Position-dependent mass Dirac equation and local Fermi velocity

Abstract

We present a new approach to study (1+1)-dimensional Dirac equation in the background of an effective mass $M$ by exploiting the possibility of a position-dependent fermi velocity $v_f$. We explore the resulting structure of the coupled equations and arrive at an interesting constraint of $M$ turning out to be the inverse square of $v_f$. We address several solutions of the effective potential that include the free particle, shifted harmonic oscillator, Morse potential, and CPRS potential.

10 pages, 2 figures

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Cited by in corpus (4)

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• Pseudo-Hermitian Dirac operator on the torus for massless fermions under the action of external fields
• Non-hermitian Dirac Hamiltonian in the presence of local Fermi velocity