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HYPERTILING — a high performance Python library for the generation and visualization of hyperbolic lattices HYPERTILING - 用于生成和可视化双曲网格的高性能 Python 库
IF 5.5 2区 物理与天体物理
SciPost Physics Pub Date : 2024-08-28 DOI: 10.21468/scipostphyscodeb.34
Manuel Schrauth, Yanick Thurn, Florian Goth, Jefferson Portela, Dietmar Herdt, Felix Dusel
{"title":"HYPERTILING — a high performance Python library for the generation and visualization of hyperbolic lattices","authors":"Manuel Schrauth, Yanick Thurn, Florian Goth, Jefferson Portela, Dietmar Herdt, Felix Dusel","doi":"10.21468/scipostphyscodeb.34","DOIUrl":"https://doi.org/10.21468/scipostphyscodeb.34","url":null,"abstract":"HYPERTILING is a high-performance Python library for the generation and visualization of regular hyperbolic lattices embedded in the Poincar'e disk model. Using highly optimized, efficient algorithms, hyperbolic tilings with millions of vertices can be created in a matter of minutes on a single workstation computer. Facilities including computation of adjacent vertices, dynamic lattice manipulation, refinements, as well as powerful plotting and animation capabilities are provided to support advanced uses of hyperbolic graphs. In this manuscript, we present a comprehensive exploration of the package, encompassing its mathematical foundations, usage examples, applications, and a detailed description of its implementation.","PeriodicalId":21682,"journal":{"name":"SciPost Physics","volume":"2022 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142187437","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}
引用次数: 0
Non-invertible symmetries and higher representation theory II 不可逆对称和高级表示理论 II
IF 5.5 2区 物理与天体物理
SciPost Physics Pub Date : 2024-08-26 DOI: 10.21468/scipostphys.17.2.067
Thomas Bartsch, Mathew Bullimore, Andrea E. V. Ferrari, Jamie Pearson
{"title":"Non-invertible symmetries and higher representation theory II","authors":"Thomas Bartsch, Mathew Bullimore, Andrea E. V. Ferrari, Jamie Pearson","doi":"10.21468/scipostphys.17.2.067","DOIUrl":"https://doi.org/10.21468/scipostphys.17.2.067","url":null,"abstract":"In this paper we continue our investigation of the global categorical symmetries that arise when gauging finite higher groups and their higher subgroups with discrete torsion. The motivation is to provide a common perspective on the construction of non-invertible global symmetries in higher dimensions and a precise description of the associated symmetry categories. We propose that the symmetry categories obtained by gauging higher subgroups may be defined as higher group-theoretical fusion categories, which are built from the projective higher representations of higher groups. As concrete applications we provide a unified description of the symmetry categories of gauge theories in three and four dimensions based on the Lie algebra $mathfrak{so}(N)$, and a fully categorical description of non-invertible symmetries obtained by gauging a 1-form symmetry with a mixed 't Hooft anomaly. We also discuss the effect of discrete torsion on symmetry categories, based a series of obstructions determined by spectral sequence arguments.","PeriodicalId":21682,"journal":{"name":"SciPost Physics","volume":"27 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142187444","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}
引用次数: 0
Boundary condition and reflection anomaly in $2+1$ dimensions 2+1$ 维的边界条件和反射异常
IF 5.5 2区 物理与天体物理
SciPost Physics Pub Date : 2024-08-26 DOI: 10.21468/scipostphys.17.2.068
Jiunn-Wei Chen, Chang-Tse Hsieh, Ryutaro Matsudo
{"title":"Boundary condition and reflection anomaly in $2+1$ dimensions","authors":"Jiunn-Wei Chen, Chang-Tse Hsieh, Ryutaro Matsudo","doi":"10.21468/scipostphys.17.2.068","DOIUrl":"https://doi.org/10.21468/scipostphys.17.2.068","url":null,"abstract":"It is known that the $2+1$d single Majorana fermion theory has an anomaly of the reflection, which is canceled out when 16 copies of the theory are combined. Therefore, it is expected that the reflection symmetric boundary condition is impossible for one Majorana fermion, but possible for 16 Majorana fermions. In this paper, we consider a reflection symmetric boundary condition that varies at a single point, and find that there is a problem with one Majorana fermion. The problem is the absence of a corresponding outgoing wave to a specific incoming wave into the boundary, which leads to the non-conservation of the energy. For 16 Majorana fermions, it is possible to connect every incoming wave to an outgoing wave without breaking the reflection symmetry. In addition, we discuss the connection with the fermion-monopole scattering in $3+1$ dimensions.","PeriodicalId":21682,"journal":{"name":"SciPost Physics","volume":"23 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142187439","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}
