Results in Physics最新文献

{"title":"Estimation of Hall current infusion on blood filtration devices containing magnetized Cosserat fluids flow induced by metachronal transport system","authors":"A.A. Farooq , Khurram Javid , Sahar G. Tawfik , Haifa A Alyousef , Lamia Abu El Maati , Mujeeb Ur Rehman","doi":"10.1016/j.rinp.2026.108601","DOIUrl":"10.1016/j.rinp.2026.108601","url":null,"abstract":"<div><h3>Aim and Novelty</h3><div>Blood, being a conducting fluid, interacts with magnetic fields, allowing MHD principles to be used for pumping, separation, and filtration processes. Infusion of Hall current in magnetic fields has found numerous applications in monitoring these pumping, separation, and filtration systems. This novel characteristic enables the application of magnetohydrodynamic (MHD) principles in biomedical technologies, particularly in contactless pumping, filtration, and separation processes. This study captures these novel applications through mathematical modelling tools. When blood is induced by a sufficiently strong magnetic field, the Hall Effect emerges, introducing an additional current component that plays a significant role in monitoring and regulating these systems.</div></div><div><h3>Mathematical modeling</h3><div>The problem to be modelled contains the magneto-hydrodynamic motion of a Cosserat fluid through a channel having a porous matrix and ciliated walls actuated by a transverse magnetic field. The model determines Lorentz body forces, Hall current effects, and micropolar property in which micro-rotational vectors are incorporated to expand the classical Navier-Stokes system to a nonlinear and coupled system of equations. With pathology, there exist internal blocks brought on by the deposit of substances like cholesterol, which require modelling using porous media like Darcy Brinkman structures. To make the problem analytically tractable, a long-wavelength calculation approximation in the creeping flow regime adopting the theory of lubrication approximation, is used. Galilean transformations are also used on a steady wave frame of reference, leading to the derivation of analytical expressions of axial velocity, micro-rotation component, pressure gradient, pressure rise flow rate, and stream function. The generalized model proposed herein uses the physiological flow properties to realize the key aspects of electromechanical, magneto-hydrodynamic pumping behavior, which provides a sound theoretical basis for the physiological and ionic fluid flows under non-Newtonian and magnetically driven conditions.</div></div><div><h3>Methodology</h3><div>The analytical technique is used to find the solution of rheological equations for flow features, such as velocity profile, microrotation, pressure gradient, flow rate, and streamlines.</div></div><div><h3>Key Results</h3><div>The comparison between Newtonian and Cosserat fluids is also highlighted. When it comes to flow and trapping in MHD porous circumstances, the Cosserat fluid consistently outperforms the other fluids due to its microrotation and structural flexibility. The fluid velocity is sharply affected under magnetic influence.</div></div><div><h3>Applications</h3><div>It is found that the implication of Hall current exhibits noticeable impacts on manipulating the real-world applications of magnetic fields in surgical, blood filtration, biomedical Pumping, and bl","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"82 ","pages":"Article 108601"},"PeriodicalIF":4.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146191453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Theoretical and device-level insights into FASnBr3 perovskite solar cells: a synergistic approach Combining density functional theory and SCAPS-1D","authors":"Md Shah Nawaz Romel ,&nbsp;Rudhro Nil Mondal ,&nbsp;Fatema-Tuz-Zahra ,&nbsp;Md Rasidul Islam ,&nbsp;Sobhi M. Gomha ,&nbsp;Magdi E.A. Zaki ,&nbsp;Md Masud Rana","doi":"10.1016/j.rinp.2026.108593","DOIUrl":"10.1016/j.rinp.2026.108593","url":null,"abstract":"<div><div>In the present study, the lead-free organic–inorganic hybrid perovskite FASnBr₃, where FA represents formamidinium, is investigated as a promising solar absorber material with high photovoltaic performance and environmental sustainability. In response to the environmental and health concerns associated with lead-based perovskites, increasing attention has been directed toward the development of lead-free alternatives that can maintain excellent optoelectronic properties. This work focuses on the previously synthesized FASnBr₃ compound, with a detailed investigation of its structural and optoelectronic properties using density functional theory (DFT), alongside a comprehensive evaluation of FASnBr₃-based solar cell performance through SCAPS-1D numerical simulations. The DFT analysis reveals that