Tilted disordered Weyl semimetals

Abstract

Although Lorentz invariance forbids the presence of a term that tilts the energy-momentum relation in the Weyl Hamiltonian, a tilted dispersion is not forbidden and, in fact, generic for condensed matter realizations of Weyl semimetals. We here investigate the combined effect of such a tilted Weyl dispersion and the presence of potential disorder. In particular, we address the influence of a tilt on the disorder-induced phase transition between a quasi-ballistic phase at weak disorder, in which the disorder is an irrelevant perturbation, and a diffusive phase at strong disorder. Our main result is that the presence of a tilt leads to a reduction of the critical disorder strength for this transition or, equivalently, that increasing the tilt at fixed disorder strength drives the system through the phase transition to the diffusive strong-disorder phase. Notably this obscures the tilt induced Lifshitz transition to an over tilted type-II Weyl phase at any finite disorder strength. Our results are supported by analytical calculations using the self-consistent Born approximation and numerical calculations of the density of states and of transport properties.

8 pages, 8 figures

References in corpus (35)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Weyl Semimetal in a Topological Insulator Multilayer
• Experimental discovery of Weyl semimetal TaAs
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Experimental observation of Weyl points
• The Kernel Polynomial Method
• Quantum-limited shot noise in graphene
• Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Zitterbewegung, chirality, and minimal conductivity in graphene
• Spectroscopic evidence for type II Weyl semimetal state in MoTe2
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
• TaIrTe4 a ternary Type-II Weyl semi-metal
• Spectroscopic Evidence of Type II Weyl Semimetal State in WTe2
• Quantum transport of disordered Weyl semimetals at the nodal point
• Density of States Scaling at the Semimetal to Metal Transition in Three Dimensional Topological Insulators
• Quantum transport in Dirac materials: signatures of tilted and anisotropic Dirac and Weyl cones
• Anderson localization and the quantum phase diagram of three dimensional disordered Dirac semimetals
• Quantum transport in three-dimensional Weyl electron system
• Measuring Chern numbers above the Fermi level in the Type II Weyl semimetal Mo${}_x$W${}_{1-x}$Te${}_2$
• Critical transport in weakly disordered semiconductors and semimetals
• Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators
• Universal optical conductivity of a disordered Weyl semimetal
• Anisotropic Weyl Fermions from Quasiparticle Excitation Spectrum of a 3D Fulde-Ferrell Superfluid
• Quantum Critical Exponents for a Disordered Three-Dimensional Weyl Node
• Type-II Weyl Points in Three-Dimensional Cold Atom Optical Lattices
• Discovery of Weyl semimetal state violating Lorentz invariance in MoTe2
• On the disorder-driven quantum transition in three-dimensional relativistic metals
• Quantum phase transitions of a disordered antiferromagnetic topological insulator
• Weyl node with random vector potential
• Effects of anisotropy and disorder on the conductivity of Weyl semimetals

Cited by in corpus (29)

• Klein tunneling and electron optics in Dirac-Weyl fermion systems with tilted energy dispersion
• Triple point fermions in a minimal symmorphic model
• Circular dichroism as a probe for topology in three-dimensional semimetals
• Magnus Hall effect in three-dimensional topological semimetals
• Quantitative analytical theory for disordered nodal points [Article and Erratum]
• Thermoelectric response in nodal-point semimetals
• Synthetic non-Abelian gauge fields and gravitomagnetic effects in tilted Dirac cone systems
• Anisotropic chiral magnetic effect from tilted Weyl cones
• Global Phase Diagram of Disordered Type-II Weyl Semimetals
• Disorder in tilted Weyl semimetals from a renormalization group perspective
• Condition for the emergence of a bulk Fermi arc in disordered Dirac-fermion systems
• Strongly angle-dependent magnetoresistance in Weyl semimetals with long-range disorder
• Complete optical valley polarization in Weyl semimetals in strong magnetic fields
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• Chemical-Strain Induced Tilted Dirac Nodes in (BEDT-TTF)${}_2$X${}_3$ (X = I, Cl, Br, F) Based Charge-Transfer Salts
• Strong disorder in nodal semimetals: Schwinger-Dyson--Ward approach
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Topological diffusive metal in amorphous transition metal monosilicides
• Exact diagonalization of cubic lattice models in commensurate Abelian magnetic fluxes and translational invariant non-Abelian potentials
• Interplay between tilt, disorder, and Coulomb interaction in type-I Dirac fermions
• Disorder-induced phase transitions in double Weyl semimetals
• Magnetovortical and thermoelectric transport in tilted Weyl metals
• Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry
• Anisotropic conductivity for the type-I and type-II phases of Weyl/multi-Weyl semimetals in planar Hall set-ups
• Yukawa-Lorentz Symmetry of Tilted Non-Hermitian Dirac Semimetals at Quantum Criticality
• Tunable optical bistability of two-dimensional tilted Dirac system
• Exploiting the violation of Lorentz symmetry for the planar Hall effect
• Disorder correction to the minimal conductance of a nodal-point semimetal
• Electron transport in a weakly disordered Weyl semimetal