Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Thermal activation signatures of the Anderson insulator and the Wigner solid forming near ν = 1

Journal Article · · Physical Review Research

When interactions overcome disorder, integer quantum Hall plateaus support topological phases with different bulk insulators. In the center of the ν = 1 plateau the bulk is an Anderson-type insulator, while in the flanks of the plateau the bulk is the integer quantum Hall Wigner solid. We find that the activation energy along the ν = 1 plateau exhibits a very dramatic nonmonotonic dependence on the magnetic field, a dependence that is strongly correlated with the stability regions of the two phases. Furthermore, the activation energy has an unexpected minimum at the boundary between the Anderson insulator and the Wigner solid. Our findings constrain the theory of the integer quantum Hall Wigner solid, determine its thermodynamic properties, and reveal unusual behavior at the boundary between the Anderson insulator and the Wigner solid.

Published by the American Physical Society 2024
Research Organization:
Purdue University, West Lafayette, IN (United States)
Sponsoring Organization:
DOE BES; Gordon and Betty Moore Foundation’s EPiQS Initiative; USDOE
Grant/Contract Number:
SC0006671
OSTI ID:
2371741
Alternate ID(s):
OSTI ID: 2382700
Journal Information:
Physical Review Research, Journal Name: Physical Review Research Journal Issue: 2 Vol. 6; ISSN 2643-1564; ISSN PPRHAI
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (71)

