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

Abstract

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.

Authors:
 [1];  [2];  [1];  [2];  [2];  [2];  [2]
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  1. National High Magnetic Field Lab., Tallahassee, FL (United States)
  2. Princeton Univ., NJ (United States)
Publication Date:
Research Org.:
Princeton Univ., NJ (United States); Florida State Univ., Tallahassee, FL (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1609341
Alternate Identifier(s):
OSTI ID: 1482758
Grant/Contract Number:  
FG02-00ER45841; FG02-05ER46212; FG02-05-ER46212; FG02-00-ER45841
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 98; Journal Issue: 19; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Charge density waves; Optical conductivity; Phase diagrams; Quantum transport; Semiconductors; Two-dimensional electron gas; Microwave techniques

Citation Formats

Hatke, A.  T., Liu, Yang, Engel, L.  W., Pfeiffer, L.  N., West, K.  W., Baldwin, K.  W., and Shayegan, M. Wigner solids of wide quantum wells near Landau filling ν=1. United States: N. p., 2018. Web. doi:10.1103/physrevb.98.195309.
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Hatke, A.  T., Liu, Yang, Engel, L.  W., Pfeiffer, L.  N., West, K.  W., Baldwin, K.  W., & Shayegan, M. Wigner solids of wide quantum wells near Landau filling ν=1. United States. https://doi.org/10.1103/physrevb.98.195309
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Hatke, A.  T., Liu, Yang, Engel, L.  W., Pfeiffer, L.  N., West, K.  W., Baldwin, K.  W., and Shayegan, M. Mon . "Wigner solids of wide quantum wells near Landau filling ν=1". United States. https://doi.org/10.1103/physrevb.98.195309. https://www.osti.gov/servlets/purl/1609341.
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@article{osti_1609341,
title = {Wigner solids of wide quantum wells near Landau filling ν=1},
author = {Hatke, A.  T. and Liu, Yang and Engel, L.  W. and Pfeiffer, L.  N. and West, K.  W. and Baldwin, K.  W. and Shayegan, M.},
abstractNote = {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.},
doi = {10.1103/physrevb.98.195309},
journal = {Physical Review B},
number = 19,
volume = 98,
place = {United States},
year = {Mon Nov 19 00:00:00 EST 2018},
month = {Mon Nov 19 00:00:00 EST 2018}
}
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https://doi.org/10.1103/physrevb.98.195309
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