Fractionalizing glide reflections in two-dimensional Z 2 topologically ordered phases

Lee, SungBin; Hermele, Michael; Parameswaran, S. A.

doi:10.1103/PhysRevB.94.125122

Title: Fractionalizing glide reflections in two-dimensional $Z_{2}$ topologically ordered phases

Authors:: Lee, SungBin; Hermele, Michael; Parameswaran, S. A.

Publication Date:: Tue Sep 13 00:00:00 EDT 2016

Sponsoring Org.:: USDOE

OSTI Identifier:: 1324371

Grant/Contract Number:: FG-02-10ER46686; SC0014415

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Name: Physical Review B Journal Volume: 94 Journal Issue: 12; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Lee, SungBin, Hermele, Michael, and Parameswaran, S. A. Fractionalizing glide reflections in two-dimensional Z 2 topologically ordered phases.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevB.94.125122.

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                    Lee, SungBin, Hermele, Michael, & Parameswaran, S. A. Fractionalizing glide reflections in two-dimensional Z 2 topologically ordered phases.  United States.  https://doi.org/10.1103/PhysRevB.94.125122

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                    Lee, SungBin, Hermele, Michael, and Parameswaran, S. A. Tue .  
"Fractionalizing glide reflections in two-dimensional Z 2 topologically ordered phases".  United States.  https://doi.org/10.1103/PhysRevB.94.125122.

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@article{osti_1324371,

  title        = {Fractionalizing glide reflections in two-dimensional Z 2 topologically ordered phases},

  author       = {Lee, SungBin and Hermele, Michael and Parameswaran, S. A.},

  abstractNote = {},

  doi          = {10.1103/PhysRevB.94.125122},

  journal      = {Physical Review B},

  number       = 12,

  volume       = 94,

  place        = {United States},

  year         = {Tue Sep 13 00:00:00 EDT 2016},

  month        = {Tue Sep 13 00:00:00 EDT 2016}

}

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Title: Fractionalizing glide reflections in two-dimensional Z 2 topologically ordered phases

Citation Formats

Statistics of the excitations of the resonating-valence-bond state journal, October 1989

Extending Luttinger’s theorem to Z 2 fractionalized phases of matter journal, December 2004

Filling constraints for spin-orbit coupled insulators in symmorphic and nonsymmorphic crystals journal, November 2015

Dual order parameter for the nodal liquid journal, July 1999

Exact Dimer Ground State and Quantized Magnetization Plateaus in the Two-Dimensional Spin System SrCu 2 ( BO 3 ) 2 journal, April 1999

Quantized topological terms in weak-coupling gauge theories with a global symmetry and their connection to symmetry-enriched topological phases journal, April 2013

Detecting crystal symmetry fractionalization from the ground state: Application to Z 2 spin liquids on the kagome lattice journal, March 2015

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

Topological Insulators from Group Cohomology journal, April 2016

Hourglass fermions journal, April 2016

Magnetization of SrCu 2 ( BO 3 ) 2 in Ultrahigh Magnetic Fields up to 118 T journal, September 2013

Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories journal, December 2001

Spectroscopic signatures of crystal momentum fractionalization journal, September 2014

Quantum orders and symmetric spin liquids journal, April 2002

Topological nonsymmorphic crystalline insulators journal, August 2014

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

Magnetostriction and magnetic texture to 100.75 Tesla in frustrated SrCu2(BO3)2 journal, July 2012

Insulator, Conductor, and Commensurability: A Topological Approach journal, June 2003

Fractionalization in an easy-axis Kagome antiferromagnet journal, May 2002

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

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

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

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

Topological order and absence of band insulators at integer filling in non-symmorphic crystals journal, April 2013

Topology of nonsymmorphic crystalline insulators and superconductors journal, May 2016

Magnetization Plateaus in Spin Chains: “Haldane Gap” for Half-Integer Spins journal, March 1997

Lieb-Schultz-Mattis in higher dimensions journal, March 2004

Resonant X-Ray Scattering from Orbital Ordering in LaMnO 3 journal, July 1998

Fractalization drives crystalline states in a frustrated spin system journal, December 2008

Exact ground state of a quantum mechanical antiferromagnet journal, August 1981

Sufficient conditions for topological order in insulators journal, June 2005

Fault-tolerant quantum computation by anyons journal, January 2003

Screw rotations and glide mirrors: Crystallography in Fourier space journal, March 1999

