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Title: Topological spin ordering via Chern-Simons superconductivity

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Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
Grant/Contract Number:
FG02-08ER46482; DESC0001911
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 9; Related Information: CHORUS Timestamp: 2017-03-15 22:13:23; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Sedrakyan, Tigran A., Galitski, Victor M., and Kamenev, Alex. Topological spin ordering via Chern-Simons superconductivity. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.95.094511.
Sedrakyan, Tigran A., Galitski, Victor M., & Kamenev, Alex. Topological spin ordering via Chern-Simons superconductivity. United States. doi:10.1103/PhysRevB.95.094511.
Sedrakyan, Tigran A., Galitski, Victor M., and Kamenev, Alex. Wed . "Topological spin ordering via Chern-Simons superconductivity". United States. doi:10.1103/PhysRevB.95.094511.
title = {Topological spin ordering via Chern-Simons superconductivity},
author = {Sedrakyan, Tigran A. and Galitski, Victor M. and Kamenev, Alex},
abstractNote = {},
doi = {10.1103/PhysRevB.95.094511},
journal = {Physical Review B},
number = 9,
volume = 95,
place = {United States},
year = {Wed Mar 15 00:00:00 EDT 2017},
month = {Wed Mar 15 00:00:00 EDT 2017}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevB.95.094511

Citation Metrics:
Cited by: 1work
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  • In this paper, starting from a system of noninteracting spins in a plane and introducing an appropriate density function for spins, the authors arrive at a metric independent continuum chiral model. The Lagrangian of this model is a variant of the CP{sup 1} Chern-Simons term and is characterized by an interesting variety of gauge and symmetry groups and topological features. Certain significant aspects of this model or variants thereof are also shared by the mean field approach to the anyon gas, the CP model with the Chern-Simons term and the RVB description of the strongly coupled Hubbard model. The classmore » of models studied here may therefore be useful in the investigation of the latter systems.« less
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  • We show that loop wave equations in non-Abelian Chern-Simons gauge theory are exactly solved by a conformally invariant topological fermionic string theory.
  • We construct quantum-mechanical models that are analogs of three-dimensional, topologically massive as well as Chern-Simons gauge-field theories, and we study the phase-space reductive limiting procedure that takes the former to the latter. The zero-point spectra of operators behave discontinuously in the limit, as a consequence of a nonperturbative quantum-mechanical anomaly. The nature of the limit for wave functions depends on the representation, but is always such that normalization is preserved.