The phase diagram of a two-dimensional dirty tilted Dirac semimetal

Abstract

We investigate the effects of quenched disorder on a non-interacting tilted Dirac semimetal in two dimensions. Depending on the magnitude of the tilting parameter, the system can have either Fermi points (type-I) or Fermi lines (type-II). In general, there are three different types of disorders for Dirac fermions in two dimensions, namely, the random scalar potential, the random vector potentials along and perpendicular to the tilting direction, and the random mass. We study the effects of weak disorder in terms of the renormalization group, which is performed by integrating out the modes with large energies, instead of large momenta. Since the parametrization of the low-energy degrees of freedom depends on the structure of the Fermi surface, the resulting one-loop renormalization-group equations depend on the type of tilted Dirac fermions. Whenever the disorder is a marginal perturbation, we examine its role on low-energy physics by a mean-field approximation of the replica field theory or the first-order Born approximation. Based on our analysis, we suggest the phase diagrams of a two-dimensional tilted Dirac fermion in the presence of different types of disorder.

arXiv comment17 pages, 11 figures

References in corpus (30)

• The electronic properties of graphene
• Topological Insulators
• Topological insulators and superconductors
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Experimental discovery of Weyl semimetal TaAs
• Renormalization Group Approach to Interacting Fermions
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP
• Observation of Weyl nodes in TaAs
• Colloquium: The transport properties of graphene: An introduction
• Dirac materials
• Discovery of a Weyl Fermion semimetal state in NbAs
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Lorentz-violating type-II Dirac fermions in transition metal dichalcogenide PtTe${}_2$
• Pressure-Induced Zero-Gap Semiconducting State in Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$ Salt
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Demonstration of one-parameter scaling at the Dirac point in graphene
• Observation of Weyl nodes and Fermi arcs in TaP
• Experimental Realization of Type-II Dirac Fermions in PdTe${}_2$ Superconductor
• Topological delocalization of two-dimensional massless Dirac fermions
• Nontrivial Berry phase and type II Dirac transport in layered material PdTe2
• Quantum criticality and minimal conductivity in graphene with long-range disorder
• Disorder and Electronic Transport in Graphene
• Nodal Arc in Disordered Dirac Fermions: Connection to Non-Hermitian Band Theory
• Z2 topological term, the global anomaly, and the two-dimensional symplectic symmetry class of Anderson localization
• High magnetic field theory for the local density of states in graphene with smooth arbitrary potential landscapes
• Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
• Disorder in tilted Weyl semimetals from a renormalization group perspective
• On the renormalization of Coulomb interactions in two-dimensional tilted Dirac fermions

Cited by in corpus (5)

• Renormalization group analysis of Dirac fermions with random mass
• Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry
• Yukawa-Lorentz Symmetry of Tilted Non-Hermitian Dirac Semimetals at Quantum Criticality
• Singular low-energy states of tilted Dirac semimetals induced by the fermion-fermion interactions
• Critical fates induced by the interaction competition in three-dimensional tilted Dirac semimetals