High-field magnetization of TmB 4 journal, November 2006

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

Magnetic frustrations in the Shastry–Sutherland system ErB4 journal, May 2006

Fractionalization, topological order, and cuprate superconductivity journal, March 2001

New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic journal, April 2015

Topological Approach to Luttinger's Theorem and the Fermi Surface of a Kondo Lattice journal, April 2000

Two soluble models of an antiferromagnetic chain journal, December 1961

Two-stage orbital order and dynamical spin frustration in KCuF3 journal, October 2011

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

Yb 2 Pt 2 Pb : Magnetic frustration in the Shastry-Sutherland lattice journal, April 2008

Magnetism of rare earth tetraborides journal, January 2010

Electronic level degeneracy in nonsymmorphic periodic or aperiodic crystals journal, December 1997

Lattice Gauge Theories: An Introduction book, March 2012

Title: Fractionalizing glide reflections in two-dimensional $Z_{2}$ topologically ordered phases

Statistics of the excitations of the resonating-valence-bond state
journal, October 1989

Extending Luttinger’s theorem to $Z_{2}$ fractionalized phases of matter
journal, December 2004

Filling constraints for spin-orbit coupled insulators in symmorphic and nonsymmorphic crystals
journal, November 2015

Dual order parameter for the nodal liquid
journal, July 1999

Exact Dimer Ground State and Quantized Magnetization Plateaus in the Two-Dimensional Spin System ${SrCu}_{2} ({BO}_{3})_{2}$
journal, April 1999

Quantized topological terms in weak-coupling gauge theories with a global symmetry and their connection to symmetry-enriched topological phases
journal, April 2013

Detecting crystal symmetry fractionalization from the ground state: Application to $Z_{2}$ spin liquids on the kagome lattice
journal, March 2015

Classifying fractionalization: Symmetry classification of gapped $Z_{2}$ spin liquids in two dimensions
journal, March 2013

Topological Insulators from Group Cohomology
journal, April 2016

Hourglass fermions
journal, April 2016

Magnetization of ${SrCu}_{2} ({BO}_{3})_{2}$ in Ultrahigh Magnetic Fields up to 118 T
journal, September 2013

Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories
journal, December 2001

Spectroscopic signatures of crystal momentum fractionalization
journal, September 2014

Quantum orders and symmetric spin liquids
journal, April 2002

Topological nonsymmorphic crystalline insulators
journal, August 2014

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

Magnetostriction and magnetic texture to 100.75 Tesla in frustrated SrCu2(BO3)2
journal, July 2012

Insulator, Conductor, and Commensurability: A Topological Approach
journal, June 2003

Fractionalization in an easy-axis Kagome antiferromagnet
journal, May 2002

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

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

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

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

Topological order and absence of band insulators at integer filling in non-symmorphic crystals
journal, April 2013

Topology of nonsymmorphic crystalline insulators and superconductors
journal, May 2016

Magnetization Plateaus in Spin Chains: “Haldane Gap” for Half-Integer Spins
journal, March 1997

Lieb-Schultz-Mattis in higher dimensions
journal, March 2004

Resonant X-Ray Scattering from Orbital Ordering in ${LaMnO}_{3}$
journal, July 1998

Fractalization drives crystalline states in a frustrated spin system
journal, December 2008

Exact ground state of a quantum mechanical antiferromagnet
journal, August 1981

Sufficient conditions for topological order in insulators
journal, June 2005

Fault-tolerant quantum computation by anyons
journal, January 2003

Screw rotations and glide mirrors: Crystallography in Fourier space
journal, March 1999

High-field magnetization of TmB ₄
journal, November 2006

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

Magnetic frustrations in the Shastry–Sutherland system ErB4
journal, May 2006

Fractionalization, topological order, and cuprate superconductivity
journal, March 2001

New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic
journal, April 2015

Topological Approach to Luttinger's Theorem and the Fermi Surface of a Kondo Lattice
journal, April 2000

Two soluble models of an antiferromagnetic chain
journal, December 1961

Two-stage orbital order and dynamical spin frustration in KCuF3
journal, October 2011

$Z_{2}$ gauge theory of electron fractionalization in strongly correlated systems
journal, September 2000

${Yb}_{2} {Pt}_{2} Pb$ : Magnetic frustration in the Shastry-Sutherland lattice
journal, April 2008

Magnetism of rare earth tetraborides
journal, January 2010

Electronic level degeneracy in nonsymmorphic periodic or aperiodic crystals
journal, December 1997

Lattice Gauge Theories: An Introduction
book, March 2012