Cyclotron-Bloch dynamics of a quantum particle in a two-dimensional lattice II

TL;DR

This paper investigates the complex quantum dynamics of a charged particle in a 2D lattice under electric and magnetic fields, revealing various regimes based on field strength, direction, and magnetic phase.

Contribution

It provides a detailed analysis of how electric and magnetic field parameters influence quantum particle motion in a lattice, highlighting different dynamical regimes.

Findings

Multiple dynamical regimes identified based on field conditions.

Dependence of particle motion on electric field orientation and strength.

Impact of magnetic phase on quantum dynamics.

Abstract

We study the quantum dynamics of a charged particle in a two-dimensional lattice, subject to constant and homogeneous electric and magnetic fields. We find that different regimes characterize these motions, depending on a combination of conditions, corresponding to weak and strong electric field intensities, rational or irrational directions of the electric field with respect to the lattice, and small or large values of the magnetic (Peierls) phase.