Emergent gravity in the cubic tight-binding model of Weyl semimetal in the presence of elastic deformations
arXiv:1508.04462 · doi:10.1016/j.aop.2016.01.006
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.
arXiv commentLatex, 12 pages. arXiv admin note: text overlap with arXiv:1508.03114
References in corpus (27)
- Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
- Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal CdAs
- Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
- Experimental Realization of a Three-Dimensional Dirac Semimetal
- Gauge fields in graphene
- Topological response in Weyl semimetals and the chiral anomaly
- Physical Aspects of the Space-Time Torsion
- Axionic field theory of (3+1)-dimensional Weyl semi-metals
- Space dependent Fermi velocity in strained graphene
- Protected boundary states in gapless topological phases
- Topological Invariants, Instantons and Chiral Anomaly on Spaces with Torsion
- Friedel oscillations due to Fermi arcs in Weyl semimetals
- A condensed matter realization of the axial magnetic effect
- Understanding electron behavior in strained graphene as a reciprocal space distortion
- Generalized effective hamiltonian for graphene under non-uniform strain
- Emergent Weyl spinors in multi-fermion systems
- Torsion, Parity-odd Response and Anomalies in Topological States
- Comment on: Topological Invariants, instantons, and the chiral anomaly on spaces with torsion
- Geometrical and topological aspects of graphene and related materials
- On the chiral anomaly in non-Riemannian spacetimes
- Emergent Horava gravity in graphene
- Emergent gravity and chiral anomaly in Dirac semimetals in the presence of dislocations
- Comment on "Weyl fermions and the anomalous Hall effect in metallic ferromagnets"
- Emergent geometry experienced by fermions in graphene in the presence of dislocations
- Momentum space topological invariants for the 4D relativistic vacua with mass gap
- Adler-Bell-Jackiw anomaly, the Nieh-Yan form, and vacuum polarization
- Anomalies and gravity
Cited by in corpus (32)
- Electronic and optical properties of strained graphene and other strained 2D materials: a review
- Strain induced Chiral Magnetic Effect in Weyl semimetals
- Pseudo-electromagnetic fields in topological semimetals
- Thermal transport, geometry, and anomalies
- Rotational strain in Weyl semimetals: A continuum approach
- Designer curved-space geometry for relativistic fermions in Weyl metamaterials
- Mixed axial-torsional anomaly in Weyl semimetals
- Anomalous Transport Due to the Conformal Anomaly
- Landau levels, Bardeen polynomials and Fermi arcs in Weyl semimetals: the who's who of the chiral anomaly
- Torsional Landau levels and geometric anomalies in condensed matter Weyl systems
- Tunable axial gauge fields in engineered Weyl semimetals: Semiclassical analysis and optical lattice implementations
- Chiral torsional effect
- Curved spacetime theory of inhomogeneous Weyl materials
- Tetrads in solids: from elasticity theory to topological quantum Hall systems and Weyl fermions
- Acoustogalvanic effect in Dirac and Weyl semimetals
- Weyl Anomaly Induced Current in Boundary Quantum Field Theories
- Topological magnetotorsional effect in Weyl semimetals
- Generation of strain-induced pseudo-magnetic field in a doped type-II Weyl semimetal
- Curvatronics with bilayer graphene in an effective spacetime
- Chiral sound waves in strained Weyl semimetals
- Lattice field theory with torsion
- Scale Magnetic Effect in Quantum Electrodynamics and the Wigner-Weyl Formalism
- Effective magnetic field induced by inhomogeneous Fermi velocity in strained honeycomb structures
- Chiral kinetic theory of anomalous transport induced by torsion
- Anomalous conductance scaling in strained Weyl semimetals
- Electronic properties of strained double-Weyl systems
- Tilt induced vortical response and mixed anomaly in inhomogeneous Weyl matter
- The type II Weyl semimetals at low temperatures: chiral anomaly, elastic deformations, zero sound
- Inter-node superconductivity in strained Weyl semimetals
- Phonon helicity and Nieh-Yan Anomaly in the Kramers-Weyl semimetals of Chiral Crystals
- Symmetries of Weyl Superconductors with Different Pairings
- Quantum matter and gravitation: photons in a waveguide