Rotational strain in Weyl semimetals: A continuum approach

Abstract

The coupling of lattice deformations to the low energy electronic excitations of Dirac matter involve novel types of electron--phonon couplings as the celebrated elastic gauge fields first analyzed in graphene. In the continuum low energy approach, lattice deformations coupling to the electronic degrees of freedom are characterized by the (symmetric) strain tensor defined in elasticity theory. We review these couplings in Weyl semimetals and examine the coupling of electronic excitations to the antisymmetric part of the deformation gradient tensor associated to rotational strain. The new couplings, absent in the two dimensional materials, have important physical implications: they give rise to new elastic gauge fields, contribute to the deformation potential, tilt the cones and generate new pseudo--Zeeman couplings.

arXiv commentSubstantial changes in the presentation of the results

References in corpus (30)

• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Experimental discovery of Weyl semimetal TaAs
• Observation of the chiral magnetic effect in ZrTe5
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Giant negative magnetoresistance induced by the chiral anomaly in individual Cd3As2 nanowires
• Dirac vs. Weyl in topological insulators: Adler-Bell-Jackiw anomaly in transport phenomena
• Chiral gauge field and axial anomaly in a Weyl semi-metal
• Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
• Symmetry-protected ideal Weyl semimetal in HgTe-class materials
• Elastic Gauge Fields in Weyl Semimetals
• Chiral anomaly from strain-induced gauge fields in Dirac and Weyl semimetals
• Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
• A condensed matter realization of the axial magnetic effect
• Strain induced Chiral Magnetic Effect in Weyl semimetals
• Topological Invariants of Metals and Related Physical Effects
• Generalized effective hamiltonian for graphene under non-uniform strain
• Topological responses from chiral anomaly in multi-Weyl semimetals
• Viscoelastic response of topological tight-binding models in two and three dimensions
• Quantum oscillations without magnetic field
• Engineering Weyl nodes in Dirac semimetals by a magnetic field
• Collapse of Landau levels in Weyl semimetals
• Topological electric current from time-dependent elastic deformations in graphene
• Lorentz and CPT violation in QED revisited: A missing analysis
• Emergent gravity in the cubic tight-binding model of Weyl semimetal in the presence of elastic deformations
• Pseudomagnetic helicons
• Pseudomagnetic lens as a valley and chirality splitter in Dirac and Weyl materials
• Chiral response in lattice models of Weyl materials
• Strain-induced pseudomagnetic and scalar fields in symmetry-enforced Dirac nodes

Cited by in corpus (43)

• Pseudo-electromagnetic fields in topological semimetals
• Dirac Fermions in Antiferromagnetic FeSn Kagome Lattices with Combined Space Inversion and Time Reversal Symmetry
• Thermal transport, geometry, and anomalies
• Magnetic textures and dynamics in magnetic Weyl semimetals
• Nonlinear Hall effect in Weyl semimetals induced by chiral anomaly
• Mixed axial-torsional anomaly in Weyl semimetals
• Hall viscosity in quantum systems with discrete symmetry: point group and lattice anisotropy
• Landau levels, Bardeen polynomials and Fermi arcs in Weyl semimetals: the who's who of the chiral anomaly
• Quantum Hall response to time-dependent strain gradients in graphene
• Quantum oscillations in acoustic phonons in Weyl semimetals
• Generation of strain-induced pseudo-magnetic field in a doped type-II Weyl semimetal
• Thermoelectric response in nodal-point semimetals
• Chiral sound waves in strained Weyl semimetals
• Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
• Viscoelastic response of quantum Hall fluids in a tilted field
• Surface plasmon polaritons in strained Weyl semimetals
• Phonon-limited Transport and Fermi Arc Lifetime in Weyl Semimetals
• Electric, thermal, and thermoelectric magnetoconductivity for Weyl/multi-Weyl semimetals in planar Hall set-ups induced by the combined effects of topology and strain
• Effective magnetic field induced by inhomogeneous Fermi velocity in strained honeycomb structures
• Horizon physics of quasi-one-dimensional tilted Weyl cones on a lattice
• Thermoelectric transport in torsional strained Weyl semimetals
• Cubic Hall viscosity in three-dimensional topological semimetals
• Black hole mirages: electron lensing and Berry curvature effects in inhomogeneously tilted Weyl semimetals
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Anisotropic optics and gravitational lensing of tilted Weyl fermions
• Tilt induced vortical response and mixed anomaly in inhomogeneous Weyl matter
• Electronic properties of strained double-Weyl systems
• Pseudo-gauge Fields in Dirac and Weyl Materials
• Inter-node superconductivity in strained Weyl semimetals
• The type II Weyl semimetals at low temperatures: chiral anomaly, elastic deformations, zero sound
• A Spin Field Effect Transistor Based on a Strained Two Dimensional Layer of a Weyl Semimetal
• Non-Abelian bosonization in a (3+1)-d Kondo semimetal via quantum anomalies
• Chiral anomaly-induced nonlinear Hall effect in spin-orbit coupled noncentrosymmetric metals
• Detect Axial Gauge Fields with a Calorimeter
• Helical superconducting edge modes from pseudo-Landau levels in graphene
• Many-body fermionic excitations in Weyl semimetals due to elastic gauge fields
• Axionic Acoustic Phonons from Weyl Semimetals
• Probing magneto-elastic phenomena through an effective spin-bath coupling model
• Symmetries of Weyl Superconductors with Different Pairings
• Topological transverse spin transport in a canted antiferromagnet/heavy metal heterostructure
• Thermo-magneto-electric transport through a torsion dislocation in a type I Weyl Semimetal
• Interplay of Tilt and Axion Fields in Topological Superconductors: Anisotropy in the Meissner Effect
• Quantum dynamics in 1D lattice models with synthetic horizons