引用次数: 0
Quantum-critical properties of the one- and two-dimensional random transverse-field Ising model from large-scale quantum Monte Carlo simulations 从大规模量子蒙特卡罗模拟看一维和二维随机横向场伊辛模型的量子临界特性
IF 5.5 2区 物理与天体物理
SciPost Physics Pub Date : 2024-08-23 DOI: 10.21468/scipostphys.17.2.061
Calvin Krämer, Jan Alexander Koziol, Anja Langheld, Max Hörmann, Kai Phillip Schmidt
{"title":"Quantum-critical properties of the one- and two-dimensional random transverse-field Ising model from large-scale quantum Monte Carlo simulations","authors":"Calvin Krämer, Jan Alexander Koziol, Anja Langheld, Max Hörmann, Kai Phillip Schmidt","doi":"10.21468/scipostphys.17.2.061","DOIUrl":"https://doi.org/10.21468/scipostphys.17.2.061","url":null,"abstract":"We study the ferromagnetic transverse-field Ising model with quenched disorder at $T = 0$ in one and two dimensions by means of stochastic series expansion quantum Monte Carlo simulations using a rigorous zero-temperature scheme. Using a sample-replication method and averaged Binder ratios, we determine the critical shift and width exponents $nu_mathrm{s}$ and $nu_mathrm{w}$ as well as unbiased critical points by finite-size scaling. Further, scaling of the disorder-averaged magnetisation at the critical point is used to determine the order-parameter critical exponent $beta$ and the critical exponent $nu_{mathrm{av}}$ of the average correlation length. The dynamic scaling in the Griffiths phase is investigated by measuring the local susceptibility in the disordered phase and the dynamic exponent $z'$ is extracted. By applying various finite-size scaling protocols, we provide an extensive and comprehensive comparison between the different approaches on equal footing. The emphasis on effective zero-temperature simulations resolves several inconsistencies in existing literature.","PeriodicalId":21682,"journal":{"name":"SciPost Physics","volume":"33 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142187447","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}
引用次数: 0
Mode-shell correspondence, a unifying phase space theory in topological physics - Part I: Chiral number of zero-modes 模壳对应,拓扑物理学中的统一相空间理论--第一部分:零模的手性数
IF 5.5 2区 物理与天体物理
SciPost Physics Pub Date : 2024-08-23 DOI: 10.21468/scipostphys.17.2.060
Lucien Jezequel, Pierre Delplace
{"title":"Mode-shell correspondence, a unifying phase space theory in topological physics - Part I: Chiral number of zero-modes","authors":"Lucien Jezequel, Pierre Delplace","doi":"10.21468/scipostphys.17.2.060","DOIUrl":"https://doi.org/10.21468/scipostphys.17.2.060","url":null,"abstract":"We propose a theory, that we call the mode-shell correspondence, which relates the topological zero-modes localised in phase space to a shell invariant defined on the surface forming a shell enclosing these zero-modes. We show that the mode-shell formalism provides a general framework unifying important results of topological physics, such as the bulk-edge correspondence, higher-order topological insulators, but also the Atiyah-Singer and the Callias index theories. In this paper, we discuss the already rich phenomenology of chiral symmetric Hamiltonians where the topological quantity is the chiral number of zero-dimensional zero-energy modes. We explain how, in a lot of cases, the shell-invariant has a semi-classical limit expressed as a generalised winding number on the shell, which makes it accessible to analytical computations.","PeriodicalId":21682,"journal":{"name":"SciPost Physics","volume":"160 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142187448","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}
引用次数: 0
A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs 非单元体-边界对应:来自 S-fold SCFT 的非统一哈格鲁普 RCFT
IF 5.5 2区 物理与天体物理
SciPost Physics Pub Date : 2024-08-23 DOI: 10.21468/scipostphys.17.2.064
Dongmin Gang, Dongyeob Kim, Sungjay Lee
