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Anyonic superconductivity
Phys. Rev. D 42, 2161(R) – Published 15 September, 1990
DOI: https://doi.org/10.1103/PhysRevD.42.2161
Abstract
The renormalized Chern-Simons term at finite density is shown to vanish when the renormalized coefficient at zero density takes values . Thus in the Chern-Simons description a system of anyons at zero temperature is a superfluid. This result is shown to hold to all orders in perturbation theory by generalizing a nonrenormalization theorem of the zero-density case. We also discuss the finite-temperature case, where a perturbative Chern-Simons mass appears.
References (17)
- R. B. Laughlin, Science 242, 525 (1988)
- R. B. Laughlin, Phys. Rev. Lett. 59, 2095 (1987)
- J. M. Leinaas and J. Myrheim, Nuovo Cimento 37b, 1 (1977) G. A. Goldin, R. Menikoff, and D. H. Sharp, J. Math. Phys. 22, 1664 (1981) F. Wilczek, Phys. Rev. Lett. 48, 1144 (1982) ibid.49, 957 (1982)
- A. Fetter, C. Hanna, and R. B. Laughlin, Stanford University report (unpublished)
- Y. H. Chen, B. I. Halperin, F. Wilczek, and E. Witten, Institute for Advanced Study at Princeton Report No. IASSNS-HEP 89/27, 1989 (unpublished)
- T. Banks and J. Lykken, University of California at Santa Cruz Report No. SCIPP 89/12, 1989 (unpublished)
- J. Lykken, J. Sonnenschein, and N. Weiss (unpublished)
- A. Yu. Morozov and A. J. Niemi, Phys. Lett. B 236, 44 (1990)
- S. Coleman and B. Hill, Phys. Lett. 159B, 184 (1985) G. W. Semenoff, P. Sodano, and Y-S. Wu, Phys. Rev. Lett. 62, 715 (1989)
- D-H. Lee and M. Fisher, Phys. Rev. Lett. 63, 903 (1989) Y. Kitazawa and H. Murayama, University of Tokyo Report No. UT-549 (unpublished)
- S. Deser, R. Jackiw, and R. Templeton, Phys. Rev. Lett. 48, 975 (1982) Ann. Phys. (N.Y.) 140, 372 (1982)
- F. Wilczek and A. Zee, Phys. Rev. Lett. 51, 2250 (1983)
- D. Arovas, J. R. Schrieffer, F. Wilczek, and A. Zee, Nucl. Phys. B251, 117 (1985)
- A. J. Niemi and G. W. Semenoff, Phys. Rev. Lett. 54, 2166 (1985) G. W. Semenoff, ibid. 61, 517 (1988)
- X. G. Wen and A. Zee, Phys. Rev. Lett. 61, 1025 (1988) ibid.62, 1937 (1989) ibid.63, 461 (1989)
- J. Schwinger, Phys. Rev. 82, 664 (1951)
Omitted endnote