Supersymmetric quantum electronic states in graphene under uniaxial strain

2018/06/08 by Y. Concha-Sánchez, Adolfo Huet, Sanchez, Yajaira Concha +6 · 1 citation
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and Classical Electrodynamics #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.1806.03382

openalex publication_date 2018/06/08 · openalex created_date 2018/06/13 · openalex updated_date 2026/07/28

Abstract

We study uniaxially strained graphene under the influence of non-uniform magnetic fields perpendicular to the material sample with a coordinate independent strain tensor. For that purpose, we solve the Dirac equation with anisotropic Fermi velocity and explore the conditions upon which such an equation possesses a supersymmetric structure in the quantum mechanical sense through examples. Working in a Laudau-like gauge, wave functions and energy eigenvalues are found analytically in terms of the magnetic field intensity, the anisotropy scales and other relevant parameters that shape the magnetic field profiles.

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• Spectral analysis of Dirac materials in position-dependent magnetic and electric fields via Heun functions

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