{"title":"A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs","authors":"Dongmin Gang, Dongyeob Kim, Sungjay Lee","doi":"10.21468/scipostphys.17.2.064","DOIUrl":"https://doi.org/10.21468/scipostphys.17.2.064","url":null,"abstract":"We introduce a novel class of two-dimensional non-unitary rational conformal field theories (RCFTs) whose modular data are identical to the generalized Haagerup-Izumi modular data. Via the bulk-boundary correspondence, they are related to the three-dimensional non-unitary Haagerup topological field theories, recently constructed by a topological twisting of three-dimensional $mathcal{N}=4$ rank-zero superconformal field theories (SCFTs), called S-fold SCFTs. We propose that, up to the overall factors, the half-indices of the rank-zero SCFTs give the explicit Nahm representation of four conformal characters of the RCFTs including the vacuum character. Using the theory of Bantay-Gannon, we can successfully complete them into the full admissible conformal characters of the RCFTs.","PeriodicalId":21682,"journal":{"name":"SciPost Physics","volume":"7 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142187450","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}
引用次数: 0
Density-matrix mean-field theory 密度矩阵平均场理论
IF 5.5 2区 物理与天体物理
SciPost Physics Pub Date : 2024-08-23 DOI: 10.21468/scipostphys.17.2.062
Junyi Zhang, Zhengqian Cheng
{"title":"Density-matrix mean-field theory","authors":"Junyi Zhang, Zhengqian Cheng","doi":"10.21468/scipostphys.17.2.062","DOIUrl":"https://doi.org/10.21468/scipostphys.17.2.062","url":null,"abstract":"Mean-field theories have proven to be efficient tools for exploring diverse phases of matter, complementing alternative methods that are more precise but also more computationally demanding. Conventional mean-field theories often fall short in capturing quantum fluctuations, which restricts their applicability to systems with significant quantum effects. In this article, we propose an improved mean-field theory, density-matrix mean-field theory (DMMFT). DMMFT constructs effective Hamiltonians, incorporating quantum environments shaped by entanglements, quantified by the reduced density matrices. Therefore, it offers a systematic and unbiased approach to account for the effects of fluctuations and entanglements in quantum ordered phases. As demonstrative examples, we show that DMMFT can not only quantitatively evaluate the renormalization of order parameters induced by quantum fluctuations, but can also detect the topological quantum phases. Additionally, we discuss the extensions of DMMFT for systems at finite temperatures and those with disorders. Our work provides an efficient approach to explore phases exhibiting unconventional quantum orders, which can be particularly beneficial for investigating frustrated spin systems in high spatial dimensions.","PeriodicalId":21682,"journal":{"name":"SciPost Physics","volume":"13 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142187442","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}
引用次数: 0
Universality and the thermoelectric transport properties of a double quantum dot system: Seeking for conditions that improve the thermoelectric efficiency 双量子点系统的普遍性和热电传输特性:寻找提高热电效率的条件
IF 5.5 2区 物理与天体物理
SciPost Physics Pub Date : 2024-08-23 DOI: 10.21468/scipostphyscore.7.3.058
Ronald Santiago Cortes-Santamaria, J. A. Landazabal-Rodríguez, Jereson Silva-Valencia, Edwin Ramos, M. S. Figueira, Roberto Franco Peñaloza
{"title":"Universality and the thermoelectric transport properties of a double quantum dot system: Seeking for conditions that improve the thermoelectric efficiency","authors":"Ronald Santiago Cortes-Santamaria, J. A. Landazabal-Rodríguez, Jereson Silva-Valencia, Edwin Ramos, M. S. Figueira, Roberto Franco Peñaloza","doi":"10.21468/scipostphyscore.7.3.058","DOIUrl":"https://doi.org/10.21468/scipostphyscore.7.3.058","url":null,"abstract":"Employing universal relations for the Onsager coefficients in the linear regime at the symmetric point of the single impurity Anderson model, we calculate the conditions under which the quantum scattering phase shift should satisfy to produce the asymptotic Carnot’s limit for the thermoelectric efficiency. We show that a single quantum dot connected by metallic leads at the Kondo regime cannot achieve the best thermoelectric efficiency. We study a serial double quantum dot system, with the quantum dots immersed in ballistic conduction channels. Each QD exhibits a strong but finite local electronic correlation U. We show that maintaining one dot in the electron-hole symmetric point and allowing charge fluctuations in the other QD makes it possible to drive the system to the maximum thermoelectric efficiency. We also show that the bound states in the continuum (BICs) and quasi-BICs associated with the quantum scattering interference process drive the DQD to the maximum thermoelectric efficiency. We identify two types of quasi-BICs that occur at low and high temperatures: The first is associated with single Fano resonances, and the last is with several Fano processes. We also discussed possible temperature values and conditions that could be linked with the experimental realization of the results.","PeriodicalId":21682,"journal":{"name":"SciPost Physics","volume":"82 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142187449","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}
