Spectroscopy of Spinons in Coulomb Quantum Spin Liquids

Morampudi, Siddhardh C.; Wilczek, Frank; Laumann, Chris R.

doi:10.1103/PhysRevLett.124.097204

Title: Spectroscopy of Spinons in Coulomb Quantum Spin Liquids

Abstract

We calculate the effect of the emergent photon on threshold production of spinons in U(1) Coulomb spin liquids such as quantum spin ice. The emergent Coulomb interaction modifies the threshold production cross-section dramatically, changing the weak turn-on expected from the density of states to an abrupt onset reflecting the basic coupling parameters. The slow photon typical in existing lattice models and materials suppresses the intensity at finite momentum and allows profuse Cerenkov radiation beyond a critical momentum. Furthermore, these features are broadly consistent with recent numerical and experimental results.

Authors:

^[1]; Wilczek, Frank ^[2]; Laumann, Chris R. ^[1]

Boston Univ., MA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); T. D. Lee Inst., Shanghai (China); Shanghai Jiao Tong Univ. (China); Stockholm Univ. (Sweden); Arizona State Univ., Tempe, AZ (United States)

Publication Date:: 2020-03-06

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Fusion Energy Sciences (FES); European Research Council (ERC); Swedish Research Council (SRC); National Science Foundation (NSF)

OSTI Identifier:: 1635007

Alternate Identifier(s):: OSTI ID: 1603727

Grant/Contract Number:: SC0012567; 742104; 335-2014-7424; PHY-1752727

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 124; Journal Issue: 9; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; nonperturbative effects in field theory; quantum electrodynamics; quantum spin liquid; spin dynamics; spin ice; diagrammatic methods

Citation Formats


                    Morampudi, Siddhardh C., Wilczek, Frank, and Laumann, Chris R. Spectroscopy of Spinons in Coulomb Quantum Spin Liquids.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevLett.124.097204.

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                    Morampudi, Siddhardh C., Wilczek, Frank, & Laumann, Chris R. Spectroscopy of Spinons in Coulomb Quantum Spin Liquids.  United States.  https://doi.org/10.1103/PhysRevLett.124.097204

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                    Morampudi, Siddhardh C., Wilczek, Frank, and Laumann, Chris R. Fri .  
"Spectroscopy of Spinons in Coulomb Quantum Spin Liquids".  United States.  https://doi.org/10.1103/PhysRevLett.124.097204.  https://www.osti.gov/servlets/purl/1635007.

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@article{osti_1635007,

  title        = {Spectroscopy of Spinons in Coulomb Quantum Spin Liquids},

  author       = {Morampudi, Siddhardh C. and Wilczek, Frank and Laumann, Chris R.},

  abstractNote = {We calculate the effect of the emergent photon on threshold production of spinons in U(1) Coulomb spin liquids such as quantum spin ice. The emergent Coulomb interaction modifies the threshold production cross-section dramatically, changing the weak turn-on expected from the density of states to an abrupt onset reflecting the basic coupling parameters. The slow photon typical in existing lattice models and materials suppresses the intensity at finite momentum and allows profuse Cerenkov radiation beyond a critical momentum. Furthermore, these features are broadly consistent with recent numerical and experimental results.},

  doi          = {10.1103/PhysRevLett.124.097204},

  journal      = {Physical Review Letters},

  number       = 9,

  volume       = 124,

  place        = {United States},

  year         = {2020},

  month        = {3}

}

Copy to clipboard

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Nature Physics
DOI: 10.1038/s41567-020-0827-7

A quantum liquid of magnetic octupoles on the pyrochlore lattice
text, January 2019

Sibille, Romain; Gauthier, Nicolas; Lhotel, Elsa
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Title: Spectroscopy of Spinons in Coulomb Quantum Spin Liquids

Abstract

Citation Formats

Coulombic Quantum Liquids in Spin- 1 / 2 Pyrochlores journal, January 2012

Spinon Walk in Quantum Spin Ice journal, April 2016

Spin liquids in frustrated magnets journal, March 2010

Hydrogenic states of monopoles in diluted quantum spin ice journal, September 2015

