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Shift and spin vector: New topological quantum numbers for the Hall fluids
Abstract
We discuss some new quantum numbers (spin vector) for the Hall fluid, representing orbital spin degrees of freedom. We show that the spin vectors are quantized. In the absence of impurites, two Hall fluids with different spin vectors cannot change into each other without a phase transition and closing of the energy gap. In principle the spin vector can be measured through its coupling to the curvature of space. Our formalism may be described picturesquely as a unification of electromagnetism and ``gravity'' in condensed-matter physics.
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Citations
Cites
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
Haldane, F. D. M. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.605 · Cited by 2,210
Cited by
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
Topological orders and edge excitations in fractional quantum Hall states
Wen, X.-G. (1995) · Advances in Physics · doi:10.1080/00018739500101566 · Cited by 1,060
Self-citationViscosity of Quantum Hall Fluids
Avron, J. E., Seiler, R., & Zograf, P. G. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.697 · Cited by 422
Is the Composite Fermion a Dirac Particle?
Son, D. T. (2015) · Physical Review X · doi:10.1103/physrevx.5.031027 · Cited by 393
Metadata
- Authors
- Wen, X. G., & Zee, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1992-08-10
- Volume
- 69
- Issue
- 6
- Pages
- 953-956
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2078037298
- Cited by
- 380
- References
- 1
- FWCI
- 3.45
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wen, X. G., & Zee, A. (1992). Shift and spin vector: New topological quantum numbers for the Hall fluids. Physical Review Letters. https://doi.org/10.1103/physrevlett.69.953
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