引用次数: 0
Mean-field theory of first-order quantum superconductor-insulator transition 一阶量子超导体-绝缘体转变的均场理论
IF 5.5 2区 物理与天体物理
SciPost Physics Pub Date : 2024-08-23 DOI: 10.21468/scipostphys.17.2.066
Igor Poboiko, Mikhail V. Feigel'man
{"title":"Mean-field theory of first-order quantum superconductor-insulator transition","authors":"Igor Poboiko, Mikhail V. Feigel'man","doi":"10.21468/scipostphys.17.2.066","DOIUrl":"https://doi.org/10.21468/scipostphys.17.2.066","url":null,"abstract":"Recent experimental studies on strongly disordered indium oxide films have revealed an unusual first-order quantum phase transition between the superconducting and insulating states (SIT). This transition is characterized by a discontinuous jump from non-zero to zero values of superfluid stiffness at the critical point, contradicting the conventional \"scaling scenario\" typically associated with SIT. In this paper, we present a theoretical framework for understanding this first-order transition. Our approach is based on the concept of competition between two fundamentally distinct ground states that arise from electron pairs initially localized by strong disorder: the superconducting state and the Coulomb glass insulator. These ground states are distinguished by two crucially different order parameters, suggesting a natural expectation of a discontinuous transition between them at $T=0$. This transition occurs when the magnitudes of the superconducting gap $Delta$ and the Coulomb gap $E_C$ become comparable. Additionally, we extend our analysis to low non-zero temperatures and provide a mean-field \"phase diagram\" in the plane of $(T/Delta,E_C/Delta)$. Our results reveal the existence of a natural upper bound for the kinetic inductance of strongly disordered superconductors.","PeriodicalId":21682,"journal":{"name":"SciPost Physics","volume":"59 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142187441","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}
引用次数: 0
Disordered non-Fermi liquid fixed point for two-dimensional metals at Ising-nematic quantum critical points 二维金属在等静量子临界点的无序非费米液体定点
IF 5.5 2区 物理与天体物理
SciPost Physics Pub Date : 2024-08-23 DOI: 10.21468/scipostphys.17.2.059
Kyoung-Min Kim, Ki-Seok Kim
{"title":"Disordered non-Fermi liquid fixed point for two-dimensional metals at Ising-nematic quantum critical points","authors":"Kyoung-Min Kim, Ki-Seok Kim","doi":"10.21468/scipostphys.17.2.059","DOIUrl":"https://doi.org/10.21468/scipostphys.17.2.059","url":null,"abstract":"Understanding the influence of quenched random potential is crucial for comprehending the exotic electronic transport of non-Fermi liquid metals near metallic quantum critical points. In this study, we identify a stable fixed point governing the quantum critical behavior of two-dimensional non-Fermi liquid metals in the presence of a random potential disorder. By performing renormalization group analysis on a dimensional-regularized field theory for Ising-nematic quantum critical points, we systematically investigate the interplay between random potential disorder for electrons and Yukawa-type interactions between electrons and bosonic order-parameter fluctuations in a perturbative epsilon expansion. At the one-loop order, the effective field theory lacks stable fixed points, instead exhibiting a runaway flow toward infinite disorder strength. However, at the two-loop order, the effective field theory converges to a stable fixed point characterized by finite disorder strength, termed the \"disordered non-Fermi liquid (DNFL) fixed point\". Our investigation reveals that two-loop vertex corrections induced by Yukawa couplings are pivotal in the emergence of the DNFL fixed point, primarily through screening disorder scattering. Additionally, the DNFL fixed point is distinguished by a substantial anomalous scaling dimension of fermion fields, resulting in pseudogap-like behavior in the electron's density of states. These findings shed light on the quantum critical behavior of disordered non-Fermi liquid metals, emphasizing the indispensable role of higher-order loop corrections in such comprehension.","PeriodicalId":21682,"journal":{"name":"SciPost Physics","volume":"7 1","pages":""},"PeriodicalIF":5.5,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142187446","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}
引用次数: 0
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