Spin Ice, Fractionalization, and Topological Order journal, March 2012

Unusual Liquid State of Hard-Core Bosons on the Pyrochlore Lattice journal, January 2008

Spectrum of Itinerant Fractional Excitations in Quantum Spin Ice journal, March 2019

Pyrochlore photons: The U ( 1 ) spin liquid in a S = 1 2 three-dimensional frustrated magnet journal, February 2004

Discovery of Emergent Photon and Monopoles in a Quantum Spin Liquid journal, June 2018

Quantum spin liquids: a review journal, November 2016

Quantum Excitations in Quantum Spin Ice journal, October 2011

Artificial light and quantum order in systems of screened dipoles journal, September 2003

Quantum Spin-Ice and Dimer Models with Rydberg Atoms journal, November 2014

Numerical Evidence of Quantum Melting of Spin Ice: Quantum-to-Classical Crossover journal, August 2015

On the Behavior of Cross Sections Near Thresholds journal, May 1948

Coulomb and Liquid Dimer Models in Three Dimensions journal, October 2003

Low-energy electrodynamics of novel spin excitations in the quantum spin ice Yb2Ti2O7 journal, September 2014

Three-dimensional resonating-valence-bond liquids and their excitations journal, November 2003

Seeing the light: Experimental signatures of emergent electromagnetism in a quantum spin ice journal, August 2012

Dirac's Equation and the Spin-Spin Interactions of Two Electrons journal, February 1932

Quantum fluctuations in the effective pseudospin- 1 2 model for magnetic pyrochlore oxides journal, March 2011

Dynamics of Topological Excitations in a Model Quantum Spin Ice journal, April 2018

Spectral periodicity of the spinon continuum in quantum spin ice journal, August 2017

Quasiparticle Breakdown and Spin Hamiltonian of the Frustrated Quantum Pyrochlore Yb 2 Ti 2 O 7 in a Magnetic Field journal, August 2017

Magnetic monopole dynamics in spin ice journal, April 2011

A Field Guide to Spin Liquids journal, March 2019

Antiferroquadrupolar correlations in the quantum spin ice candidate Pr 2 Zr 2 O 7 journal, October 2016

Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories journal, July 2013

Physical properties of the candidate quantum spin-ice system Pr 2 Hf 2 O 7 journal, October 2016

Über die Beugung und Bremsung der Elektronen journal, January 1931

Quantum spin ice: a search for gapless quantum spin liquids in pyrochlore magnets journal, May 2014

Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb2Ti2O7 journal, January 2012

Experimental signatures of emergent quantum electrodynamics in Pr2Hf2O7 journal, April 2018

Statistics of Fractionalized Excitations through Threshold Spectroscopy journal, May 2017

Quantum fluctuations in spin-ice-like Pr2Zr2O7 journal, June 2013

The Resonating Valence Bond State in La2CuO4 and Superconductivity journal, March 1987

Exotic Order in Simple Models of Bosonic Systems journal, December 2002

Quantum Ice: A Quantum Monte Carlo Study journal, February 2012

Spin Ice, Fractionalization and Topological Order text, January 2011

Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories text, January 2013

Numerical evidence of quantum melting of spin ice: quantum-classical crossover text, January 2014

Spinon walk in quantum spin ice text, January 2015

Statistics of fractionalized excitations through threshold spectroscopy text, January 2016

Dynamics of Topological Excitations in a Model Quantum Spin Ice text, January 2017

Discovery of Emergent Photon and Monopoles in a Quantum Spin Liquid text, January 2018

A Field Guide to Spin Liquids text, January 2018

Spectrum of itinerant fractional excitations in quantum spin ice text, January 2018

Artificial light and quantum order in systems of screened dipoles text, January 2002

Three dimensional resonating valence bond liquids and their excitations text, January 2003

A quantum liquid of magnetic octupoles on the pyrochlore lattice journal, March 2020

A quantum liquid of magnetic octupoles on the pyrochlore lattice text, January 2019

Coulombic Quantum Liquids in Spin- $1 / 2$ Pyrochlores
journal, January 2012

Spinon Walk in Quantum Spin Ice
journal, April 2016

Spin liquids in frustrated magnets
journal, March 2010

Hydrogenic states of monopoles in diluted quantum spin ice
journal, September 2015

