Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators

Bergholtz, E. J.; Liu, Zhao; Trescher, M.; Moessner, R.; Udagawa, M.

doi:10.1103/PhysRevLett.114.016806

Title: Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to $C > 1$ Fractional Chern Insulators

Authors:: Bergholtz, E. J.; Liu, Zhao; Trescher, M.; Moessner, R.; Udagawa, M.

Publication Date:: Thu Jan 08 00:00:00 EST 2015

Sponsoring Org.:: USDOE

OSTI Identifier:: 1180231

Grant/Contract Number:: SC0002140; 24340076; 26400339; 24740221

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 114 Journal Issue: 1; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Bergholtz, E. J., Liu, Zhao, Trescher, M., Moessner, R., and Udagawa, M. Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevLett.114.016806.

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                    Bergholtz, E. J., Liu, Zhao, Trescher, M., Moessner, R., & Udagawa, M. Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators.  United States.  https://doi.org/10.1103/PhysRevLett.114.016806

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                    Bergholtz, E. J., Liu, Zhao, Trescher, M., Moessner, R., and Udagawa, M. Thu .  
"Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators".  United States.  https://doi.org/10.1103/PhysRevLett.114.016806.

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@article{osti_1180231,

  title        = {Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators},

  author       = {Bergholtz, E. J. and Liu, Zhao and Trescher, M. and Moessner, R. and Udagawa, M.},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.114.016806},

  journal      = {Physical Review Letters},

  number       = 1,

  volume       = 114,

  place        = {United States},

  year         = {Thu Jan 08 00:00:00 EST 2015},

  month        = {Thu Jan 08 00:00:00 EST 2015}

}

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Title: Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators

Citation Formats

Topological insulators and superconductors journal, October 2011

Dirac versus Weyl Fermions in Topological Insulators: Adler-Bell-Jackiw Anomaly in Transport Phenomena journal, December 2013

Oxide Interfaces--An Opportunity for Electronics journal, March 2010

How Universal Is the Entanglement Spectrum? journal, August 2014

Paired Hall state at half filling journal, June 1991

Topological flat band models with arbitrary Chern numbers journal, December 2012

Quantum Spin Hall Insulator State in HgTe Quantum Wells journal, November 2007

Fractional Chern Insulators in Topological Flat Bands with Higher Chern Number journal, November 2012

Flat bands with higher Chern number in pyrochlore slabs journal, December 2012

Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells journal, December 2006

Helical Fermi arcs and surface states in time-reversal invariant Weyl semimetals journal, June 2013

Gapped symmetry preserving surface state for the electron topological insulator journal, September 2013

A time-reversal invariant topological phase at the surface of a 3D topological insulator journal, September 2013

Topological nodal semimetals journal, December 2011

A topological Dirac insulator in a quantum spin Hall phase journal, April 2008

Metallic Interface Emerging at Magnetic Domain Wall of Antiferromagnetic Insulator: Fate of Extinct Weyl Electrons journal, May 2014

Topological Insulators and Topological Superconductors book, January 2013

Topological phases and the quantum spin Hall effect in three dimensions journal, May 2009

Emergent Topological Phenomena in Thin Films of Pyrochlore Iridates journal, June 2014

Quantum Phases of Vortices in Rotating Bose-Einstein Condensates journal, August 2001

Fractional Chern Insulator journal, December 2011

Interface engineering of quantum Hall effects in digital transition metal oxide heterostructures journal, September 2011

Recent developments in transport phenomena in Weyl semimetals journal, November 2013

Nonabelions in the fractional quantum hall effect journal, August 1991

Fractional quantum Hall effect in topological flat bands with Chern number two journal, November 2012

High-Temperature Fractional Quantum Hall States journal, June 2011

Extracting Excitations from Model State Entanglement journal, March 2011

Bloch Model Wave Functions and Pseudopotentials for All Fractional Chern Insulators journal, March 2013

Correlations and entanglement in flat band models with variable Chern numbers journal, October 2014

Topological phases in layered pyrochlore oxide thin films along the [111] direction journal, December 2012

Quantum Spin Hall Effect in Graphene journal, November 2005

Colloquium: Topological insulators journal, November 2010

Observation of a three-dimensional topological Dirac semimetal phase in high-mobility Cd3As2 journal, May 2014

Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi journal, January 2014

Exact Parent Hamiltonian for the Quantum Hall States in a Lattice journal, November 2010

Weyl Semimetal in a Topological Insulator Multilayer journal, September 2011

Tunable Band Topology Reflected by Fractional Quantum Hall States in Two-Dimensional Lattices journal, October 2013

Bulk-edge correspondence in (2 + 1)-dimensional Abelian topological phases journal, March 2014

Topological Insulators in Three Dimensions journal, March 2007

Series of Abelian and non-Abelian states in C > 1 fractional Chern insulators journal, May 2013

Non-Abelian Quantum Hall Effect in Topological Flat Bands journal, March 2012

Topological Nematic States and Non-Abelian Lattice Dislocations journal, August 2012

