Coherent states for dispersive pseudo-Landau-levels in strained honeycomb lattices

TL;DR

This paper investigates the semi-classical dynamics of Dirac fermions in strained graphene with pseudo-Landau levels using coherent states, revealing effects of momentum dependence on motion and phase space distribution.

Contribution

It introduces a method to construct Perelomov coherent states for dispersive pseudo-Landau levels in strained honeycomb lattices, analyzing their quantum dynamics.

Findings

Momentum dependence influences motion periodicity.

Wigner function shape varies with system parameters.

Coherent states exhibit non-trivial evolution in phase space.

Abstract

Dirac fermions in graphene may experiment dispersive pseudo-Landau levels due to a homogeneous pseudomagnetic field and a position-dependent Fermi velocity induced by strain. In this paper, we study the (semi-classical) dynamics of these particles under such a physical context from an approach of coherent states. For this purpose we use a Landau-like gauge to built Perelomov coherent states by the action of a non-unitary displacement operator $D(\alpha)$ on the fundamental state of the system. We analyze the time evolution of the probability density and the generalized uncertainty principle as well as the Wigner function for the coherent states. Our results show how $x$-momentum dependency affects the motion periodicity and the Wigner function shape in phase space.