Effects of the Dirac cone tilt in two-dimensional Dirac semimetal

Abstract

Two-dimensional Dirac semimetal with tilted Dirac cone has recently attracted increasing interest. Tilt of Dirac cone can be realized in a number of materials, including deformed graphene, surface state of topological crystalline insulator, and certain organic compound. We study how Dirac cone tilting affects the low-energy properties by presenting a renormalization group analysis of the Coulomb interaction and quenched disorder. Random scalar potential or random vector potential along the tilting direction cannot exist on its own as it always dynamically generates a new type of disorder, which dominates at low energies and turns the system into a compressible diffusive metal. Consequently, the fermions acquire a finite disorder scattering rate. Moreover, the isolated band-touching point is replaced by a bulk Fermi arc in the Brillouin zone. These results are not qualitatively changed when the Coulomb interaction is incorporated. In comparison, random mass and random vector potential along the non-tilting direction can exist individually, without generating other types of disorder. They both suppress tilt at low energies, and do not produce bulk Fermi arc. Upon taking the Coulomb interaction into account, the system enters into a stable quantum critical state, in which the fermion field acquires a finite anomalous dimension but the dynamical exponent $z=1$. These results indicate that Dirac cone tilt does lead to some qualitatively different low-energy properties comparing to the untilted system.

arXiv comment22 pages, 9 figures, 2 tables

References in corpus (96)

• The electronic properties of graphene
• The structure of suspended graphene sheets
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Type-II Weyl Semimetals
• Anderson Transitions
• Topological Materials: Weyl Semimetals
• Renormalization Group Approach to Interacting Fermions
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Colloquium: The transport properties of graphene: An introduction
• Experimental realization of a topological crystalline insulator in SnTe
• Dirac materials
• Dirac cones reshaped by interaction effects in suspended graphene
• Topological nodal line semimetals
• Effects of Strain on Electronic Properties of Graphene
• Semimetallic Two-Dimensional Boron Allotrope with Massless Dirac Fermions
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Electron transport in disordered graphene
• Dirac fermions in borophene
• Charge Transport in Weyl Semimetals
• Marginal Fermi liquid behavior from 2d Coulomb interaction
• Discovery of Weyl fermion semimetals and topological Fermi arc states
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Topological Semimetals Predicted from First-principles Calculations
• Theory of interacting electrons on the honeycomb lattice
• Interaction phenomena in graphene seen through quantum capacitance
• Non-Fermi liquid and topological states with strong spin-orbit coupling
• Quantum critical scaling in graphene
• 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
• Coulomb interaction, ripples, and the minimal conductivity of graphene
• Many-body interactions in quasi-freestanding graphene
• Long-range Coulomb interaction in nodal-ring semimetals
• Strain-induced pseudomagnetic field in Dirac semimetal borophene
• Disorder and Electronic Transport in Graphene
• Topological Mott insulator in three-dimensional systems with quadratic band touching
• Graphene via large N I: Renormalization
• Observation of an anisotropic Dirac cone reshaping and ferrimagnetic spin polarization in an organic conductor
• Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
• Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions
• Effect of electron-hole asymmetry on optical conductivity in 8-Pmmn borophene
• Quasiparticle Dynamics in Reshaped Helical Dirac Cone of Topological Insulators
• Emergence of supersymmetry on the surface of three dimensional topological insulators
• Quantum Criticality of Topological Phase Transitions in 3D Interacting Electronic 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
• Nematic quantum criticality in three-dimensional Fermi system with quadratic band touching
• Emergent non-Fermi liquid at the quantum critical point of a topological phase transition in two dimensions
• Anisotropic plasmons, Friedel oscillations and dynamical screening in $8-Pmmn$ borophene
• Why does graphene behave as a weakly interacting system?
• Correlated double-Weyl semimetals with Coulomb interactions: possible applications to HgCr2Se4 and SrSi2
• Renormalization group approach to 2D Coulomb interacting Dirac fermions with random gauge potential
• Disorder-driven destruction of a non-Fermi liquid semimetal via renormalization group
• Pinning of a two-dimensional membrane on top of a patterned substrate: the case of graphene
• Anomalous Spin Correlations and Mass-Generating Excitonic Instability of Interacting Weyl Fermions
• Coulomb interactions at quantum Hall critical points of systems in a periodic potential
• Effective field theory, three-loop perturbative expansion, and their experimental implications in graphene many-body effects
• Phase diagram of electronic systems with quadratic Fermi nodes in $2<d<4$: $2+\epsilon$ expansion, $4-\epsilon$ expansion, and functional renormalization group
• Landau level spectroscopy of electron-electron interactions in graphene
• Global Phase Diagram of a Dirty Weyl Liquid and Emergent Superuniversality
• Correlation effects in double-Weyl semimetals
• Signature of tilted Dirac cones in Weiss oscillations of $8-Pmmn$ borophene
• Coulomb interaction effect in tilted Weyl fermion in two dimensions
• Quantum phases of interacting electrons in three-dimensional dirty Dirac semimetals
• Interplay of Coulomb interactions and disorder in three dimensional quadratic band crossings without time-reversal symmetry and with unequal masses for conduction and valence bands
• Many-body effects and ultraviolet renormalization in three-dimensional Dirac materials
• Critical exponents at the unconventional disorder-driven transition in a Weyl semimetal
• Incipient nodal pairing in planar d-wave superconductors
• Excitonic instability of three-dimensional gapless semiconductors: Large-N theory
• Interacting Dirac liquid in three-dimensional semimetals
• New quantum critical points of $j=3/2$ Dirac electrons in antiperovskite topological crystalline insulators
• The effects of weak disorders on Quantum Hall critical points
• High magnetic field theory for the local density of states in graphene with smooth arbitrary potential landscapes
• Interplay between short-range correlated disorder and Coulomb interaction in nodal-line semimetals
• Renormalization Effects on Quasi-Two-Dimensional Organic Conductor α-(BEDT-TTF)2I3
• Influence of Coulomb interaction on the anisotropic Dirac cone in graphene
• Multifractal nature of the surface local density of states in three-dimensional topological insulators with magnetic and nonmagnetic disorder
• Correlated triple-Weyl semimetals with Coulomb interactions
• Marginal Fermi liquid versus excitonic instability in 3D Dirac semimetals
• Multilogarithmic velocity renormalization in graphene
• Collective effects in tilted Weyl cones: optical conductivity, polarization, and Coulomb interactions reshaping the cone
• Anomalous dimensions of gauge-invariant amplitudes in massless effective gauge theories of strongly correlated systems
• Quantum Multicriticality in Disordered Weyl Semimetal
• Disorder in tilted Weyl semimetals from a renormalization group perspective
• Condition for the emergence of a bulk Fermi arc in disordered Dirac-fermion systems
• Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
• Correlated metallic state in honeycomb lattice: Orthogonal Dirac semimetal
• Interplay of Coulomb interaction and disorder in a two-dimensional semi-Dirac fermion system
• Anisotropic fixed points in Dirac and Weyl semimetals
• Shear Viscosity in a Non-Fermi Liquid Phase of a Quadratic Semimetal
• Competition between disorder and interaction effects in 3D Weyl semimetals
• On the renormalization of Coulomb interactions in two-dimensional tilted Dirac fermions
• Renormalization Group Approach to Stability of Two-dimensional Interacting Type-II Dirac Fermions
• Functional renormalization group approach to interacting three-dimensional Weyl semimetals

