Nonlinear Coherent States for Anisotropic 2D Dirac Materials

2021 
We construct nonlinear coherent states for electrons in anisotropic 2D Dirac materials in a homogeneous magnetic field orthogonal to the sample. By solving the anisotropic Dirac equation in Landau gauge, we identify the ladder operators of the system. Nonlinear coherent states are obtained as eigenstates of a generalized annihilation operator with complex eigenvalues which depends on an arbitrary function f of the number operator. The anisotropy effects on these states are analyzed by using the probability density and the Heisenberg uncertainty relation for three different choices of f.
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