Evidence for charge-flux duality near the quantum Hall liquid to insulator transition
arXiv:cond-mat/9510113 · doi:10.1126/science.274.5287.589
Abstract
We examine the longitudinal, non-linear, current-voltage characteristics near the quantum Hall liquid to insulator transition and show that a simple mapping exists between the characteristics on the quantum Hall side and those on the insulating side of the transition. More precisely, at filling factors related by the law of corresponding states the current and voltage simply trade places. We interpret these observations as evidence for the existence, in the composite boson description, of charge-flux duality near disorder dominated transitions in quantum Hall systems. (Appearances notwithstanding, this is an experimental paper.)
10 pages, Revtex 3.0, 4 uuencoded postscript figures
Cited by in corpus (80)
- Metallic behavior and related phenomena in two dimensions
- Metal-insulator transition in two-dimensional electron systems
- Non-zero temperature transport near quantum critical points
- Scaling theory of two-dimensional metal-insulator transitions
- Wigner crystallization and metal-insulator transition of two-dimensional holes in GaAs/AlGaAs at B=0
- Transport Through Quantum Melts
- Holographic Quantum Critical Transport without Self-Duality
- A New Transport Regime in the Quantum Hall Effect
- Particle-Vortex Duality and the Modular Group: Applications to the Quantum Hall Effect and Other 2-D Systems
- Effects of dissipation on quantum phase transitions
- Vortices in quantum droplets: Analogies between boson and fermion systems
- A different view of the quantum Hall plateau-to-plateau transitions
- The Quantized Hall Insulator: A New Insulator in Two-Dimensions
- Hopping conductivity in the quantum Hall effect -- revival of universal scaling
- Coulomb interactions at quantum Hall critical points of systems in a periodic potential
- Metal to insulator transition on the N = 0 Landau level in graphene
- Particle-hole symmetric Luttinger liquids in a quantum Hall circuit
- Derivation of the Semi-circle Law from the Law of Corresponding States
- Hall Resistivity and Dephasing in the Quantum Hall Insulator
- The Nature of the Hall Insulator
- Modular invariance, universality and crossover in the quantum Hall effect
- Semicircle: An exact relation in the Integer and Fractional Quantum Hall Effect
- Composite fermions and the field-tuned superconductor-insulator transition
- AdS/QHE: Towards a Holographic Description of Quantum Hall Experiments
- The Landau level: Half-full or half-empty?
- Emergent particle-hole symmetry in the half-filled Landau level
- The effects of weak disorders on Quantum Hall critical points
- Duality in the Quantum Hall Effect - the Role of Electron Spin
- The Quantum Hall Effect in Graphene: Emergent Modular Symmetry and the Semi-circle Law
- A Simple Holographic Model of Nonlinear Conductivity
- Electron-hole duality and vortex rings in quantum dots
- Phase Diagram of Integer Quantum Hall Effect
- Dirac Composite Fermions and Emergent Reflection Symmetry about Even Denominator Filling Fractions
- Duality and Non-linear Response for Quantum Hall Systems
- Universal Thermodynamic Signature of Self-dual Quantum Critical Points
- Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems
- Universality in an integer Quantum Hall transition
- Duality Near Quantum Hall Transitions
- Duality and Global Symmetries
- Vortex Tunneling and Transport Theory In Two-Dimensional Bose Condensates
- Weiss oscillations and particle-hole symmetry at the half-filled Landau level
- Information about the Integer Quantum Hall Transition Extracted from the Autocorrelation Function of Spectral Determinants
- Dirac Composite Fermion Theory of General Jain's Sequences
- Particle-vortex symmetric liquid
- Reflection Symmetry and Quantized Hall Resistivity near Quantum Hall Transition
- Network of edge states: random Josephson junction array description
- The Quantized Hall Insulator: a "Quantum" Signature of a "Classical" Transport Regime?
- Universality at integer quantum Hall transitions
- Numerical Study of a Dual Representation of the Integer Quantum Hall Transition
- Weakly chiral networks and 2D delocalized states in a weak magnetic field
- Duality, the Semi-Circle Law and Quantum Hall Bilayers
- Experimental probes of emergent symmetries in the quantum Hall system
- From the zero-field metal-insulator transition in two dimensions to the quantum Hall transition: a percolation-effective-medium theory
- Classical versus Quantum Transport near Quantum Hall Transitions
- Correlation between magnetic domain structures and quantum anomalous Hall effect in epitaxial MnBi2Te4 thin films
- Fluctuating Hall resistance defeats the quantized Hall insulator
- Renormalization of modular invariant Coulomb gas and Sine-Gordon theories, and quantum Hall flow diagram
- Self-duality of the integer quantum Hall to insulator transition: composite fermion description
- Three-dimensional quasi-quantized Hall insulator phase in SrSi2
- Pairing of particle-hole symmetric composite fermions in half-filled Landau level
- Global symmetries of quantum Hall systems: lattice description
- Real-space renormalization-group approach to the integer quantum Hall effect
- Universal scaling, beta function, and metal-insulator transitions
- Emergent reflection symmetry from non-relativistic composite fermions
- Composite Fermion Nonlinear Sigma Models
- On the origin of duality in the quantum Hall system
- Interplay of Short-Range Interactions and Quantum Interference Near the Integer Quantum Hall Transition
- Unusually wide plateau of quantized Hall resistance in a quasi bilayer hole system inside the p-GeSi / Ge / p-GeSi quantum well
- An RG potential for the quantum Hall effects
- Non-equilibrium restoration of duality symmetry in the vicinity of the superconductor-insulator transition
- Testing quantum duality using cold Rydberg atoms
- Edge States on a Quantum Hall Liquid--Solid Interface
- Elliptic mirror of the quantum Hall effect
- Resistivity peak values at transition between fractional quantum Hall states
- Edge state transmission, duality relation and its implication to measurements
- Self-Duality in Superconductor-Insulator Quantum Phase Transitions
- Critical Resistivity along the Quantum Hall Liquid--Insulator Transition Line
- Phenomenological Understanding of a Transport Regime with Reflection Symmetry in the Quantum Hall System in a Composite Fermion Picture
- Critical behavior at the dynamic Mott transition
- The edge state network model and the global phase diagram