{"title":"Dirac fermions in graphene under curved spacetime: a study of Beltrami geometry and \\({{\\mathcal {CPT}}}\\) symmetry","authors":"Ikram Imane Kouachi, Özlem Yeşiltaş","doi":"10.1140/epjc/s10052-025-13803-z","DOIUrl":null,"url":null,"abstract":"<div><p>We analyze the dynamics of Dirac fermions in graphene set within Beltrami spacetime, characterized by a negative curvature. This research investigates how both curvature and external electromagnetic fields influence electron motion, particularly in terms of Landau level quantization and the quantum Hall effect. By utilizing Darboux transformations, we construct novel solvable potentials along with their associated solutions. Furthermore, we assess the role of <span>\\({\\mathcal {CPT}}\\)</span> symmetry in shaping the Hamiltonian and derive the metric operator <span>\\(\\eta \\)</span> within the framework of pseudo-Hermitian quantum mechanics. This study sheds light on the intricate relationship between curvature, symmetry, and quantum behavior in graphene-based systems. We have tested our results using numerical calculations.</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"85 1","pages":""},"PeriodicalIF":4.2000,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-13803-z.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal C","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjc/s10052-025-13803-z","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
引用次数: 0
Abstract
We analyze the dynamics of Dirac fermions in graphene set within Beltrami spacetime, characterized by a negative curvature. This research investigates how both curvature and external electromagnetic fields influence electron motion, particularly in terms of Landau level quantization and the quantum Hall effect. By utilizing Darboux transformations, we construct novel solvable potentials along with their associated solutions. Furthermore, we assess the role of \({\mathcal {CPT}}\) symmetry in shaping the Hamiltonian and derive the metric operator \(\eta \) within the framework of pseudo-Hermitian quantum mechanics. This study sheds light on the intricate relationship between curvature, symmetry, and quantum behavior in graphene-based systems. We have tested our results using numerical calculations.
期刊介绍：
Experimental Physics I: Accelerator Based High-Energy Physics
Hadron and lepton collider physics
Lepton-nucleon scattering
High-energy nuclear reactions
Standard model precision tests
Search for new physics beyond the standard model
Heavy flavour physics
Neutrino properties
Particle detector developments
Computational methods and analysis tools
Experimental Physics II: Astroparticle Physics
Dark matter searches
High-energy cosmic rays
Double beta decay
Long baseline neutrino experiments
Neutrino astronomy
Axions and other weakly interacting light particles
Gravitational waves and observational cosmology
Particle detector developments
Computational methods and analysis tools
Theoretical Physics I: Phenomenology of the Standard Model and Beyond
Electroweak interactions
Quantum chromo dynamics
Heavy quark physics and quark flavour mixing
Neutrino physics
Phenomenology of astro- and cosmoparticle physics
Meson spectroscopy and non-perturbative QCD
Low-energy effective field theories
Lattice field theory
High temperature QCD and heavy ion physics
Phenomenology of supersymmetric extensions of the SM
Phenomenology of non-supersymmetric extensions of the SM
Model building and alternative models of electroweak symmetry breaking
Flavour physics beyond the SM
Computational algorithms and tools...etc.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
