Field-induced Kosterlitz-Thouless transition in the N=0 Landau level of graphene

Abstract

At the charge neutral point, graphene exhibits a very unusual high resistance metallic state and a transition to a complete insulating phase in a strong magnetic field. We propose that the current carriers in this state are the charged vortices of the XY valley pseudospin order-parameter, a situation which is dual to a conventional thin superconducting film. We study energetics and the stability of this phase in the presence of disorder.

5 pages, 2 figures

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Cited by in corpus (78)

• Electronic transport in two dimensional graphene
• Electronic Properties of Graphene in a Strong Magnetic Field
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Spin and valley quantum Hall ferromagnetism in graphene
• Tunable symmetry breaking and helical edge transport in a graphene quantum spin Hall state
• Phase diagram for the $\nu =0$ quantum Hall state in monolayer graphene
• Charged Skyrmions and Topological Origin of Superconductivity in Magic Angle Graphene
• Visualizing Broken Symmetry and Topological Defects in a Quantum Hall Ferromagnet
• Even denominator fractional quantum Hall states at an isospin transition in monolayer graphene
• Experimental evidence of chiral symmetry breaking in Kekulé-ordered graphene
• Canted antiferromagnetic phase of the $\nu =0$ quantum Hall state in bilayer graphene
• Theory of the Magnetic-Field-Induced Insulator in Neutral Graphene
• Quantum Hall Effects in Graphene-Based Two-Dimensional Electron Systems
• Magnetoresistance measurements of Graphene at the Charge Neutrality Point
• Imaging tunable quantum Hall broken-symmetry orders in graphene
• Monte-Carlo study of the electron transport properties of monolayer graphene within the tight-binding model
• STM Study of Quantum Hall Isospin Ferromagnetic States of Zero Landau Level in Graphene Monolayer
• Metal to insulator transition on the N = 0 Landau level in graphene
• Edge excitations of the canted antiferromagnetic phase of the $\nu =0$ quantum Hall state in graphene: a simplified analysis
• Deconfined fractional electric charges in graphene at high magnetic fields
• Splitting of the Zero-Energy Landau Level and Universal Dissipative Conductivity at Critical Points in Disordered Graphene
• SO(5) symmetry in the quantum Hall effect in graphene
• Gauge-field-assisted Kekulé quantum criticality
• Experimental determination of the energy per particle in partially filled Landau levels
• Isospin of topological defects in Dirac systems
• Spectroscopy of Twisted Bilayer Graphene Correlated Insulators
• Multi-critical behavior of $Z_2\times O(2)$ Gross-Neveu-Yukawa theory in graphene
• Spin Superfluidity in the $\nu =0$ Quantum Hall State of Graphene
• Gate-Defined Graphene Quantum Point Contact in the Quantum Hall Regime
• Twistronics in graphene-based van der Waals structures
• Triggering a global density wave instability in graphene via local symmetry-breaking
• Instabilities on graphene's honeycomb lattice with electron-phonon interactions
• Strong-Magnetic-Field Magnon Transport in Monolayer Graphene
• Spin-valley skyrmions in graphene at filling factor $\nu =-1$
• Skyrmion zoo in graphene at charge neutrality in a strong magnetic field
• SU(4) Skyrmions in the $\nu =\pm 1$ Quantum Hall State of Graphene
• Emergent correlated phases in rhombohedral trilayer graphene induced by proximity spin-orbit and exchange coupling
• Edge structure of graphene monolayers in the ν = 0 quantum Hall state
• Accurate Measurement of the Gap of Graphene/hBN Moiré Superlattice through Photocurrent Spectroscopy
• The quantum Hall effect in graphene - a theoretical perspective
• Thermodynamic signatures of the field-induced states of graphite
• Symmetry-protected entangling boundary zero modes in crystalline topological insulators
• Robust helical edge transport at $\nu =0$ quantum Hall state
• Zero-energy states of massive Dirac equation in magnetic fields
• Magnetic field induced inequivalent vortex zero modes in strained graphene
• SU(4) spin waves in the $\nu =\pm 1$ quantum Hall ferromagnet in graphene
• Valence-Bond Order in a Honeycomb Antiferromagnet Coupled to Quantum Phonons
• Collective Bulk and Edge Modes through the Quantum Phase Transition in Graphene at $\nu =0$
• Chiral symmetry restoration in monolayer graphene induced by Kekule distortion
• Scattering of magnons at graphene quantum-Hall-magnet junctions
• Strain-induced excitonic instability in twisted bilayer graphene
• Chiral condensate with topological degeneracy in graphene and its manifestation in edge states
• Phase structure of monolayer graphene from effective U(1) gauge theory on honeycomb lattice
• Swapping exchange and spin-orbit induced correlated phases in proximitized Bernal bilayer graphene
• Competing orders in the Dirac-like electronic structure and the non-linear sigma model with the topological terms
• Unexpected Effectiveness of Berezinskii-Kosterlitz-Thouless Description of Electron Paramagnetic Resonance Linewidth Behaviour in the 3-Dimensional Manganite Bi${}_{0.5}$Sr${}_{0.5}$Mn${}_{0.9}$Cr${}_{0.1}$O${}_3$
• Splitting of critical energies in the $n$=0 Landau level of graphene
• Anomalous criticality in the quantum Hall transition at $n=0$ Landau level of graphene with chiral-symmetric disorders
• Dirac fermions in graphene and analogues: magnetic field and topological properties
• Hierarchy of Spin and Valley Symmetry Breaking in Quantum Hall Single Layer Graphene
• Theoretical Aspects of the Fractional Quantum Hall Effect in Graphene
• Quantum anomalous, spin, and valley Hall effects in pentalayer rhombohedral graphene moiré superlattices
• Zero modes of the generalized fermion-vortex system in magnetic field
• Spectrum of edge states in the $\nu =0$ quantum Hall phases in graphene
• Frequency splitting of intervalley phonons in graphene
• Topological Transition of Graphene from Quantum Hall Metal to Quantum Hall Insulator at $\nu =0$
• SU(4) Symmetry Breaking and Induced Superconductivity in Graphene Quantum Hall Edges
• Two-component parton fractional quantum Hall state in graphene
• Generalized Landau level representation: Effect of static screening in the quantum Hall effect in graphene
• Dirac Electrons in Molecular Solids
• Lattice deformation on flat-band modulation in 3D Hopf-linked carbon allotrope: Hopfene
• Spin-resoloved chiral condensate as a spin-unpolarized ν=0 quantum Hall state in graphene
• Temperature-induced phase transitions in the quantum Hall magnet of bilayer graphene
• Kekulé order from diffuse nesting near higher-order Van Hove points
• Study of polarization of even-denominator fractional quantum Hall states in SU(4) Graphene
• Skyrmionic Transport and First Order Phase Transitions in Twisted Bilayer Graphene Quantum Hall Ferromagnet
• Chiral Symmetry and Many-Body Effect in Multilayer Graphene
• Robust Zero Modes in Disordered Two-Dimensional Honeycomb Lattice with Kekulé Bond Ordering