Bloch electrons in electric and magnetic fields
Alejandro Kunold, Manuel Torres
TL;DR
This paper studies the behavior of two-dimensional Bloch electrons under constant electric and magnetic fields, revealing a quasienergy spectrum that transitions between butterfly-like and Stark ladder structures.
Contribution
It introduces a finite difference model for Bloch electrons in combined electric and magnetic fields, highlighting the spectrum's interpolation between two known structures.
Findings
Quasienergy spectrum exhibits butterfly-like and Stark ladder features.
Electric and magnetic translation operators are key to analysis.
Spectrum interpolates between two distinct structures.
Abstract
We investigate Bloch electrons in two dimensions subject to constant electric and magnetic fields. The model that results from our pursuit is governed by a finite difference equation with a quasienergy spectrum that interpolates between a butterfly-like structure and a Stark ladder structure. These findings ensued from the use of electric and magnetic translation operators.
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