Z2 spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice

Lu, Yuan-Ming; Ran, Ying

doi:10.1103/PhysRevB.84.024420

Title: Z₂ spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice

Authors:: Lu, Yuan-Ming; Ran, Ying

Publication Date:: Fri Jul 15 00:00:00 EDT 2011

Sponsoring Org.:: USDOE

OSTI Identifier:: 1099786

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review. B, Condensed Matter and Materials Physics

Additional Journal Information:: Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Volume: 84 Journal Issue: 2; Journal ID: ISSN 1098-0121

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Lu, Yuan-Ming, and Ran, Ying. Z2 spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice.  United States: N. p., 2011. 
Web.  doi:10.1103/PhysRevB.84.024420.

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                    Lu, Yuan-Ming, & Ran, Ying. Z2 spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice.  United States.  https://doi.org/10.1103/PhysRevB.84.024420

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                    Lu, Yuan-Ming, and Ran, Ying. Fri .  
"Z2 spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice".  United States.  https://doi.org/10.1103/PhysRevB.84.024420.

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@article{osti_1099786,

  title        = {Z2 spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice},

  author       = {Lu, Yuan-Ming and Ran, Ying},

  abstractNote = {},

  doi          = {10.1103/PhysRevB.84.024420},

  journal      = {Physical Review. B, Condensed Matter and Materials Physics},

  number       = 2,

  volume       = 84,

  place        = {United States},

  year         = {Fri Jul 15 00:00:00 EDT 2011},

  month        = {Fri Jul 15 00:00:00 EDT 2011}

}

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Title: Z2 spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice

Citation Formats

Anyons in an exactly solved model and beyond journal, January 2006

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

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

Duality in Generalized Ising Models and Phase Transitions without Local Order Parameters journal, October 1971

Physics of projected wavefunctions journal, January 1989

SU(2) formulation of the t − J model: Application to underdoped cuprates journal, March 1998

Critical behavior in (2+1)-dimensional QCD journal, February 1990

Quark confinement and topology of gauge theories journal, March 1977

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

Fractionalization, Topological Order, and Quasiparticle Statistics journal, February 2006

Quantum orders and symmetric spin liquids journal, April 2002

An investigation of the quantum J 1 - J 2 - J 3 model on the honeycomb lattice journal, March 2001

Ordering in Cs 2 Cu Cl 4 : Possibility of a proximate spin liquid journal, November 2005

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

t U expansion for the Hubbard model journal, June 1988

Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices journal, August 2003

Resonating Valence Bond Phase in the Triangular Lattice Quantum Dimer Model journal, February 2001

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

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Quantum spin liquid emerging in two-dimensional correlated Dirac fermions journal, April 2010

Antiferromagnetic correlations in almost-localized Fermi liquids journal, July 1987

Ultraviolet Behavior of Non-Abelian Gauge Theories journal, June 1973

Quantal Phase Factors Accompanying Adiabatic Changes journal, March 1984

Slave-rotor mean-field theories of strongly correlated systems and the Mott transition in finite dimensions journal, July 2004

Reliable Perturbative Results for Strong Interactions? journal, June 1973

Theory of Underdoped Cuprates journal, January 1996

Quantum spin liquid in the spin- 1 ∕ 2 triangular antiferromagnet Et Me 3 Sb [ Pd ( dmit ) 2 ] 2 journal, March 2008

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

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Resonating valence bonds: A new kind of insulator? journal, February 1973

Majorana Liquids: The Complete Fractionalization of the Electron journal, July 2010

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

STM study of the structure and phases of Pb on Ge(111) journal, June 1993

Superconductors are topologically ordered journal, October 2004

Deconfined Quantum Critical Points journal, March 2004

Non-simple magnetic order for simple Hamiltonians journal, July 1979

Universal magnetic properties of frustrated quantum antiferromagnets in two dimensions journal, March 1994

On the correspondence between fermionic number and statistics of solitons journal, October 2001

A Mott insulator of fermionic atoms in an optical lattice journal, September 2008

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

Spin Liquid State in an Organic Mott Insulator with a Triangular Lattice journal, September 2003

Schwinger boson mean field theories of spin liquid states on a honeycomb lattice: Projective symmetry group analysis and critical field theory journal, July 2010

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Title: Z₂ spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice

Anyons in an exactly solved model and beyond
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SU(2) gauge symmetry of the large- $U$ limit of the Hubbard model
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Topological Spin Hall States, Charged Skyrmions, and Superconductivity in Two Dimensions
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Duality in Generalized Ising Models and Phase Transitions without Local Order Parameters
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Physics of projected wavefunctions
journal, January 1989

SU(2) formulation of the $t - J$ model: Application to underdoped cuprates
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Critical behavior in (2+1)-dimensional QCD
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Quark confinement and topology of gauge theories
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Variational study of triangular lattice spin- $1 ∕ 2$ model with ring exchanges and spin liquid state in $κ − {(ET)}_{2} {Cu}_{2} {(CN)}_{3}$
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Mutual Chern-Simons theory for $Z_{2}$ topological order
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journal, February 2006

Quantum orders and symmetric spin liquids
journal, April 2002

An investigation of the quantum J 1 - J 2 - J 3 model on the honeycomb lattice
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An introduction to lattice gauge theory and spin systems
journal, October 1979

$\frac{t}{U}$ expansion for the Hubbard model
journal, June 1988

Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
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Resonating Valence Bond Phase in the Triangular Lattice Quantum Dimer Model
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The resonating valence bond state and high-Tc superconductivity — A mean field theory
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Quantum phase transitions in frustrated quantum antiferromagnets
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Highly Mobile Gapless Excitations in a Two-Dimensional Candidate Quantum Spin Liquid
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Ultraviolet Behavior of Non-Abelian Gauge Theories
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Quantal Phase Factors Accompanying Adiabatic Changes
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Slave-rotor mean-field theories of strongly correlated systems and the Mott transition in finite dimensions
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Reliable Perturbative Results for Strong Interactions?
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Theory of Underdoped Cuprates
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journal, March 2004

Non-simple magnetic order for simple Hamiltonians
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