# Laser induced distortion of band structure in solids: an analytic model

## TL;DR

This paper presents an analytical model for how intense oscillating electric fields can distort the electronic band structure in crystalline solids, revealing controllable modifications of band gaps.

## Contribution

It introduces an analytic approach using the Kramers-Henneberger frame to study field-induced band structure changes in solids.

## Key findings

- External fields can significantly alter band gap widths.
- Band gaps can be completely suppressed at certain field intensities.
- The model provides insights into dynamic control of electronic properties.

## Abstract

We consider a spatially periodic (cosine) potential as a model for a crystalline solid that interacts with a harmonically oscillating external electric field. This problem is periodic both in space and time and can be solved analytically using the Kramers-Henneberger co-moving frame. By analyzing the stability of the closely related Mathieu-type differential equation, the electronic band structure can be obtained. We demonstrate that by changing the field intensity, the width of the zero-field band gaps can be drastically modified, including the special case when the external field causes the band gaps to disappear