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Title: Thermal and Quantum Melting Phase Diagrams for a Magnetic-Field-Induced Wigner Solid

Abstract

A sufficiently large perpendicular magnetic field quenches the kinetic (Fermi) energy of an interacting two-dimensional (2D) system of fermions, making them susceptible to the formation of a Wigner solid (WS) phase in which the charged carriers organize themselves in a periodic array in order to minimize their Coulomb repulsion energy. In low-disorder 2D electron systems confined to modulation-doped GaAs heterostructures, signatures of a magnetic-field-induced WS appear at low temperatures and very small Landau level filling factors ($$\textit{ν}$$ ≃ 1/5). In dilute GaAs 2D hole systems, on the other hand, thanks to the larger hole effective mass and the ensuing Landau level mixing, the WS forms at relatively higher fillings ($$\textit{ν}$$ ≃ 1/3). Here we report our measurements of the fundamental temperature vs filling phase diagram for the 2D holes’ WS-liquid thermal melting. Moreover, via changing the 2D hole density, we also probe their Landau level mixing vs filling WS-liquid quantum melting phase diagram. In this work, we find our data to be in good agreement with the results of very recent calculations, although intriguing subtleties remain.

Authors:
ORCiD logo [1];  [1];  [1];  [1]; ORCiD logo [1];  [1];  [1];  [2];  [1]
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  1. Princeton Univ., NJ (United States)
  2. Northern Illinois Univ., DeKalb, IL (United States)
Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); Gordon and Betty Moore Foundation
OSTI Identifier:
1800000
Grant/Contract Number:  
FG02-00ER45841; DMR 1709076; MRSEC DMR 1420541; ECCS 1906253; GBMF9615; GBMF5305
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 125; Journal Issue: 3; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Physics

Citation Formats

Ma, Meng K., Villegas Rosales, K.  A., Deng, H., Chung, Y.  J., Pfeiffer, L. N., West, K.  W., Baldwin, K.  W., Winkler, R., and Shayegan, M. Thermal and Quantum Melting Phase Diagrams for a Magnetic-Field-Induced Wigner Solid. United States: N. p., 2020. Web. doi:10.1103/physrevlett.125.036601.
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Ma, Meng K., Villegas Rosales, K.  A., Deng, H., Chung, Y.  J., Pfeiffer, L. N., West, K.  W., Baldwin, K.  W., Winkler, R., & Shayegan, M. Thermal and Quantum Melting Phase Diagrams for a Magnetic-Field-Induced Wigner Solid. United States. https://doi.org/10.1103/physrevlett.125.036601
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Ma, Meng K., Villegas Rosales, K.  A., Deng, H., Chung, Y.  J., Pfeiffer, L. N., West, K.  W., Baldwin, K.  W., Winkler, R., and Shayegan, M. Tue . "Thermal and Quantum Melting Phase Diagrams for a Magnetic-Field-Induced Wigner Solid". United States. https://doi.org/10.1103/physrevlett.125.036601. https://www.osti.gov/servlets/purl/1800000.
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@article{osti_1800000,
title = {Thermal and Quantum Melting Phase Diagrams for a Magnetic-Field-Induced Wigner Solid},
author = {Ma, Meng K. and Villegas Rosales, K.  A. and Deng, H. and Chung, Y.  J. and Pfeiffer, L. N. and West, K.  W. and Baldwin, K.  W. and Winkler, R. and Shayegan, M.},
abstractNote = {A sufficiently large perpendicular magnetic field quenches the kinetic (Fermi) energy of an interacting two-dimensional (2D) system of fermions, making them susceptible to the formation of a Wigner solid (WS) phase in which the charged carriers organize themselves in a periodic array in order to minimize their Coulomb repulsion energy. In low-disorder 2D electron systems confined to modulation-doped GaAs heterostructures, signatures of a magnetic-field-induced WS appear at low temperatures and very small Landau level filling factors ($\textit{ν}$ ≃ 1/5). In dilute GaAs 2D hole systems, on the other hand, thanks to the larger hole effective mass and the ensuing Landau level mixing, the WS forms at relatively higher fillings ($\textit{ν}$ ≃ 1/3). Here we report our measurements of the fundamental temperature vs filling phase diagram for the 2D holes’ WS-liquid thermal melting. Moreover, via changing the 2D hole density, we also probe their Landau level mixing vs filling WS-liquid quantum melting phase diagram. In this work, we find our data to be in good agreement with the results of very recent calculations, although intriguing subtleties remain.},
doi = {10.1103/physrevlett.125.036601},
journal = {Physical Review Letters},
number = 3,
volume = 125,
place = {United States},
year = {Tue Jul 14 00:00:00 EDT 2020},
month = {Tue Jul 14 00:00:00 EDT 2020}
}
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https://doi.org/10.1103/physrevlett.125.036601
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