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

Journal Article · Tue Mar 15 00:00:00 EDT 2016 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2016.01.006· OSTI ID:22560301

Cortijo, Alberto ^[1]

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1. Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, 28049 Madrid (Spain)

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.

• OSTI ID: 22560301
• Journal Information: Annals of Physics, Vol. 366, Issue Complete; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANISOTROPY
COORDINATES
DEFORMATION
GAUGE INVARIANCE
GRAVITATIONAL FIELDS
MODIFICATIONS
SEMIMETALS
SYMMETRY
VELOCITY