Quantized heat flow in graphene quantum Hall phases: Probing the topological order

Abstract

Topological quantum numbers are often used to characterise the topological order of phase having protected gapless edge modes when the system is kept in a space with the boundary. The famous examples in this category are the quantized electrical Hall conductance and thermal Hall conductance, which encodes the topological order of integer and fractional quantum Hall states. Here, we review the recent thermal transport study of integer and fractional quantum Hall states realized in graphene-based van der Waals heterostructures.

arXiv commentInvited Review article (Editor's Pick)

References in corpus (69)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Room-Temperature Quantum Hall Effect in Graphene
• Topological entanglement entropy
• Detecting topological order in a ground state wave function
• Unconventional Integer Quantum Hall effect in graphene
• Electronic Properties of Graphene in a Strong Magnetic Field
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Quantum Hall Ferromagnetism in Graphene
• Landau Level Splitting in Graphene in High Magnetic Fields
• Spin Filtered Edge States and Quantum Hall Effect in Graphene
• Multicomponent fractional quantum Hall effect in graphene
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Observation of half-integer thermal Hall conductance
• Transition from quantum Hall to compressible states in the second Landau level: new light on the $\nu$=5/2 enigma
• Spin and valley quantum Hall ferromagnetism in graphene
• Quantized Thermal Transport in the Fractional Quantum Hall Effect
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Tunable symmetry breaking and helical edge transport in a graphene quantum spin Hall state
• Quantum limit of heat flow across a single electronic channel
• Half-integer quantized anomalous thermal Hall effect in the Kitaev material $\alpha$-RuCl${}_3$
• Dephasing of Electrons in Mesoscopic Metal Wires
• Fractional Quantum Hall Effect of Composite Fermions
• Observation of neutral modes in the fractional quantum Hall regime
• Coulomb Interactions and Ferromagnetism in Pure and Doped Graphene
• Impurity scattering and transport of fractional Quantum Hall edge state
• Observed Quantization of Anyonic Heat Flow
• Electron interactions in graphene in a strong magnetic field
• Collective Modes and Skyrmion Excitations in Graphene SU(4) Quantum Hall Ferromagnets
• Thermal transport in a Luttinger liquid
• Unconventional Sequence of Fractional Quantum Hall States in Suspended Graphene
• Thermal Transport in Chiral Conformal Theories and Hierarchical Quantum Hall States
• Theory of integer quantum Hall effect in graphene
• Quantum Hall Effect of Dirac Fermions in Graphene: Disorder Effect and Phase Diagram
• Even denominator fractional quantum Hall states at an isospin transition in monolayer graphene
• Theory of Anomalous Quantum Hall Effects in Graphene
• Reconstruction of Fractional Quantum Hall Edges
• The Fractional Quantum Hall state at nu=5/2 and the Moore-Read Pfaffian
• Cross-Correlated Responses of Topological Superconductors and Superfluids
• Fractional Quantum Hall Phase Transitions and Four-flux Composite Fermions in Graphene
• Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2
• High quality magnetotransport in graphene using the edge-free Corbino geometry
• Quantum Thermal Hall Effect in a Time-Reversal-Symmetry-Broken Topological Superconductor in Two Dimensions : Approach From Bulk Calculations
• Edge reconstruction in the fractional quantum Hall regime
• Landau-level-mixing and the ground state of the 5/2 quantum Hall effect
• Fractional Exclusion Statistics and the Universal Quantum of Thermal Conductance: A Unifying Approach
• Spontaneous Symmetry Breaking and Quantum Hall Effect in Graphene
• Selective equilibration of spin and valley polarized quantum Hall edge states in graphene
• Charge-Relaxation and Dwell Time in the fluctuating Admittance of a Chaotic Cavity
• Vanishing thermal equilibration for hole-conjugate fractional quantum Hall states in graphene
• Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect
• Phase Diagram of Bilayer Composite Fermion States
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Noise on the Non-Abelian $\nu =5/2$ Fractional Quantum Hall Edge
• Observation of ballistic upstream modes at fractional quantum Hall edges of graphene
• Partial Equilibration of the Anti-Pfaffian edge due to Majorana Disorder
• An Introduction to Quantum Order, String-net Condensation, and Emergence of Light and Fermions
• Determination of topological edge quantum numbers of fractional quantum Hall phases
• Partial equilibration of anti-Pfaffian edge modes at $\nu =5/2$
• Heat equilibration of integer and fractional quantum Hall edge modes in graphene
• Ferromagnetic Fractional Quantum Hall States in a Valley-Degenerate Two-Dimensional Electron System
• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• Charge-statistics separation and probing non-Abelian states
• Interplay between lattice-scale physics and the quantum Hall effect in graphene
• Probing the neutral edge modes in transport across a point contact via thermal effects in the Read-Rezayi non-abelian quantum Hall states
• Long tunneling contact as a probe of fractional quantum Hall neutral edge modes
• Equilibration of Quantum hall edges in symmetry broken bilayer graphene