Cited by in corpus (21)

• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Optical properties of massive anisotropic tilted Dirac systems
• Nonlinear Valley Hall Effect
• Synthetic non-Abelian gauge fields and gravitomagnetic effects in tilted Dirac cone systems
• Valley-dependent time evolution of coherent electron states in tilted anisotropic Dirac materials
• Band tilt induced nonlinear Nernst effect in topological insulators: An efficient generation of high-performance spin polarization
• Emergent chiral symmetry in a three-dimensional interacting Dirac liquid
• Mapping borophene onto graphene: Quasi-exact solutions for guiding potentials in tilted Dirac cones
• Polarizability, plasmons, and screening in 1T${}^{\prime }$-MoS${}_2$ with tilted Dirac bands
• Interplay of disorder and interactions in subcritically tilted and anisotropic three-dimensional Weyl fermions
• Interplay between tilt, disorder, and Coulomb interaction in type-I Dirac fermions
• The phase diagram of a two-dimensional dirty tilted Dirac semimetal
• 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
• Magneto-thermoelectricty of anisotropic two-dimensional materials
• Tunable Fano and Dicke effects in quantum transport of double quantum dots sandwiched between topological insulators
• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder
• Quantum Criticality of Type-I and Critically Tilted Dirac Semimetals
• Transport scaling and critical tilt effects in disordered two-dimensional Dirac fermions
• Critical fates induced by the interaction competition in three-dimensional tilted Dirac semimetals