Journal
PHYSICAL REVIEW B
Volume 88, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.88.125137
Keywords
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Funding
- National Science Foundation [DMR 10-06608, PHY-1005429]
- U.S. Department of Energy [AC02-76SF00515]
- Simons Foundation
- Department of Energy, Office of Basic Energy Sciences [DE-SC0002140]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1005429] Funding Source: National Science Foundation
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The topological physics of quantum Hall states is efficiently encoded in purely topological quantum field theories of the Chern-Simons type. The reliable inclusion of low-energy dynamical properties in a continuum description, however, typically requires proximity to a quantum critical point. We construct a field theory that describes the quantum transition from an isotropic to a nematic Laughlin liquid. The soft mode associated with this transition approached from the isotropic side is identified as the familiar intra-Landau level Girvin-MacDonald-Platzman mode. We obtain z = 2 dynamic scaling at the critical point and a description of Goldstone and defect physics on the nematic side. Despite the very different physical motivation, our field theory is essentially identical to a recent geometric field theory for a Laughlin liquid proposed by Haldane.
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