FASnBr₃ possesses a direct bandgap of 1.775 eV and a high absorption coefficient, indicating its strong potential for photovoltaic applications. At the device level, multiple solar cell architectures were examined using SCAPS-1D by incorporating both inorganic and organic electron and hole transport layers. Specifically, WS₂, C₆₀, and PCBM were employed as electron transport layers (ETLs), while NiO, Cu₂O, PEDOT:PSS, and Spiro-MeOTAD were considered as hole transport layers (HTLs), with Au used as the back contact for all simulated devices. In total, twelve different device configurations were analyzed to identify the optimal structure for maximum power conversion efficiency (PCE). Key photovoltaic parameters, including open-circuit voltage (V_oc), short-circuit current density (J_sc), and fill factor (FF), were systematically evaluated by varying the combinations of ETLs, HTLs, and absorber layer thickness. The simulations indicate that an optimized absorber thickness of 600 nm, along with a defect density of 10¹⁵ cm⁻³ and a donor density of 10¹⁸ cm⁻³, leads to enhanced device performance. Among all the investigated configurations, the TCO/WS₂/FASnBr₃/Cu₂O/Au device exhibited the highest PCE of 19.80% compared to other ETL-HTL combinations. The corresponding photovoltaic parameters were also optimized, yielding a J_sc of 15.88 mA cm⁻², a V_oc of 1.530 V, and an FF of 88.50%. Furthermore, the operating temperature was varied to examine the thermal behavior and operational stability of FASnBr₃-based devices. Overall, the favorable physical, optical, and photonic properties of the lead-free FASnBr₃ perovskite, which has already been experimentally synthesized, together with the promising simulated photovoltaic performance, demonstrate that this material is a strong candidate for future solar cell development.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"82 ","pages":"Article 108593"},"PeriodicalIF":4.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146191451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Band gap engineering in armchair germanene nanoribbons under vertical and horizontal electromagnetic irradiation","authors":"Hesamodin Khodabandeloo,&nbsp;Maryam Aliannezhadi,&nbsp;Reza Kalami","doi":"10.1016/j.rinp.2026.108598","DOIUrl":"10.1016/j.rinp.2026.108598","url":null,"abstract":"<div><div>A finite and controllable band gap is essential for enabling on/off switching in nanoelectronics devices, such as field-effect transistors. Moreover, such a gap permits optical transitions to occur within specific spectral ranges, enabling light emission or photodetection at the nanoscale. Therefore, a comprehensive analysis of the electronic and transport properties of armchair germanene nanoribbons (AGeNRs) with widths <em>N</em> = 5, 6, and 7 under electromagnetic irradiation with orientations <em>θ</em> = 90° (vertical) and <em>θ</em> = 0° (horizontal)is presented. Band structure calculations reveal distinct width-dependent behavior: the pristine <em>N</em> = 5 ribbon is metallic (<em>E_g</em> ≈ 0.00 <em>eV</em>), while <em>N</em> = 6 and <em>N</em> = 7 exhibit semiconducting gaps of 0.64 <em>eV</em> and 0.69 <em>eV</em>, respectively. Vertical irradiation opens a modest gap in the metallic ribbon (<em>E_g</em> ≈ 0.14 <em>eV</em> at <em>N</em> = 5) and slightly modulates the semiconducting gaps (<em>E_g</em> ≈ 0.48 <em>eV</em> at <em>N</em> = 6 and 0.72 <em>eV</em> at <em>N</em> = 7), preserving the overall electronic phase. In contrast, horizontal irradiation induces strong field–orbital coupling and strain effects, driving <em>N</em> = 6 into a narrow-gap semiconductor regime (<em>E_g</em> ≈ 0.20 <em>eV</em>) and partial suppression in <em>N</em> = 7 (<em>E_g</em> ≈ 0.58 <em>eV</em>), while significantly enhancing the gap in <em>N</em> = 5 (<em>E_g</em> ≈ 0.34 <em>eV</em>). Density of states, transmission spectra, and current–voltage characteristics confirm these trends. These findings underscore the dual role of geometric confinement and field orientation in tailoring the electronic phase and conductivity of AGeNRs, offering a tunable platform for field-responsive nanoelectronic devices.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"82 ","pages":"Article 108598"},"PeriodicalIF":4.