Condition for the emergence of a bulk Fermi arc in disordered Dirac-fermion systems

Abstract

We present a renormalization group analysis of the disorder effects on the low-energy behaviors of twodimensional tilted Dirac-fermion systems, in which the fermions have two distinct orbitals unrelated by any symmetry. Four types of disordered potential, two interorbital and two intraorbital, are considered. If there is only one type of interorbital disorder, the fermion-disorder scattering induces logarithmic or power-law corrections to the fermion density of states and specific heat. In contrast, the intraorbital disorder can turn the system into a strongly disordered phase. In this disordered phase, calculations based on self-consistent Born approximation reveal that the Dirac point is destroyed and replaced by a bulk Fermi arc. We also study the interplay of four types of disorder, and find that the Dirac point can either remain intact or give place to a Fermi arc. We obtain the condition for the emergence of a Fermi arc in this case. Our results indicate that disorders can result in rich low-energy properties of tilted Dirac fermions.

arXiv comment9+9 pages,7 figures,published version

References in corpus (88)

• Type-II Weyl Semimetals
• The physics of exceptional points
• Renormalization Group Approach to Interacting Fermions
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Topological Band Theory for Non-Hermitian Hamiltonians
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Experimental realization of a topological crystalline insulator in SnTe
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Prediction of the Weyl semimetal in the orthorhombic MoTe2
• Spectroscopic evidence for type II Weyl semimetal state in MoTe2
• Electron transport in disordered graphene
• Lorentz-violating type-II Dirac fermions in transition metal dichalcogenide PtTe${}_2$
• Marginal Fermi liquid behavior from 2d Coulomb interaction
• 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
• Merging of Dirac points in a two-dimensional crystal
• Singular Fermi Liquids
• Experimental Realization of Type-II Dirac Fermions in PdTe${}_2$ Superconductor
• Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
• Predicted Unusual Magnetoresponse in Type-II Weyl Semimetals
• Half-metallic semiDirac point generated by quantum confinement in TiO${}_2$/VO${}_2$ nanostructures
• A new magnetic field dependence of Landau levels on a graphene like structure
• Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
• TaIrTe4 a ternary Type-II Weyl semi-metal
• Experimental evidence of type-II Dirac fermions in PtSe2
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Quantum criticality between topological and band insulators in $(3+1)$-dimensions
• Tight-binding modeling and low-energy behavior of the semi-Dirac point
• Coulomb interaction, ripples, and the minimal conductivity of graphene
• Spectroscopic Evidence of Type II Weyl Semimetal State in WTe2
• A universal Hamiltonian for the motion and the merging of Dirac cones in a two-dimensional crystal
• Magnetic breakdown and Klein tunneling in a type-II Weyl semimetal
• Robust Type-II Weyl Semimetal Phase in Transition Metal Diphosphides XP${}_2$ (X = Mo, W)
• Flat Band in Disorder Driven Non-Hermitian Weyl Semimetals
• Quantum transport of disordered Weyl semimetals at the nodal point
• Field-Selective Anomaly and Chiral Mode Reversal in Type-II Weyl Materials
• Magnetic-field-induced relativistic properties in type-I and type-II Weyl semimetals
• Density of States Scaling at the Semimetal to Metal Transition in Three Dimensional Topological Insulators
• Intrinsic Anomalous Hall Effect in Type-II Weyl Semimetals
• Rare region effects dominate weakly disordered 3D Dirac points
• Dirty Weyl fermions: rare region effects near 3D Dirac points
• Theories of Low-Energy Quasi-Particle States in Disordered d-Wave Superconductors
• Anderson localization and the quantum phase diagram of three dimensional disordered Dirac semimetals
• Quantum transport in three-dimensional Weyl electron system
• Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
• Critical transport in weakly disordered semiconductors and semimetals
• Renormalization group theory of nematic ordering in d-wave superconductors
