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Title: Wigner solids of wide quantum wells near Landau filling ν = 1

Journal Article · · Physical Review B
 [1];  [2];  [1];  [2];  [2];  [2];  [2]
  1. National High Magnetic Field Lab., Tallahassee, FL (United States)
  2. Princeton Univ., NJ (United States)

Microwave spectroscopy within the Landau filling ($$ν$$) range of the integer quantum Hall effect (IQHE) has revealed pinning mode resonances signifying Wigner solids (WSs) composed of quasiparticles or -holes. We study pinning modes of WSs in wide quantum wells (WQWs) for $0.8 ≤ ν ≤ 1.2$, varying the density, $$n$$, and tilting the sample by angle $$θ$$ in the magnetic field. Three distinct WS phases are accessed. One phase, S1, is phenomenologically the same as the WS observed in the IQHEs of narrow QWs. The second phase, S2, exists at $$ν$$ further from $ν = 1$ than S1, and requires a sufficiently large n or θ , implying S2 is stabilized by the Zeeman energy. The melting temperatures of S1 and S2, estimated from the disappearance of the pinning mode, show different behavior versus $$ν$$. At the largest $$n$$ or $$θ$$, S2 disappears and the third phase, S1A, replaces S1, also exhibiting a pinning mode. This occurs as the WQW $ν = 1$ IQHE becomes a two-component, Halperin-Laughlin $$Ψ_{111}$$ state. We interpret S1A as a WS of the excitations of $$Ψ_{111}$$, which has not been previously observed.

Research Organization:
Princeton Univ., NJ (United States); Florida State Univ., Tallahassee, FL (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
FG02-00ER45841; FG02-05ER46212; FG02-05-ER46212; FG02-00-ER45841
OSTI ID:
1609341
Alternate ID(s):
OSTI ID: 1482758
Journal Information:
Physical Review B, Vol. 98, Issue 19; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

References (45)

Liquid-solid transition and the fractional quantum-Hall effect journal July 1984
Analytical theory of strongly correlated Wigner crystals in the lowest Landau level journal September 2015
New fractional quantum Hall state in double-layer two-dimensional electron systems journal March 1992
Spontaneous Interlayer Charge Transfer near the Magnetic Quantum Limit journal October 1997
Melting of a 2D quantum electron solid in high magnetic field journal June 2006
Competing Crystal Phases in the Lowest Landau Level journal October 2013
Static and dynamic properties of type-II composite fermion Wigner crystals journal September 2011
Observation of a ν=1/2 fractional quantum Hall state in a double-layer electron system journal March 1992
Pinning-Mode Resonance of a Skyrme Crystal near Landau-Level Filling Factor ν = 1 journal June 2010
Sharp tunnelling resonance from the vibrations of an electronic Wigner crystal journal December 2016
Pinned Wigner crystals journal December 2001
Evidence for two-dimentional quantum Wigner crystal journal October 1990
Evidence of a First-Order Phase Transition Between Wigner-Crystal and Bubble Phases of 2D Electrons in Higher Landau Levels journal October 2004
Many-body integer quantum Hall effect: Evidence for new phase transitions journal January 1994
Origin of the ν=1/2 fractional quantum Hall state in wide single quantum wells journal May 1994
Commensurability Oscillations of Composite Fermions Induced by the Periodic Potential of a Wigner Crystal journal August 2016
Correlated bilayer electron states journal November 1996
Microwave Resonance of the 2D Wigner Crystal around Integer Landau Fillings journal July 2003
Microwave spectroscopic observation of distinct electron solid phases in wide quantum wells journal June 2014
Composite Fermions book January 2007
NMR profiling of quantum electron solids in high magnetic fields journal July 2014
Observation of Reentrant Integer Quantum Hall States in the Lowest Landau Level journal July 2012
Microwave resonance and weak pinning in two-dimensional hole systems at high magnetic fields journal April 2000
Quantum liquid versus electron solid around ν=1/5 Landau-level filling journal July 1990
Electromagnetic response of a pinned Wigner crystal journal January 1999
One-component to two-component transition of the ν = 2 / 3 fractional quantum Hall effect in a wide quantum well induced by an in-plane magnetic field journal September 1997
Observation of a Magnetically Induced Wigner Solid journal June 1988
ν = 1 / 2 fractional quantum Hall effect in tilted magnetic fields journal January 2015
Pseudospin vortex-antivortex states with interwoven spin textures in double-layer quantum Hall systems journal November 2006
Anomalous temperature dependence of the correlated ν=1 quantum Hall effect in bilayer electron systems journal December 1994
Evidence for a Bilayer Quantum Wigner Solid journal August 1996
Giant Low Temperature Heat Capacity of GaAs Quantum Wells near Landau Level Filling ν = 1 journal June 1996
Dynamical response of a pinned two-dimensional Wigner crystal journal September 2000
Conduction threshold and pinning frequency of magnetically induced Wigner solid journal June 1991
Geometric Resonance of Composite Fermions near Bilayer Quantum Hall States journal December 2016
Wigner crystals in the lowest Landau level at low-filling factors journal August 2001
Fractional Quantum Hall Effect and Wigner Crystal of Interacting Composite Fermions journal December 2014
Microwave spectroscopy of the low-filling-factor bilayer electron solid in a wide quantum well journal May 2015
Skyrme Crystal in a Two-Dimensional Electron Gas journal September 1995
Unequal layer densities in bilayer Wigner crystal at high magnetic fields journal May 2012
Observation of a Pinning Mode in a Wigner Solid with ν = 1 / 3 Fractional Quantum Hall Excitations journal September 2010
Collective Excitations, NMR, and Phase Transitions in Skyrme Crystals journal June 1997
Evidence for Two Different Solid Phases of Two-Dimensional Electrons in High Magnetic Fields journal November 2004
Microwave spectroscopic observation of a Wigner solid within the ν = 1 / 2 fractional quantum Hall effect journal January 2017
Spontaneous interlayer coherence in double-layer quantum Hall systems: Charged vortices and Kosterlitz-Thouless phase transitions journal February 1995