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146191454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Machine learning enhanced terahertz metasurface biosensor based on MXene–Graphene–Black phosphorus heterostructure for peptide detection","authors":"G. Arunachalam ,&nbsp;Anand Karuppannan ,&nbsp;Sandeep Prabhu ,&nbsp;U. Arun Kumar","doi":"10.1016/j.rinp.2026.108603","DOIUrl":"10.1016/j.rinp.2026.108603","url":null,"abstract":"<div><div>Terahertz metasurface biosensors offer a promising platform for label-free and non-invasive biomolecular detection.However, many existing designs rely on limited material platforms and operate over narrow refractive-index ranges, restricting their practical applicability in complex biological environments. In this work, a hybrid MXene–graphene–black phosphorus (BP) based terahertz metasurface biosensor is proposed for the quantitative detection of peptide biomolecules. The sensor is systematically analyzed using finite element method simulations in COMSOL Multiphysics to optimize the resonator geometry and investigate its electromagnetic response. The influence of key parameters, including graphene Fermi level, incident wave angle, and structural dimensions, on the transmission spectra is comprehensively examined. The optimized design achieves a high refractive-index sensitivity of 500 GHz/RIU over a broad operating range of 1.606–1.706 RIU, which is well suited for peptide sensing applications. To accelerate performance evaluation, a machine-learning framework based on Bayesian Ridge Regression is employed to predict resonance frequency shifts and transmission characteristics, yielding a strong predictive accuracy with R² = 0.94. Comparative analysis confirms the competitive sensitivity and wide dynamic range of the proposed sensor. Overall, the results demonstrate the strong potential of the proposed metasurface platform for rapid, label-free, and quantitative peptide biomarker detection in terahertz diagnostic applications.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"82 ","pages":"Article 108603"},"PeriodicalIF":4.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147422325","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"International Advisory Board","authors":"","doi":"10.1016/S2211-3797(26)00045-8","DOIUrl":"10.1016/S2211-3797(26)00045-8","url":null,"abstract":"","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"82 ","pages":"Article 108619"},"PeriodicalIF":4.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147422328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Using autoencoder feature compression combined with deep neural networks for precise radioisotope identification in composite spectra","authors":"Kazem Abdolpour,&nbsp;S.Farhad Masoudi,&nbsp;Atefeh Fathi","doi":"10.1016/j.rinp.2026.108608","DOIUrl":"10.1016/j.rinp.2026.108608","url":null,"abstract":"<div><div>Accurate and rapid identification of radioactive isotopes from short-duration and low-count γ-ray spectra is critical for nuclear security, environmental monitoring, and emergency response. We present a two-stage deep-learning framework combining an autoencoder for unsupervised feature compression with a multilayer perceptron (MLP) for multi-label classification. The autoencoder reduces 1,024-channel spectra to a 16-dimensional latent representation that preserves essential spectral features while suppressing noise, and the MLP predicts isotope presence from this compact embedding. Extensive testing on previously unseen single- and multi-isotope spectra demonstrates robust performance, with precision and recall exceeding 0.95 for mixtures containing up to six radioisotopes. The model maintains high accuracy under realistic spectral distortions, including ± 10% energy-calibration shifts and pronounced energy-resolution degradation, and degrades gracefully even under extreme ± 20% calibration shifts. Latent-space visualizations using t-SNE and UMAP reveal meaningful clustering according to isotopic composition, illustrating that the autoencoder organizes spectra into a structured and discriminative low-dimensional representation. Together with strong performance on both simulated and experimentally measured spectra across a wide range of distortions, these results show that the proposed framework achieves high accuracy, robustness, and generalization under diverse measurement conditions, making it a practical solution for real-world γ-ray spectroscopy applications.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"82 ","pages":"Article 108608"},"PeriodicalIF":4.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147422322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Investigating performance metrics in high volumetric utilization betavoltaic convertors: A Monte Carlo and analytical approach","authors":"Hassan Fathi ,&nbsp;Hossein Afarideh ,&nbsp;Mina Amirmazlaghani ,&nbsp;Hossein Moayedi","doi":"10.1016/j.rinp.2026.108599","DOIUrl":"10.1016/j.rinp.2026.108599","url":null,"abstract":"<div><div>Due to their low active volume, betavoltaic cells, especially those with low-energy beta sources, are often inefficient in applications that require high power density. Incorporating auxiliary side sources into high volumetric utilization structures can improve open-circuit voltage, short-circuit current, fill factor, and power density, at the expense of a reduced energy