Disorder effects on triple-point fermions

Abstract

The stability of three-dimensional relativistic semimetals to disorder has recently attracted great attention, but the effect of disorder remains elusive for multifold fermions, that are not present in the framework of quantum field theory. In this paper, we investigate one type of multifold fermions, so-called triple-point fermions (TPFs), which have pseudospin-1 degrees of freedom and topological charges $\pm 2$. Specifically, we consider the effect of disorder on a minimal, three-band tight-binding model, which realizes the minimal number of two TPFs. The numerically-obtained, disorder-averaged density of states suggests that, within a finite energy window, the TPFs are robust up to a critical strength of disorder. In the strong disorder regime, the inter-TPF scattering is the main mechanism for destroying a single TPF. Moreover, we study the effects of disorder on the distribution of Fermi arcs and surface Berry curvature. We demonstrate that the Fermi arc retains its sharpness at weak disorder, but gradually dissolves into the metallic bulk for stronger disorder. In clean limit, the surface Berry curvature exhibits a bipolar configuration in the surface Brillouin zone. With increasing disorder, the positive and negative surface Berry curvature start to merge at the nearby momenta where the Fermi arcs penetrate into bulk.

arXiv comment5+3 pages, 8 figures

References in corpus (42)

• The electronic properties of graphene
• Topological insulators and superconductors
• Many-Body Physics with Ultracold Gases
• Berry Phase Effects on Electronic Properties
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Weyl Semimetal in a Topological Insulator Multilayer
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• The Kernel Polynomial Method
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Experimental reconstruction of the Berry curvature in a topological Bloch band
• Multiple types of topological fermions in transition metal silicides
• Electronic Transport and quantum oscillation of Topological Semimetals
• Weyl, Dirac and high-fold chiral fermions in topological quantum materials
• Topological Berry phase and semiclassical quantization of cyclotron orbits for two dimensional electrons in coupled band models
• Berry curvature dipole current in transition metal dichalcogenides family
• 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
• Disorder and metal-insulator transitions in Weyl semimetals
• Rare region effects dominate weakly disordered 3D Dirac points
• Dirty Weyl fermions: rare region effects near 3D Dirac points
• Weyl fermions and the anomalous Hall effect in metallic ferromagnets
• Topological currents in black phosphorus with broken inversion symmetry
• Dirty Weyl semimetals: Stability, phase transition and quantum criticality
• Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides
• Dissolution of topological Fermi arcs in a dirty Weyl semimetal
• Topological Weyl Superconductor to Diffusive Thermal Hall Metal Crossover in the B-Phase of UPt${}_3$
• Triple point fermions in a minimal symmorphic model
• Uncovering the hidden quantum critical point in disordered massless Dirac and Weyl semi-metals
• Do the surface Fermi arcs in Weyl semimetals survive disorder?
• Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
• Geometrically protected triple-point crossings in an optical lattice
• From weak to strong disorder in Weyl semimetals: Self-consistent Born approximation
• Generalized Triple-Component Fermions: Lattice Model, Fermi arcs, and Anomalous Transport
• Infinite Berry Curvature of Weyl Fermi Arcs
• Disordered double Weyl node
• Disordered double Weyl node: Comparison of transport and density-of-states calculations
• Avoided quantum criticality in exact numerical simulations of a single disordered Weyl cone
• Breakdown of universality in three-dimensional Dirac semimetals with random impurities
• Disorder effect on chiral edge modes and anomalous Hall conductance in Weyl semimetals
• Berry curvature induced anisotropic magnetotransport in a quadratic triple-component fermionic system
• Nodal vacancy bound states and resonances in three-dimensional Weyl semimetals

Cited by in corpus (6)

• Nonlinear photoconductivities and quantum geometry of chiral multifold fermions
• Topological diffusive metal in amorphous transition metal monosilicides
• Quantum transport of a spin-1 chiral fermion
• Electrical conductivity and screening effect of spin-1 chiral fermions scattered by charged impurities
• Band Curvature Effects on Quantum Transport of Spin-1 Chiral Fermion Systems
• Surface states and finite size effects in triple-fold semimetals