Quantum Multicriticality in Disordered Weyl Semimetal

Abstract

In electronic band structure of solid state material, two band touching points with linear dispersion appear in pair in the momentum space. When they annihilate with each other, the system undergoes a quantum phase transition from three-dimensional Weyl semimetal (WSM) phase to a band insulator phase such as Chern band insulator (CI) phase. The phase transition is described by a new critical theory with a `magnetic dipole' like object in the momentum space. In this paper, we reveal that the critical theory hosts a novel disorder-driven quantum multicritical point, which is encompassed by three quantum phases, renormalized WSM phase, CI phase, and diffusive metal (DM) phase. Based on the renormalization group argument, we first clarify scaling properties around the band touching points at the quantum multicritical point as well as all phase boundaries among these three phases. Based on numerical calculations of localization length, density of states and critical conductance distribution, we next prove that a localization-delocalization transition between the CI phase with a finite zero-energy density of states (zDOS) and DM phase belongs to an ordinary 3D unitary class. Meanwhile, a localization-delocalization transition between the Chern insulator phase with zero zDOS and a renormalized Weyl semimetal (WSM) phase turns out to be a direct phase transition whose critical exponent $\nu =0.80\pm 0.01$. We interpret these numerical results by a renormalization group analysis on the critical theory.

23 pages with 14 figures and 4 tables

References in corpus (39)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Weyl Semimetal in a Topological Insulator Multilayer
• Anderson Transitions
• Experimental discovery of Weyl semimetal TaAs
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• The Kernel Polynomial Method
• Electromagnetic Response of Weyl Semimetals
• Corrections to scaling at the Anderson transition
• Quantum criticality between topological and band insulators in $(3+1)$-dimensions
• 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
• The Anderson transition: time reversal symmetry and universality
• Critical exponent for the Anderson transition in the three dimensional orthogonal universality class
• First-Principles Study of Electronic Structure in $\alpha$-(BEDT-TTF)${}_2$I${}_3$ at Ambient Pressure and with Uniaxial Strain
• Quantum transport in three-dimensional Weyl electron system
• Anderson localization and the quantum phase diagram of three dimensional disordered Dirac semimetals
• Disordered weak and strong topological insulators
• Critical transport in weakly disordered semiconductors and semimetals
• Dirty Weyl semimetals: Stability, phase transition and quantum criticality
• Effect of Disorder in a Three-Dimensional Layered Chern Insulator
• Rare region induced avoided quantum criticality in disordered three-dimensional Dirac and Weyl semimetals
• Phase diagrams of disordered Weyl semimetals
• Disorder effect on 3-dimensional $Z_2$ quantum spin Hall systems
• Diffusive Quantum Criticality in Three Dimensional Disordered Dirac Semimetals
• Unconventional localisation transition in high dimensions
• Quantum Critical Exponents for a Disordered Three-Dimensional Weyl Node
• Disorder-induced metal-insulator transitions in three-dimensional topological insulators and superconductors
• Critical exponents at the unconventional disorder-driven transition in a Weyl semimetal
• Topology dependent quantities at the Anderson transition
• Note on "Diffusive quantum criticality in three-dimensional disordered Dirac semimetals"
• Anderson transitions in three-dimensional disordered systems with randomly varying magnetic flux
• Estimate of the critical exponent of the Anderson transition in the three and four dimensional unitary universality classes
• A Generic Phase between Disordered Weyl Semimetal and Diffusive Metal

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• Critical Behaviors of Anderson Transitions in Three Dimensional Orthogonal Classes with Particle-hole Symmetries
• Multicriticality of Two-dimensional Class D Disordered Topological Superconductors
• Topological diffusive metal in amorphous transition metal monosilicides
• Universality classes of the Anderson transitions driven by quasiperiodic potential in the three-dimensional Wigner-Dyson symmetry classes
• Unconventional scaling theory in disorder-driven quantum phase transition
• Renormalization group analysis of Dirac fermions with random mass
• Nuclear spin relaxation rate near the disorder-driven quantum critical point in Weyl fermion systems
• Direct topological insulator transitions in three dimensions are destabilized by non-perturbative effects of disorder
• Interactions-disorder duality and critical phenomena in nodal semimetals, dilute gases and other systems
• Axionic quantum criticality of generalized Weyl semimetals
• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder