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Title: Unification of bosonic and fermionic theories of spin liquids on the kagome lattice

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1410473
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 96 Journal Issue: 20; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Lu, Yuan-Ming, Cho, Gil Young, and Vishwanath, Ashvin. Unification of bosonic and fermionic theories of spin liquids on the kagome lattice. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.205150.
Lu, Yuan-Ming, Cho, Gil Young, & Vishwanath, Ashvin. Unification of bosonic and fermionic theories of spin liquids on the kagome lattice. United States. doi:10.1103/PhysRevB.96.205150.
Lu, Yuan-Ming, Cho, Gil Young, and Vishwanath, Ashvin. Tue . "Unification of bosonic and fermionic theories of spin liquids on the kagome lattice". United States. doi:10.1103/PhysRevB.96.205150.
@article{osti_1410473,
title = {Unification of bosonic and fermionic theories of spin liquids on the kagome lattice},
author = {Lu, Yuan-Ming and Cho, Gil Young and Vishwanath, Ashvin},
abstractNote = {},
doi = {10.1103/PhysRevB.96.205150},
journal = {Physical Review B},
number = 20,
volume = 96,
place = {United States},
year = {2017},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevB.96.205150

Citation Metrics:
Cited by: 5 works
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Works referenced in this record:

Variational study of J 1 - J 2 Heisenberg model on kagome lattice using projected Schwinger-boson wave functions
journal, July 2011


Topological insulators and superconductors
journal, October 2011


Gapless edge states of background field theory and translation-symmetric Z 2 spin liquids
journal, September 2012


Classifying fractionalization: Symmetry classification of gapped Z 2 spin liquids in two dimensions
journal, March 2013


Competing orders, nonlinear sigma models, and topological terms in quantum magnets
journal, August 2006


Quark confinement and topology of gauge theories
journal, March 1977


Mutual Chern-Simons theory for Z 2 topological order
journal, October 2008


Quantum spin liquids: a review
journal, November 2016


Quantum orders and symmetric spin liquids
journal, April 2002


Classification of symmetry enriched topological phases with exactly solvable models
journal, April 2013


Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet
journal, April 2011


Identifying topological order by entanglement entropy
journal, November 2012

  • Jiang, Hong-Chen; Wang, Zhenghan; Balents, Leon
  • Nature Physics, Vol. 8, Issue 12
  • DOI: 10.1038/nphys2465

Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures
journal, January 1997


Symmetry protected topological orders and the group cohomology of their symmetry group
journal, April 2013


Spontaneous alignment of frustrated bonds in an anisotropic, three-dimensional Ising model
journal, July 1991


Renormalization group analysis of competing quantum phases in the J 1 - J 2 Heisenberg model on the kagome lattice
journal, January 2014


Vanishing spin gap in a competing spin-liquid phase in the kagome Heisenberg antiferromagnet
journal, January 2014


Projected wave function study of Z 2 spin liquids on the kagome lattice for the spin- 1 2 quantum Heisenberg antiferromagnet
journal, July 2011


Separation of spin and charge quantum numbers in strongly correlated systems
journal, February 1994


Frustrated Resonating Valence Bond States in Two Dimensions: Classification and Short-Range Correlations
journal, October 2012


Detecting Topological Order in a Ground State Wave Function
journal, March 2006


K matrix construction of symmetry-enriched phases of matter
journal, May 2013


Topological Entanglement Entropy
journal, March 2006


Disclinations, dislocations, and continuous defects: A reappraisal
journal, January 2008


Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
journal, October 2004


Colloquium : Herbertsmithite and the search for the quantum spin liquid
journal, December 2016


Evidence for a gapped spin-liquid ground state in a kagome Heisenberg antiferromagnet
journal, November 2015


Models for Gapped Boundaries and Domain Walls
journal, June 2012


Large- N expansion for frustrated quantum antiferromagnets
journal, April 1991


Periodic table for topological insulators and superconductors
conference, January 2009

