Emergent gravity in the cubic tight-binding model of Weyl semimetal in the presence of elastic deformations

TL;DR

This paper explores how elastic deformations in a cubic Weyl semimetal model lead to emergent gauge fields and gravitational effects, revealing novel interactions between lattice distortions and electronic properties.

Contribution

It introduces a model where elastic deformations induce emergent gauge and gravitational fields in a Weyl semimetal with cubic symmetry.

Findings

Elastic deformations modify hopping parameters.

Emergent gauge fields arise from lattice distortions.

Fermi velocity becomes coordinate-dependent and anisotropic.

Abstract

We consider the tight-binding model with cubic symmetry that may be relevant for the description of a certain class of Weyl semimetals. We take into account elastic deformations of the semimetal through the modification of hopping parameters. This modification results in the appearance of emergent gauge field and the coordinate dependent anisotropic Fermi velocity. The latter may be interpreted as emergent gravitational field.