Symmetry enforced non-Abelian topological order at the surface of a topological insulator journal, April 2014

Topological flat band Models and Fractional Chern Insulators journal, September 2013

Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly" journal, October 1988

Fractional Quantum Hall Effect of Lattice Bosons Near Commensurate Flux journal, June 2012

Experimental Realization of a Three-Dimensional Dirac Semimetal journal, July 2014

Fractional quantum Hall physics in topological flat bands journal, November 2013

Topological invariants of time-reversal-invariant band structures journal, March 2007

Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase journal, September 2007

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Title: Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to $C > 1$ Fractional Chern Insulators

Topological insulators and superconductors
journal, October 2011

Dirac versus Weyl Fermions in Topological Insulators: Adler-Bell-Jackiw Anomaly in Transport Phenomena
journal, December 2013

Oxide Interfaces--An Opportunity for Electronics
journal, March 2010

How Universal Is the Entanglement Spectrum?
journal, August 2014

Paired Hall state at half filling
journal, June 1991

Topological flat band models with arbitrary Chern numbers
journal, December 2012

Quantum Spin Hall Insulator State in HgTe Quantum Wells
journal, November 2007

Fractional Chern Insulators in Topological Flat Bands with Higher Chern Number
journal, November 2012

Flat bands with higher Chern number in pyrochlore slabs
journal, December 2012

Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
journal, December 2006

Helical Fermi arcs and surface states in time-reversal invariant Weyl semimetals
journal, June 2013

Gapped symmetry preserving surface state for the electron topological insulator
journal, September 2013

A time-reversal invariant topological phase at the surface of a 3D topological insulator
journal, September 2013

Topological nodal semimetals
journal, December 2011

A topological Dirac insulator in a quantum spin Hall phase
journal, April 2008

Metallic Interface Emerging at Magnetic Domain Wall of Antiferromagnetic Insulator: Fate of Extinct Weyl Electrons
journal, May 2014

Topological Insulators and Topological Superconductors
book, January 2013

Topological phases and the quantum spin Hall effect in three dimensions
journal, May 2009

Emergent Topological Phenomena in Thin Films of Pyrochlore Iridates
journal, June 2014

Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
journal, August 2001

Fractional Chern Insulator
journal, December 2011

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journal, September 2011

Recent developments in transport phenomena in Weyl semimetals
journal, November 2013

Nonabelions in the fractional quantum hall effect
journal, August 1991

Fractional quantum Hall effect in topological flat bands with Chern number two
journal, November 2012

High-Temperature Fractional Quantum Hall States
journal, June 2011

Extracting Excitations from Model State Entanglement
journal, March 2011

Bloch Model Wave Functions and Pseudopotentials for All Fractional Chern Insulators
journal, March 2013

Correlations and entanglement in flat band models with variable Chern numbers
journal, October 2014

Topological phases in layered pyrochlore oxide thin films along the [111] direction
journal, December 2012

Quantum Spin Hall Effect in Graphene
journal, November 2005

Colloquium: Topological insulators
journal, November 2010

Observation of a three-dimensional topological Dirac semimetal phase in high-mobility Cd3As2
journal, May 2014

Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi
journal, January 2014

Exact Parent Hamiltonian for the Quantum Hall States in a Lattice
journal, November 2010

Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011

Tunable Band Topology Reflected by Fractional Quantum Hall States in Two-Dimensional Lattices
journal, October 2013

Bulk-edge correspondence in (2 + 1)-dimensional Abelian topological phases
journal, March 2014

Topological Insulators in Three Dimensions
journal, March 2007

Series of Abelian and non-Abelian states in $C > 1$ fractional Chern insulators
journal, May 2013

Non-Abelian Quantum Hall Effect in Topological Flat Bands
journal, March 2012

Topological Nematic States and Non-Abelian Lattice Dislocations
journal, August 2012

Symmetry enforced non-Abelian topological order at the surface of a topological insulator
journal, April 2014

Topological flat band Models and Fractional Chern Insulators
journal, September 2013

Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"
journal, October 1988

Fractional Quantum Hall Effect of Lattice Bosons Near Commensurate Flux
journal, June 2012

Experimental Realization of a Three-Dimensional Dirac Semimetal
journal, July 2014

Fractional quantum Hall physics in topological flat bands
journal, November 2013

Topological invariants of time-reversal-invariant band structures
journal, March 2007

Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
journal, September 2007

Hierarchy of Fractional Chern Insulators and Competing Compressible States
journal, September 2013

Nearly flat band with Chern number $C = 2$ on the dice lattice
journal, December 2011

Emergent many-body translational symmetries of Abelian and non-Abelian fractionally filled topological insulators
journal, February 2012

One-dimensional topologically protected modes in topological insulators with lattice dislocations
journal, March 2009

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
journal, May 2011

Enhancing the stability of a fractional Chern insulator against competing phases
journal, November 2012