Husimi Maps in Lattices

Abstract

We build upon previous work that used coherent states as a measurement of the local phase space and extended the flux operator by adapting the Husimi projection to produce a vector field called the Husimi map. In this article, we extend its definition from continuous systems to lattices. This requires making several adjustments to incorporate effects such as group velocity and multiple bands. Several phenomena which uniquely occur in lattice systems, like group-velocity warping and internal Bragg diffraction, are explained and demonstrated using Husimi maps. We also show that scattering points between bands and valleys can be identified in the divergence of the Husimi map.

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Cited by in corpus (6)

• Theoretical analysis of a dual-probe scanning tunneling microscope setup on graphene
• Valley-dependent time evolution of coherent electron states in tilted anisotropic Dirac materials
• Phase-space representation of Landau and electron coherent states for uniaxially strained graphene
• Large-scale tight-binding simulations of quantum transport in ballistic graphene
• Husimi function for electrons moving in magnetic fields
• Coherent states for dispersive pseudo-Landau-levels in strained honeycomb lattices