  • Kitaev, Alexei; Lebedev, Vladimir; Feigel’man, Mikhail
  • ADVANCES IN THEORETICAL PHYSICS: Landau Memorial Conference, AIP Conference Proceedings
  • DOI: 10.1063/1.3149495

Spin-liquid states on the triangular and Kagomé lattices: A projective-symmetry-group analysis of Schwinger boson states
journal, November 2006


Tensor-product state approach to spin- 1 2 square J 1 J 2 antiferromagnetic Heisenberg model: Evidence for deconfined quantum criticality
journal, August 2016


Spin-Charge Separated Solitons in a Topological Band Insulator
journal, August 2008


Z 2 gauge theory of electron fractionalization in strongly correlated systems
journal, September 2000


Global aspects of current algebra
journal, August 1983


Spin Dynamics of the Spin- 1 / 2 Kagome Lattice Antiferromagnet ZnCu 3 ( OH ) 6 Cl 2
journal, March 2007


Theta-terms in nonlinear sigma-models
journal, March 2000


Translation-symmetry-protected topological orders in quantum spin systems
journal, December 2009


Quantum kagome frustrated antiferromagnets: One route to quantum spin liquids
journal, March 2016


Consequences of anomalous ward identities
journal, November 1971


Symmetry fractionalization and twist defects
journal, March 2016


SU(2) gauge symmetry of the large- U limit of the Hubbard model
journal, July 1988


Vison states and confinement transitions of Z 2 spin liquids on the kagome lattice
journal, September 2011


Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
journal, May 1983


Direct evidence for a gapless Z 2 spin liquid by frustrating Néel antiferromagnetism
journal, August 2013


Physics of projected wavefunctions
journal, January 1989


Topological Spin Hall States, Charged Skyrmions, and Superconductivity in Two Dimensions
journal, April 2008


Z 2 spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice
journal, July 2011


Topological classification with additional symmetries from Clifford algebras
journal, September 2013


Dirac structure, RVB, and Goldstone modes in the kagomé antiferromagnet
journal, December 2000


An introduction to lattice gauge theory and spin systems
journal, October 1979


Projected-Wave-Function Study of the Spin- 1 / 2 Heisenberg Model on the Kagomé Lattice
journal, March 2007


Mean-field theory of spin-liquid states with finite energy gap and topological orders
journal, August 1991


The resonating valence bond state and high-Tc superconductivity — A mean field theory
journal, September 1987


Colloquium: Topological insulators
journal, November 2010


Masses in graphenelike two-dimensional electronic systems: Topological defects in order parameters and their fractional exchange statistics
journal, November 2009


Spin liquid ground state of the spin- 1 2 square J 1 - J 2 Heisenberg model
journal, July 2012


Quantum phase transitions in frustrated quantum antiferromagnets
journal, September 1994


Large- n limit of the Heisenberg-Hubbard model: Implications for high- T c superconductors
journal, March 1988


Gapless spin-liquid phase in the kagome spin- 1 2 Heisenberg antiferromagnet
journal, February 2013


Properties of an algebraic spin liquid on the kagome lattice
journal, June 2008


Classification of topological insulators and superconductors in three spatial dimensions
journal, November 2008


Functional integral theories of low-dimensional quantum Heisenberg models
journal, July 1988


Fault-tolerant quantum computation by anyons
journal, January 2003


Dislocations and Disclinations in Material Structures: The Basic Topological Concepts
journal, August 1975


Twisted quantum double model of topological phases in two dimensions
journal, March 2013


Doping a Mott insulator: Physics of high-temperature superconductivity
journal, January 2006

  • Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang
  • Reviews of Modern Physics, Vol. 78, Issue 1
  • DOI: 10.1103/RevModPhys.78.17

Classification of topological insulators and superconductors in the presence of reflection symmetry
journal, August 2013


Three-Dimensional Topological Insulators
journal, March 2011


Nature of the Spin-Liquid Ground State of the S = 1 / 2 Heisenberg Model on the Kagome Lattice
journal, August 2012