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Breakdown of the $v=1$ integer quantum Hall effect in the single particle and collective localization regimes

Journal Article · · Solid State Communications
We report large signal current–voltage characteristics measurements near the $v=1$ integer quantum Hall plateau in a high mobility GaAs/AlGaAs sample that exhibits both single particle and collective localization. According to prior results, the central part of the $v=1$ plateau corresponds to single particle localization and hence an Anderson insulator. In contrast, the two regions in the flanks of this Anderson insulator were associated with collective localization and were identified with the integer quantum Hall Wigner solid. We find that, at low temperatures and under large bias currents, both the Anderson insulator and integer quantum Hall Wigner solid have a sharp onset of conduction above a threshold. Furthermore, this threshold shows an approximately monotonic dependence on the filling factor across the boundary between the two localized phases. Finally, to our surprise, we find that these large signal characteristics do not clearly distinguish between the Anderson insulator and the integer quantum Hall Wigner solid.
Research Organization:
Purdue Univ., West Lafayette, IN (United States)
Sponsoring Organization:
Gordon and Betty Moore Foundation; National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0006671
OSTI ID:
1977672
Alternate ID(s):
OSTI ID: 1960930
Journal Information:
Solid State Communications, Journal Name: Solid State Communications Journal Issue: C Vol. 353; ISSN 0038-1098
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (53)

Breakdown of the quantum Hall effect due to electron heating journal May 1985
Device-width dependence of plateau width in quantum Hall states journal February 1993
Strongly anisotropic transport in higher two-dimensional Landau levels journal January 1999
Breakdown of the quantum Hall effect journal April 1999
Wigner crystallization about ν=3 journal April 2004
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
Ultra-high-quality two-dimensional electron systems journal February 2021
Wigner crystals in flat band 2D electron systems journal March 2022
Two-dimensional magneto-quantum transport on GaAs-Al x Ga 1-x As heterostructures under non-ohmic conditions journal October 1983
Critical non-dissipative current of quantum Hall regime journal July 1984
The quantum Hall effect as an electrical resistance standard journal November 2001
Critical current density for the dissipationless quantum Hall effect journal August 1986
Size-dependent quantised breakdown of the dissipationless quantum Hall effect in narrow channels journal December 1986
Quantised dissipative states at breakdown of the quantum Hall effect journal April 1990
Magnetic field dependence of quantized Hall effect breakdown voltages journal August 1992
Magnetotransport patterns of collective localization near ν=1 in a high-mobility two-dimensional electron gas journal July 2021
Termination of the series of fractional quantum hall states at small filling factors journal October 1988
Current-voltage discontinuities in high-quality two-dimensional electron systems at low Landau-level filling factors journal September 1989
Magnetotransport studies of the insulating phase around ν=1/5 Landau-level filling journal October 1991
Nonlinear current-voltage characteristics at quantum Hall resistance minima journal July 1994
Ground state of a two-dimensional electron liquid in a weak magnetic field journal July 1996
Exact results for interacting electrons in high Landau levels journal August 1996
Laughlin liquid to charge-density-wave transition at high Landau levels journal April 1997
Insulating phases of two-dimensional electrons in high Landau levels: Observation of sharp thresholds to conduction journal October 1999
Heat instability of quantum Hall conductors journal January 2000
Depinning transition of bubble phases in a high Landau level journal March 2015
Nonequilibrium transport in density-modulated phases of the second Landau level journal May 2015
Crossover between localized states and pinned Wigner crystal in high-mobility n -GaAs/AlGaAs heterostructures near filling factor ν = 1 journal November 2015
Electron bubbles and the structure of the orbital wave function journal May 2019
Observation of Reentrant Phases Induced by Short-Range Disorder in the Lowest Landau Level of Al x Ga 1 − x As / Al 0.32 Ga 0.68 As Heterostructures journal August 2010
Nonconventional Odd-Denominator Fractional Quantum Hall States in the Second Landau Level journal December 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
Electron-Hole Asymmetric Chiral Breakdown of Reentrant Quantum Hall States journal October 2016
Competing Charge Density Waves Probed by Nonlinear Transport and Noise in the Second and Third Landau Levels journal March 2018
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
Dissipation and Dynamic Nonlinear Behavior in the Quantum Hall Regime journal October 1983
Evidence for the Fractional Quantum Hall State at ν = 1 7 journal August 1988
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
Conduction threshold and pinning frequency of magnetically induced Wigner solid journal June 1991
Low-frequency noise in the reentrant insulating phase around the 1/5 fractional quantum Hall liquid journal September 1991
Scaling of the critical current in the quantum Hall effect: A probe of current distribution journal August 1993
Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field journal January 1996
Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels journal January 1999
Spontaneous Breakdown of Translational Symmetry in Quantum Hall Systems: Crystalline Order in High Landau Levels journal December 2000
Insulating and Fractional Quantum Hall States in the First Excited Landau Level journal January 2002
Transition from an Electron Solid to the Sequence of Fractional Quantum Hall States at Very Low Landau Level Filling Factor journal April 2002
Microwave Resonance of the 2D Wigner Crystal around Integer Landau Fillings journal July 2003
Evidence of a First-Order Phase Transition Between Wigner-Crystal and Bubble Phases of 2D Electrons in Higher Landau Levels journal October 2004
Astability and Negative Differential Resistance of the Wigner Solid journal February 2007