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Position-dependent mass Dirac equation and local Fermi velocity

Position-dependent mass Dirac equation and local Fermi velocity

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 …