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Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
- Katherine A. Schreiber1, and Gábor A. Csáthy2,3,4
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View Affiliations Hide AffiliationsAffiliations: 1Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA 2Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA; email: [email protected] 3Birck Nanotechnology Center, Purdue University, West Lafayette, Indiana 47907, USA 4Purdue Quantum Science and Engineering Institute, Purdue University, West Lafayette, Indiana 47907, USA
- Vol. 11:17-35 (Volume publication date March 2020) https://doi.org/10.1146/annurev-conmatphys-031119-050550
- First published as a Review in Advance on September 23, 2019
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Copyright © 2020 by Annual Reviews. All rights reserved
Abstract
Due to its extremely rich phase diagram, the two-dimensional electron gas exposed to perpendicular magnetic fields has been the subject of intense and sustained study. One particularly interesting problem in this system is that of the half-filled Landau level, where the Fermi sea of composite fermions, a fractional quantum Hall state arising from a pairing instability of the composite fermions, and the quantum Hall nematic were observed in the half-filled N = 0, N = 1, and N ≥ 2 Landau levels, respectively. Thus, different ground states developed in different half-filled Landau levels. This situation has recently changed, when evidence for both the paired fractional quantum Hall state and the quantum Hall nematic was reported in the half-filled N = 1 Landau level. Furthermore, a direct quantum phase transition between these two ordered states was found. These results highlight an intimate connection between pairing and nematicity, which is a topic of current interest in several strongly correlated systems, in a well-understood and low-disorder environment.
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