Electron coherent states in strained graphene
June 10, 2020
We construct electron coherent states in strained graphene immersed in a constant homogeneous magnetic field which is orthogonal to the sample surface. We consider the situation in which the membrane is deformed uniformily and uniaxially, avoiding the generation of pseudo-magnetic fields and solve the Dirac-Weyl equation with an anisotropic Fermi velocity, identifying the appropriate rising and lowering operators. Working in a Landau gauge, we explicitly construct nonlinear coherent states as eigenstates of a generalized annihilation operator with complex eigenvalues which depends on an arbitrary function $f$ of the number operator. In order to describe the anisotropy effects on these states, we obtain density probability for three different functions $f$.
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