conversion efficiency. Monte Carlo simulations combined with analytical relationships were employed to investigate high-volumetric-utilization betavoltaic structures, and the accuracy of the simulation framework was verified using a laboratory-scale reference cell. The simulations integrated tritium and strontium auxiliary sources with single-stage and ten-stage SiC semiconductor converters. Key battery parameters for each structure were derived and compared. In single-stage cells, the most significant increase in short-circuit current density was observed in a cell with a primary tritium source supplemented by four planar strontium auxiliary sources. These structures increased the short-circuit current density from 72.16nA/cm² to 144.50nA/cm². Furthermore, the open-circuit voltage, maximum output power, power density, and Fill Factor improved from 2.093 V, 26.80 nW, 21.185 µW/g, and 0.9340 to 2.111 V, 54.16 nW, 38.419 µW/g, and 0.9345, respectively, while the efficiency decreased from 13.88% to 0.80%. In ten-stage cells, the same setup yielded a short-circuit current density of 5.73 µA/cm², an open-circuit voltage of 2.206 V, a maximum output power of 2.250 µW, a power density of 163.433 µW/g, and a Fill Factor of 0.9368, with an efficiency of 3.43%. While high-volumetric-utilization structures significantly increase all battery output parameters except efficiency, changing to a ten-stage arrangement increases the contribution of auxiliary sources to the desired outputs and reduces efficiency losses. The study also found that annular auxiliary sources yielded lower outputs than planar sources due to specific loss mechanisms in the source-converter design.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"82 ","pages":"Article 108599"},"PeriodicalIF":4.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147422327","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The photocatalytic efficiency of low cost TiO2 thin layers for discoloration of methylene blue","authors":"Youssef Doubi ,&nbsp;Bouchaib Hartiti ,&nbsp;Abderrazzak El amim ,&nbsp;Soufyane Kouram ,&nbsp;Abdelkrim Batan ,&nbsp;Hicham Labrim ,&nbsp;Philippe Thevenin","doi":"10.1016/j.rinp.2026.108610","DOIUrl":"10.1016/j.rinp.2026.108610","url":null,"abstract":"<div><div>TiO₂ thin films were fabricated on glass substrates via a low-cost sol–gel spin-coating route and annealed between room temperature and 400 °C to elucidate the influence of thermal treatment on structure–property–photocatalytic performance relationships. X-ray diffraction and Raman analyses confirmed the formation of phase-pure anatase TiO₂, with crystallite size increasing from ∼ 11 to ∼ 15 nm as the annealing temperature increased. SEM observations revealed uniform and granular film morphology, while EDX analysis confirmed the presence of Ti and O without detectable impurities. The films exhibited high optical transparency (∼97%) and a tunable optical band gap reduced from 3.48 to 3.22 eV. Surface wettability was significantly enhanced, with the water contact angle decreasing from 96.4° to 41.0°, indicating improved surface activity. Photocatalytic performance was evaluated using methylene blue degradation under UV irradiation at a relatively high dye concentration (50 mg·L⁻¹). The TiO₂ film annealed at 400 °C showed the highest activity, achieving degradation efficiencies of ∼ 25% at 25 °C and ∼ 35% at 50 °C within only 50 min. Despite the short irradiation time, these results compare favorably with many reported thin film systems operating under less demanding conditions. This study demonstrates that efficient early-stage photocatalytic performance can be achieved through controlled low-temperature annealing, providing a scalable and application relevant strategy for functional TiO₂ coatings in environmental remediation.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"82 ","pages":"Article 108610"},"PeriodicalIF":4.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147423832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Sensitivity enhanced terahertz plasmonic metasurface biosensor based on symmetrical graphene–gold–silver resonators for breast cancer biomarker detection","authors":"S. Usha ,&nbsp;Anju Anil Jalaja ,&nbsp;Sampath Anbazhagan ,&nbsp;U. Arun Kumar","doi":"10.1016/j.rinp.2026.108607","DOIUrl":"10.1016/j.rinp.2026.108607","url":null,"abstract":"<div><div>Breast Cancer continues to be one of the leading causes of cancer related death among women worldwide, highlighting that there is a significant need for novel non -invasive methods for screening and detecting early stage breast cancer. Conventional diagnostic methods, such as mammography and biopsy, have limitations including invasiveness, ionizing radiation exposure, and reduced sensitivity for early-stage tumors. This study proposes a novel method for