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Annual Review of Condensed Matter Physics

Volume 11, 2020

Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas

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 = 0, = 1, and ≥ 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 = 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.

Keyword(s): charge-density wave, composite fermion, Cooper pair, nematic, quantum critical point, quantum Hall effect, stripe phase
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2020-03-10
2024-04-25
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Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
Annual Review of Condensed Matter Physics 11, 17 (2020); https://doi.org/10.1146/annurev-conmatphys-031119-050550
/content/journals/10.1146/annurev-conmatphys-031119-050550
/content/journals/10.1146/annurev-conmatphys-031119-050550
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