• Rare region induced avoided quantum criticality in disordered three-dimensional Dirac and Weyl semimetals
• Mapping the unconventional orbital texture in topological crystalline insulators
• Anomalous Nernst and Thermal Hall Effects in Tilted Weyl Semimetals
• Disorder effect on 3-dimensional $Z_2$ quantum spin Hall systems
• Disorder and interaction effects in two dimensional graphene sheets
• Anomalous thermodynamics of Coulomb interacting massless Dirac fermions in two spatial dimensions
• Diffusive Quantum Criticality in Three Dimensional Disordered Dirac Semimetals
• Unconventional localisation transition in high dimensions
• Anomalous Hall Effect in type-I Weyl metals
• Topological protection, disorder, and interactions: Survival at the surface of 3D topological superconductors
• Renormalization group approach to 2D Coulomb interacting Dirac fermions with random gauge potential
• Universal optical conductivity of a disordered Weyl semimetal
• Coulomb interaction effect in tilted Weyl fermion in two dimensions
• Disorder driven itinerant quantum criticality of three dimensional massless Dirac fermions
• Type-II Weyl Points in Three-Dimensional Cold Atom Optical Lattices
• Massless Dirac Fermions, Gauge Fields, and Underdoped Cuprates
• Experimental observables near a nematic quantum critical point in the pnictide and cuprate superconductors
• Uncovering the hidden quantum critical point in disordered massless Dirac and Weyl semi-metals
• Single particle excitations in disordered Weyl fluids
• Longitudinal conductivity of massless fermions with tilted Dirac cone in magnetic field
• Absence of dynamical gap generation in suspended graphene
• Heavy Weyl fermion state in CeRu${}_4$Sn${}_6$
• Velocity renormalization and anomalous quasiparticle dispersion in extrinsic graphene
• Tilted disordered Weyl semimetals
• Anomalous Nernst effect in type-II Weyl semimetals
• Disorder Induced Phase Transitions of Type-II Weyl Semimetal
• Renormalization Effects on Quasi-Two-Dimensional Organic Conductor α-(BEDT-TTF)2I3
• Multifractal nature of the surface local density of states in three-dimensional topological insulators with magnetic and nonmagnetic disorder
• Suppression of superconductivity at nematic critical point in underdoped cuprates
• Electronic properties of disordered Weyl semimetals at charge neutrality
• The theory of avoided criticality in quantum motion in a random potential in high dimensions
• Two dimensional Dirac fermions in the presence of long-range correlated disorder
• Anomalous Scaling of the Penetration Depth in Nodal Superconductors
• Global Phase Diagram of Disordered Type-II Weyl Semimetals
• Disorder in tilted Weyl semimetals from a renormalization group perspective
• Conductance and its universal fluctuations in the directed network model at the crossover to the quasi-one-dimensional regime
• Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
• Superconductivity in two-dimensional disordered Dirac semimetals
• On the renormalization of Coulomb interactions in two-dimensional tilted Dirac fermions
• Unconventional behavior of Dirac fermions in three-dimensional gauge theory
• Renormalization Group Approach to Stability of Two-dimensional Interacting Type-II Dirac Fermions

Cited by in corpus (13)

• Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
• Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
• Probing Complex-energy Topology via Non-Hermitian Absorption Spectroscopy in a Trapped Ion Simulator
• Disorder-induced exceptional points and nodal lines in Dirac superconductors
• Non-Hermitian Absorption Spectroscopy
• Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
• Renormalization of the band gap in 2D materials through the competition between electromagnetic and four-fermion interactions
• Tilted Dirac cone effects and chiral symmetry breaking in a planar four-fermion model
• Interplay between tilt, disorder, and Coulomb interaction in type-I Dirac fermions
• Influence of the four-fermion interactions in (2+1)D massive electrons system
• First order phase transitions within Weyl type of materials at low temperatures
• Renormalization of the optical band gap through an effective Thirring interaction for massive Dirac-like electrons
• Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems