Interaction-induced criticality in Z_2 topological insulators

Abstract

Critical phenomena and quantum phase transitions are paradigmatic concepts in modern condensed matter physics. A central example in the field of mesoscopic physics is the localization-delocalization (metal-insulator) quantum phase transition driven by disorder -- the Anderson transition. Although the notion of localization has appeared half a century ago, this field is still full of surprising new developments. The most recent arenas where novel peculiar localization phenomena have been studied are graphene and topological insulators, i.e., bulk insulators with delocalized (topologically protected) states on their surface. Besides exciting physical properties, the topological protection renders such systems promising candidates for a variety of prospective electronic and spintronic devices. It is thus of crucial importance to understand properties of boundary metallic modes in the realistic systems when both disorder and interaction are present. Here we find a novel critical state which emerges in the bulk of two-dimensional quantum spin Hall (QSH) systems and on the surface of three-dimensional topological insulators with strong spin-orbit interaction due to the interplay of nontrivial Z_2 topology and the Coulomb repulsion. At low temperatures, this state possesses a universal value of electrical conductivity. In particular, we predict that the direct QSH phase transition occurs via this novel state. Remarkably, the interaction-induced critical state emerges on the surface of a three-dimensional topological insulator without any adjustable parameters. This ``self-organized quantum criticality'' is a novel concept in the field of interacting disordered systems.

7 pages, 3 figures

References in corpus (24)

• The electronic properties of graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Anderson Transitions
• First observation of Spin-Momentum Helical Locking in Bi2Se3 and Bi2Te3, demonstration of Topological-Order at 300K and a realization of topological-transport-regime
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Nonlocal edge state transport in the quantum spin Hall state
• The Quantum Spin Hall Effect: Theory and Experiment
• On the stability of U(1) spin liquids in two dimensions
• Topological delocalization of two-dimensional massless Dirac fermions
• Tuning phase transition between quantum spin Hall and ordinary insulating phases
• Quantum criticality and minimal conductivity in graphene with long-range disorder
• Z2 topological term, the global anomaly, and the two-dimensional symplectic symmetry class of Anderson localization
• Two-dimensional spin-filtered chiral network model for the Z_2 quantum spin-Hall effect
• Conductivity of disordered graphene at half filling
• Many-body generalization of the Z2 topological invariant for the quantum spin Hall effect
• The Z_2 network model for the quantum spin Hall effect: two-dimensional Dirac fermions, topological quantum numbers, and corner multifractality

Cited by in corpus (104)

• Topological insulators and superconductors
• Classification of topological quantum matter with symmetries
• New directions in the pursuit of Majorana fermions in solid state systems
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
• Topological Insulators and Mott Physics from the Hubbard Interaction
• Majorana Fermions in Proximity-coupled Topological Insulator Nanowires
• Electron interaction-driven insulating ground state in Bi2Se3 topological insulators in the two dimensional limit
• Tunable Surface Conductivity in Bi2Se3 Revealed in Diffusive Electron Transport
• Quantum criticality between topological and band insulators in $(3+1)$-dimensions
• Aharonov-Bohm oscillations in disordered topological insulator nanowires
• Two-dimensional surface charge transport in topological insulators
• Quantum interference and Aharonov-Bohm oscillations in topological insulators
• Anomalous Aharonov-Bohm conductance oscillations from topological insulator surface states
• Topology, Delocalization via Average Symmetry and the Symplectic Anderson Transition
• Transport in three-dimensional topological insulators: theory and experiment
• Transport in disordered two-dimensional topological insulator
• Magnetic field induced helical mode and topological transitions in a quasi-ballistic topological insulator nanoribbon with circumferentially quantized surface state sub-bands
• Anomalous Josephson current via Majorana bound states in topological insulators
• Stability of Majorana Fermions in Proximity-Coupled Topological Insulator Nanowires
• Observation of Anderson localization in ultrathin films of three-dimensional topological insulators
• Weyl and Dirac semimetals with Z_2 topological charge
• Helical Luttinger liquid in topological insulator nanowires
• Spin-helical transport in normal and superconducting topological insulators
• The fate of topological-insulator surface states under strong disorder
• Topological protection, disorder, and interactions: Survival at the surface of 3D topological superconductors
• Probing Spin Helical Surface States in Topological HgTe Nanowires
• Vortex Lines in Topological Insulator-Superconductor Heterostructures
• Demonstration of surface transport in a hybrid Bi2Se3/Bi2Te3 heterostructure
• Parallel field magnetoresistance in topological insulator thin films
• Superconductivity of disordered Dirac fermions
• Majorana qubits in topological insulator nanoribbon architecture
• Spherical topological insulator
• Helical fluctuations in the Raman response of the topological insulator Bi2Se3
• Enhanced electron dephasing in three-dimensional topological insulators
• Continuous and discontinuous topological quantum phase transitions
• Finite-size energy gap in weak and strong topological insulators
• Superconductor-insulator transitions: Phase diagram and magnetoresistance
• Topological order in a correlated three-dimensional topological insulator
• Defect induced negative magnetoresistance and surface state immunity in topological insulator BiSbTeSe2
• Disorder enabled band structure engineering of a topological insulator surface
• Interaction-mediated surface state instability in disordered three-dimensional topological superconductors with spin SU(2) symmetry
• Wave function multifractality and dephasing at metal-insulator and quantum Hall transitions
• Pseudo-ballistic transport in 3D topological insulator quantum wires
• Spin Berry phase in anisotropic topological insulators
• Majorana bound states in topological insulators without a vortex
• Majorana state on the surface of a disordered 3D topological insulator
• Interactions enable Thouless pumping in a nonsliding lattice
• Quantum Hall effect in a singly and doubly connected 3D topological insulator
• Detecting Perfect Transmission in Josephson Junctions on the Surface of Three Dimensional Topological Insulators
• Tunable interaction-induced localization of surface electrons in antidot nanostructured Bi2Te3 thin films
• Conditions for fully gapped topological superconductivity in topological insulator nanowires
• Spin Berry phase in the Fermi arc states
• Towards the manipulation of topological states of matter: A perspective from electron transport
• Interaction and disorder effects in 3D topological insulator thin films
• Interplay of interactions, disorder and topology in the Haldane-Hubbard model
• Symmetries and weak (anti)localization of Dirac fermions in HgTe quantum wells
• Magnetotransport signatures of three-dimensional topological insulator nanostructures
• Multifractality and electron-electron interaction at Anderson transitions
• Nonlinear transport of ballistic Dirac electrons tunneling through a tunable potential barrier in graphene
• Magnetoconductance, Quantum Hall Effect, and Coulomb Blockade in Topological Insulator Nanocones
• Transition between ordinary and topological insulator regimes in two-dimensional resonant magnetotransport
• Surface transport coefficients for three-dimensional topological superconductors
• Disorder and interaction in chiral chains: Majoranas vs complex fermions
• Aharonov Bohm effect in 2D topological insulator
• Suppression of scattering in quantum confined 2D-helical Dirac systems
• Interaction-enhanced integer quantum Hall effect in disordered systems
• Quantum Interference of Hydrodynamic Modes in a Dirty Marginal Fermi Liquid
• Conductance fluctuations and disorder induced $\nu =0$ quantum Hall plateau in topological insulator nanowires
• Robust and fragile Majorana bound states in proximitized topological insulator nanoribbons
• Coulomb drag between helical Luttinger liquids
• Quantum corrections to the magnetoconductivity of surface states in three-dimensional topological insulators
• Interference-induced magnetoresistance in HgTe quantum wells
• Crossed Andreev reflection in topological insulator nanowire T-junctions
• Weyl Semimetal from the Honeycomb Array of Topological Insulator Nanowires
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Coulomb drag in topological insulator films
• Protection of the surface states in topological insulators: Berry phase perspective
• Phase diagram and phonon-induced backscattering in topological insulator nanowires
• THz Photodetector using sideband-modulated transport through surface states of a 3D Topological Insulator
• Theory of magnetotransport in shaped topological insulator nanowires
• Coulomb drag in topological materials
• Transport in topological insulator nanowires
• Mueller matrix spectroscopy of Fano resonance in Plasmonic Oligomers
• Polymer models with competing collapse interactions on Husimi and Bethe lattices
• Quantum interference in HgTe structures
• Bulk effects on topological conduction on the surface of 3-D topological insulators
• Manipulating quantum channels in weak topological insulator nanoarchitectures
• Trigonal warping, pseudodiffusive transport, and finite-system version of the Lifshitz transition in magnetoconductance of bilayer-graphene Corbino disks
• Quantized thermal and spin transports of dirty planar topological superconductors
• Precise determination of critical points of topological phase transitions via shift current in two-dimensional inversion asymmetric insulators
• Minimal conductivity and signatures of quantum criticality in ballistic graphene bilayer
• Disorder-induced density of states on the surface of a spherical topological insulator
• Aharonov-Bohm oscillations caused by non-topological surface states in Dirac nanowires
• Engineering Dirac electrons emergent on the surface of a topological insulator
• Diffusion at the Surface of Topological Insulators
• Seeing Quantum Fractals
• Nonstandard transition GUE-GOE for random matrices and spectral statistics of graphene nanoflakes
• Anisotropic transport properties in prismatic topological insulator nanowires
• Aharanov-Bohm oscillations and perfectly transmitted mode in amorphous topological insulator nanowires
• Electronic confinement of surface states in a topological insulator nanowire
• Electromagnetic response of the surface states of a topological insulator nanowire embedded within a resonator