Spin Ice, Fractionalization, and Topological Order
journal, March 2012

Unusual Liquid State of Hard-Core Bosons on the Pyrochlore Lattice
journal, January 2008

Spectrum of Itinerant Fractional Excitations in Quantum Spin Ice
journal, March 2019

Pyrochlore photons: The $U (1)$ spin liquid in a $S = \frac{1}{2}$ three-dimensional frustrated magnet
journal, February 2004

Discovery of Emergent Photon and Monopoles in a Quantum Spin Liquid
journal, June 2018

Quantum spin liquids: a review
journal, November 2016

Quantum Excitations in Quantum Spin Ice
journal, October 2011

Artificial light and quantum order in systems of screened dipoles
journal, September 2003

Quantum Spin-Ice and Dimer Models with Rydberg Atoms
journal, November 2014

Numerical Evidence of Quantum Melting of Spin Ice: Quantum-to-Classical Crossover
journal, August 2015

On the Behavior of Cross Sections Near Thresholds
journal, May 1948

Coulomb and Liquid Dimer Models in Three Dimensions
journal, October 2003

Low-energy electrodynamics of novel spin excitations in the quantum spin ice Yb2Ti2O7
journal, September 2014

Three-dimensional resonating-valence-bond liquids and their excitations
journal, November 2003

Seeing the light: Experimental signatures of emergent electromagnetism in a quantum spin ice
journal, August 2012

Dirac's Equation and the Spin-Spin Interactions of Two Electrons
journal, February 1932

Quantum fluctuations in the effective pseudospin- $\frac{1}{2}$ model for magnetic pyrochlore oxides
journal, March 2011

Dynamics of Topological Excitations in a Model Quantum Spin Ice
journal, April 2018

Spectral periodicity of the spinon continuum in quantum spin ice
journal, August 2017

Quasiparticle Breakdown and Spin Hamiltonian of the Frustrated Quantum Pyrochlore ${Yb}_{2} {Ti}_{2} O_{7}$ in a Magnetic Field
journal, August 2017

Magnetic monopole dynamics in spin ice
journal, April 2011

A Field Guide to Spin Liquids
journal, March 2019

Antiferroquadrupolar correlations in the quantum spin ice candidate $\Pr_{2} {Zr}_{2} O_{7}$
journal, October 2016

Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories
journal, July 2013

Physical properties of the candidate quantum spin-ice system $\Pr_{2} {Hf}_{2} O_{7}$
journal, October 2016

Über die Beugung und Bremsung der Elektronen
journal, January 1931

Quantum spin ice: a search for gapless quantum spin liquids in pyrochlore magnets
journal, May 2014

Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb2Ti2O7
journal, January 2012

Experimental signatures of emergent quantum electrodynamics in Pr2Hf2O7
journal, April 2018

Statistics of Fractionalized Excitations through Threshold Spectroscopy
journal, May 2017

Quantum fluctuations in spin-ice-like Pr2Zr2O7
journal, June 2013

The Resonating Valence Bond State in La2CuO4 and Superconductivity
journal, March 1987

Exotic Order in Simple Models of Bosonic Systems
journal, December 2002

Quantum Ice: A Quantum Monte Carlo Study
journal, February 2012

Spin Ice, Fractionalization and Topological Order
text, January 2011

Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
text, January 2013

Numerical evidence of quantum melting of spin ice: quantum-classical crossover
text, January 2014

Spinon walk in quantum spin ice
text, January 2015

Statistics of fractionalized excitations through threshold spectroscopy
text, January 2016

Dynamics of Topological Excitations in a Model Quantum Spin Ice
text, January 2017

Discovery of Emergent Photon and Monopoles in a Quantum Spin Liquid
text, January 2018

A Field Guide to Spin Liquids
text, January 2018

Spectrum of itinerant fractional excitations in quantum spin ice
text, January 2018

Artificial light and quantum order in systems of screened dipoles
text, January 2002

Three dimensional resonating valence bond liquids and their excitations
text, January 2003

A quantum liquid of magnetic octupoles on the pyrochlore lattice
journal, March 2020

A quantum liquid of magnetic octupoles on the pyrochlore lattice
text, January 2019