Supersymmetric quantum electronic states in graphene under uniaxial strain

Yajaira Concha Sanchez; Adolfo Huet; Alfredo Raya; David Valenzuela

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arXiv · 1806.03382

Supersymmetric quantum electronic states in graphene under uniaxial strain

Yajaira Concha Sanchez·Adolfo Huet·Alfredo Raya·David Valenzuela

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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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Yajaira Concha Sanchez, Adolfo Huet, Alfredo Raya, David Valenzuela. 2018-06-08. Supersymmetric quantum electronic states in graphene under uniaxial strain. https://arxiv.org/abs/1806.03382

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