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

Alberto Cortijo; M. A. Zubkov

doi:10.1016/j.aop.2016.01.006

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

Alberto Cortijo, M. A. Zubkov

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Pages (from-to)	45-56
Number of pages	12
Journal	Annals of Physics
Volume	366
DOIs	https://doi.org/10.1016/j.aop.2016.01.006
State	Published - 1 Mar 2016
Externally published	Yes

Keywords

Elastic deformations
Emergent gauge field
Emergent gravity
Weyl semimetal

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10.1016/j.aop.2016.01.006

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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.",

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

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Keywords

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