Effect of localization on the hall conductivity in the two-dimensional system in strong magnetic fields journal June 1981
Strongly anisotropic transport in higher two-dimensional Landau levels journal January 1999
Revision of the edge channel picture for the integer quantum Hall effect journal April 2023
NMR profiling of quantum electron solids in high magnetic fields journal July 2014
Sharp tunnelling resonance from the vibrations of an electronic Wigner crystal journal December 2016
Composite fermion liquid to Wigner solid transition in the lowest Landau level of zinc oxide journal October 2018
The quantum Hall effect in the absence of disorder journal March 2021
Ultra-high-quality two-dimensional electron systems journal February 2021
Competing correlated states around the zero-field Wigner crystallization transition of electrons in two dimensions journal December 2021
Solids of quantum Hall skyrmions in graphene journal December 2019
Spin phase diagram of the interacting quantum Hall liquid journal June 2020
Bilayer Wigner crystals in a transition metal dichalcogenide heterostructure journal June 2021
Signatures of Wigner crystal of electrons in a monolayer semiconductor journal June 2021
Imaging two-dimensional generalized Wigner crystals journal September 2021
Particle-hole symmetry and the reentrant integer quantum Hall Wigner solid journal September 2021
Integrated electronic transport and thermometry at milliKelvin temperatures and in strong magnetic fields journal May 2011
Density of states of a two-dimensional electron gas in a strong magnetic field journal September 1985
Finite Capacitive Response at the Quantum Hall Plateau journal August 2022
Depinning and nonequilibrium dynamic phases of particle assemblies driven over random and ordered substrates: a review journal December 2016
Stability of multielectron bubbles in high Landau levels journal September 2020
Microscopic details of stripes and bubbles in the quantum Hall regime journal September 2020
Size scaling of the exchange interaction in the quantum Hall effect regime journal December 2020
Magnetotransport patterns of collective localization near ν=1 in a high-mobility two-dimensional electron gas journal July 2021
Pinning and conductivity of two-dimensional charge-density waves in magnetic fields journal December 1978
Quantized Hall resistance and the measurement of the fine-structure constant journal May 1981
Temperature dependence of the quantized Hall effect journal November 1985
Termination of the series of fractional quantum hall states at small filling factors journal October 1988
Incompressible quantum Hall states journal October 1989
Pinning of a two-dimensional Wigner crystal by charged impurities journal August 1992
Skyrmions and the crossover from the integer to fractional quantum Hall effect at small Zeeman energies journal June 1993
Charged spin-texture excitations and the Hartree-Fock approximation in the quantum Hall effect journal October 1994
Skyrmions in the quantum Hall effect at finite Zeeman coupling journal December 1996
Exact results for interacting electrons in high Landau levels journal August 1996
Insulating phases of two-dimensional electrons in high Landau levels: Observation of sharp thresholds to conduction journal October 1999
Disorder and interactions in quantum Hall ferromagnets near ν = 1 journal November 2000
Crossover between localized states and pinned Wigner crystal in high-mobility n -GaAs/AlGaAs heterostructures near filling factor ν = 1 journal November 2015
Manifestation of many-body interactions in the integer quantum Hall effect regime journal September 2017
Two- and three-electron bubbles in Al x Ga 1 − x As / Al 0.24 Ga 0.76 As quantum wells journal April 2019
Soft Spin Wave near ν = 1 : Evidence for a Magnetic Instability in Skyrmion Systems journal February 2008
Pinning-Mode Resonance of a Skyrme Crystal near Landau-Level Filling Factor ν = 1 journal June 2010
Observation of Reentrant Integer Quantum Hall States in the Lowest Landau Level journal July 2012
Signatures for Wigner Crystal Formation in the Chemical Potential of a Two-Dimensional Electron System journal August 2014
Fractional Quantum Hall Effect and Wigner Crystal of Interacting Composite Fermions journal December 2014
Disorder-Induced Stabilization of the Quantum Hall Ferromagnet journal March 2016
Probing the Melting of a Two-Dimensional Quantum Wigner Crystal via its Screening Efficiency journal March 2019
Thermal and Quantum Melting Phase Diagrams for a Magnetic-Field-Induced Wigner Solid journal July 2020
New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance journal August 1980
Two-Dimensional Magnetotransport in the Extreme Quantum Limit journal May 1982
Evidence for two-dimentional quantum Wigner crystal journal October 1990
Quantum liquid versus electron solid around ν=1/5 Landau-level filling journal July 1990
Disorder-Induced Phase Transitions in Two-Dimensional Crystals journal June 1995
Optically Pumped NMR Evidence for Finite-Size Skyrmions in GaAs Quantum Wells near Landau Level Filling ν = 1 journal June 1995
Skyrme Crystal in a Two-Dimensional Electron Gas journal September 1995
Evidence for Skyrmions and Single Spin Flips in the Integer Quantized Hall Effect journal December 1995
Giant Low Temperature Heat Capacity of GaAs Quantum Wells near Landau Level Filling ν = 1 journal June 1996
Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field journal January 1996
Evidence of Skyrmion Excitations about ν = 1 in n -Modulation-Doped Single Quantum Wells by Interband Optical Transmission journal January 1996
Spin Excitations of a Two-Dimensional Electron Gas in the Limit of Vanishing Landé g Factor journal November 1996
Collective Excitations, NMR, and Phase Transitions in Skyrme Crystals journal June 1997
Critical Behavior of Nuclear-Spin Diffusion in GaAs/AlGaAs Heterostructures near Landau Level Fillingν=1 journal September 1997
Shape-Deformation-Driven Structural Transitions in Quantum Hall Skyrmions journal November 1997
Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels journal January 1999
Skyrmions in Disordered Heterostructures journal January 1999
Insulating and Fractional Quantum Hall States in the First Excited Landau Level journal January 2002
Electrically Controlled Nuclear Spin Polarization and Relaxation by Quantum-Hall States journal April 2002
Resistively Detected Nuclear Magnetic Resonance in the Quantum Hall Regime: Possible Evidence for a Skyrme Crystal journal June 2002
Microwave Resonance of the 2D Wigner Crystal around Integer Landau Fillings journal July 2003
Evidence for Skyrmion Crystallization from NMR Relaxation Experiments journal May 2005
Competition between fractional quantum Hall liquid and Wigner solid at small fillings: Role of layer thickness and Landau level mixing journal February 2021
Wigner solid pinning modes tuned by fractional quantum Hall states of a nearby layer journal March 2019
Electronic states in gallium arsenide quantum wells probed by optically pumped NMR journal June 1995