breast cancer screening and detection using a Terahertz (THz) Metamaterial Biosensor that incorporates Graphene, Gold (Au), Silver (Ag), Copper (Cu) Nano-Structures to enable selective and sensitive biomarker detection by measuring the refractive index changes of the material. The Sensor Architecture has a hierarchical structure consisting of nested resonators (Circular Au Rings, Rectangular Ag Resonators, and Square Cu Rings) which are located on a Graphene-Coated Glass Substrate and were optimized to create Surface Plasmon Resonance (SPR) and EM Field Confinement in the THz Regime. Machine Learning and simulation results indicate that the proposed sensor achieves a sensitivity of 500 GHz/RIU and Figure of Merit (FOM) values ranging from 1.744 to 4.202 RIU⁻¹ and detection limits below 1.01 RIU. The sensor’s absorption and resonance responses is modified via changing graphene’s chemical potential (0.1–0.9 eV), incidence angle (0°–80°), and resonator geometry (Square Ring Side Length 4.6–9.6 µm). The peak absorption reaches 57.518 % at 0.9 eV. An XGBoost model was employed to accurately predict sensor performance based on refractive index, incidence angle, and resonator size variation for which the R² &gt; 0.9997 was attained. This integration of plasmonic metasurface design and machine learning provides a robust, highly precise design for early breast cancer screening and detection with potential clinical translation and supporting the objectives of Sustainable Development Goal 3 (SDG 3): Good Health and Well-Being by promoting early diagnosis and improved healthcare outcomes.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"82 ","pages":"Article 108607"},"PeriodicalIF":4.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147423830","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Oxygen-doping dependence of the in-plane effective mass in the HgBa2CuO4+δ superconductor: A Casimir–Kempf model analysis","authors":"Abdullo Ahadov ,&nbsp;Davron Dzhuraev","doi":"10.1016/j.rinp.2026.108589","DOIUrl":"10.1016/j.rinp.2026.108589","url":null,"abstract":"<div><div>The superconducting properties of high-<span><math><mrow><msub><mi>T</mi><mi>c</mi></msub></mrow></math></span> cuprates are extremely sensitive to oxygen doping, which strongly modifies their lattice geometry and carrier dynamics. In this work, analytical relations derived within the Casimir–Kempf framework are applied to describe the doping dependence of the in-plane effective mass <span><math><mrow><msup><mrow><msub><mi>m</mi><mrow><mi>ab</mi></mrow></msub></mrow><mrow><mo>∗</mo></mrow></msup></mrow></math></span> in <span><math><mrow><mi>H</mi><mi>g</mi><msub><mrow><mi>B</mi><mi>a</mi></mrow><mn>2</mn></msub><mi>C</mi><mi>u</mi><msub><mi>O</mi><mrow><mn>4</mn><mo>+</mo><mi>δ</mi></mrow></msub></mrow></math></span> (Hg-1201). The model connects superconducting parameters to the Casimir energy of confined vacuum electromagnetic modes between adjacent <span><math><mrow><msub><mrow><mi>C</mi><mi>u</mi><mi>O</mi></mrow><mn>2</mn></msub></mrow></math></span> planes, establishing a geometric link among <span><math><mrow><msup><mrow><msub><mi>m</mi><mrow><mi>ab</mi></mrow></msub></mrow><mrow><mo>∗</mo></mrow></msup></mrow></math></span>, the interlayer spacing <em>c</em>, the lattice constant <em>a</em>, the number of doped holes per Cu site <span><math><mrow><msub><mi>n</mi><mi>h</mi></msub></mrow></math></span>, and the critical temperature <span><math><mrow><msub><mi>T</mi><mi>c</mi></msub></mrow></math></span>. Using experimentally reported structural and transport data, <span><math><mrow><msup><mrow><msub><mi>m</mi><mrow><mi>ab</mi></mrow></msub></mrow><mrow><mo>∗</mo></mrow></msup><mrow><mo>(</mo><mi>δ</mi><mo>)</mo></mrow></mrow></math></span> values in the range <span><math><mrow><mspace></mspace></mrow></math></span> 4–9 <span><math><mrow><msub><mi>m</mi><mi>e</mi></msub></mrow></math></span> were obtained, showing a gradual increase with oxygen content and a sharp rise in the heavily overdoped region. The results indicate that the Casimir–Kempf geometric contribution provides a complementary, phenomenological scaling link between lattice geometry and the inferred in-plane effective mass. We emphasize that the extracted <span><math><mrow><msup><mrow><msub><mi>m</mi><mrow><mi>ab</mi></mrow></msub></mrow><mrow><mo>∗</mo></mrow></msup><mrow><mo>(</mo><mi>δ</mi><mo>)</mo></mrow></mrow></math></span> trends may also reflect conventional electronic mechanisms (band-structure renormalization, correlations, and scattering-rate effects), which are not disentangled in the present analysis.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"81 ","pages":"Article 108589"},"PeriodicalIF":4.6,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146078695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}