Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach

Lu, Yuan-Ming; Vishwanath, Ashvin

doi:10.1103/PhysRevB.86.125119

Title: Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach

Full Record
Other Related Research

Authors:: Lu, Yuan-Ming; Vishwanath, Ashvin

Publication Date:: 2012-09-14

Sponsoring Org.:: USDOE

OSTI Identifier:: 1103338

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 86; Journal Issue: 12; Journal ID: ISSN 1098-0121

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Lu, Yuan-Ming, and Vishwanath, Ashvin. Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach.  United States: N. p., 2012. 
Web.  doi:10.1103/PhysRevB.86.125119.

Copy to clipboard


                    Lu, Yuan-Ming, & Vishwanath, Ashvin. Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach.  United States.  https://doi.org/10.1103/PhysRevB.86.125119

Copy to clipboard


                    Lu, Yuan-Ming, and Vishwanath, Ashvin. Fri .  
"Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach".  United States.  https://doi.org/10.1103/PhysRevB.86.125119.

Copy to clipboard


                    
@article{osti_1103338,

  title        = {Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach},

  author       = {Lu, Yuan-Ming and Vishwanath, Ashvin},

  abstractNote = {},

  doi          = {10.1103/PhysRevB.86.125119},

  journal      = {Physical Review B},

  number       = 12,

  volume       = 86,

  place        = {United States},

  year         = {2012},

  month        = {9}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.86.125119

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 221 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Classification and properties of symmetry-enriched topological phases: Chern-Simons approach with applications to $Z_{2}$ spin liquids

Journal Article Lu, Yuan-Ming ; Vishwanath, Ashvin - Physical Review B
Cited by 28
https://doi.org/10.1103/PhysRevB.93.155121
Chern-Simons topological Lagrangians in odd dimensions and their Kaluza-Klein reduction

Journal Article Wu, Y - Ann. Phys. (N.Y.); (United States)

Clarifying the behavior of generic Chern-Simons secondary invariants under infinitesimal variation and finite gauge transformation, it is proved that they are eligible to be a candidate term in the Lagrangian in odd dimensions (2k-1 for gauge theories and 4k-1 for gravity). The coefficients in front of these terms may be quantized because of topological reasons. As a possible application, the dimensional reduction of such actions in Kaluza-Klein theory is discussed. The difficulty in defining the Chern-Simons action for topologically nontrivial field configurations is pointed out and resolved.
https://doi.org/10.1016/0003-4916(84)90215-X
Superconducting phase transition in a two-dimensional Chern-Simons theory

Journal Article Kapusta, J ; Carrington, M E ; Bayman, B ; ... - Physical Review, B: Condensed Matter; (United States)

We consider a two-dimensional Chern-Simons gauge theory where the gauge field couples to an internal degree of freedom of the fermion. For a fixed gauge coupling {ital g} there exists a finite window of Chern-Simons magnetic moment coupling {ital g}{prime} for which a nonzero Chern-Simons magnetic field is generated at {ital T}=0. The system then is superconducting without Cooper pairing. There is a second-order thermodynamic phase transition at {ital T}{sub {ital c}}{gt}0 where the Chern-Simons magnetic field goes to zero and superconductivity terminates.
https://doi.org/10.1103/PhysRevB.44.7519
Abelian Chern{endash}Simons theory. I. A topological quantum field theory

Journal Article Manoliu, M - Journal of Mathematical Physics

We give a construction of the Abelian Chern{endash}Simons gauge theory from the point of view of a 2+1-dimensional topological quantum field theory. The definition of the quantum theory relies on geometric quantization ideas that have been previously explored in connection to the non-Abelian Chern{endash}Simons theory [J. Diff. Geom. {bold 33}, 787{endash}902 (1991); Topology {bold 32}, 509{endash}529 (1993)]. We formulate the topological quantum field theory in terms of the category of extended 2- and 3-manifolds introduced in a preprint by Walker in 1991 and prove that it satisfies the axioms of unitary topological quantum field theories formulated by Atiyah [Publ. Math.more »« less
https://doi.org/10.1063/1.532333
Differential regularization of topologically massive Yang-Mills theory and Chern-Simons theory

Journal Article Chen, W F ; Lee, H C ; Zhu, Z Y ; ... - Physical Review, D

We apply a differential renormalization method to the study of three-dimensional topologically massive Yang-Mills and Chern-Simons theories. The method is especially suitable for such theories as it avoids the need for dimensional continuation of a three-dimensional antisymmetric tensor and the Feynman rules for three-dimensional theories in coordinate space are relatively simple. The calculus involved is still lengthy but not as difficult as other existing methods of calculation. We compute one-loop propagators and vertices and derive the one-loop local effective action for topologically massive Yang-Mills theory. We then consider Chern-Simons field theory as the large mass limit of topologically massive Yang-Millsmore »« less
https://doi.org/10.1103/PhysRevD.55.3664

Similar Records