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Quantum Hall valley nematics.

S A Parameswaran1, B E Feldman2

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|February 12, 2019
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Summary
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Quantum Hall valley nematics are exotic electronic states in two-dimensional electron gases. These states break symmetry, leading to unique orientational order sensitive to disorder and topological defects.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Hall Effect
  • Materials Science

Background:

  • Two-dimensional electron gases (2DEGs) in strong magnetic fields are key systems for studying electronic ordering.
  • Quantum Hall states exhibit topological properties and are influenced by electron-electron interactions.

Purpose of the Study:

  • To review the physics of quantum Hall valley nematics.
  • To explore the interplay between symmetry breaking, disorder, and topological defects in these states.
  • To discuss experimental implications and future research directions.

Main Methods:

  • Theoretical review of interaction-driven quantum Hall states.
  • Analysis of symmetry breaking in topologically insulating states.
  • Examination of the role of quenched disorder and topological defects.

Main Results:

  • Quantum Hall valley nematics arise from spontaneous breaking of a combined spatial rotation and valley permutation symmetry.
  • The orientational order in these states is highly sensitive to quenched disorder.
  • Quantum Hall physics connects charge conduction to topological defects, creating a rich phase structure.

Conclusions:

  • Quantum Hall valley nematics present a unique platform for exploring complex electronic ordering.
  • Understanding these states requires considering the interplay of topology, symmetry, and disorder.
  • Further research into experimental systems and transport phenomena is warranted.