Magnetic impurity as a local probe of the $U(1)$ quantum spin liquid with spinon Fermi surface

He, Wen-Yu; Lee, Patrick A.

doi:10.1103/physrevb.105.195156

Title: Magnetic impurity as a local probe of the $U(1)$ quantum spin liquid with spinon Fermi surface

Abstract

We solve the problem of a magnetic impurity coupled to a U(1) quantum spin liquid with a spinon Fermi surface, and we compute the impurity spectral function. Using the slave rotor mean-field approach combined with gauge field fluctuations, we find that a peak located at the top of the lower Hubbard band and one at the bottom of the upper Hubbard band can emerge in the impurity spectral function. The peaks at the Hubbard band edges arise from the gauge field fluctuation-induced spinon-chargon binding inside the spinon Kondo screening cloud of the magnetic impurity. For a magnetic impurity embedded in a Mott insulator, our findings suggest that the emergence of a pair of peaks at the Hubbard band edges in the impurity density of states spectra provides strong evidence that the host Mott insulator is a U(1) quantum spin liquid with a spinon Fermi surface.

Authors:

^[1]; Lee, Patrick A. ^[2]

Shanghai Technical University (China); Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)
Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)

Publication Date:: Tue May 31 00:00:00 EDT 2022

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

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1979759

Grant/Contract Number:: FG02-03ER46076

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. B

Additional Journal Information:: Journal Volume: 105; Journal Issue: 19; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; quantum spin liquid; transition metal dichalcogenides; Anderson impurity model; Hubbard model; mean field theory

Citation Formats


                    He, Wen-Yu, and Lee, Patrick A. Magnetic impurity as a local probe of the $U(1)$ quantum spin liquid with spinon Fermi surface.  United States: N. p., 2022. 
Web.  doi:10.1103/physrevb.105.195156.

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                    He, Wen-Yu, & Lee, Patrick A. Magnetic impurity as a local probe of the $U(1)$ quantum spin liquid with spinon Fermi surface.  United States.  https://doi.org/10.1103/physrevb.105.195156

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                    He, Wen-Yu, and Lee, Patrick A. Tue .  
"Magnetic impurity as a local probe of the $U(1)$ quantum spin liquid with spinon Fermi surface".  United States.  https://doi.org/10.1103/physrevb.105.195156.  https://www.osti.gov/servlets/purl/1979759.

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@article{osti_1979759,

  title        = {Magnetic impurity as a local probe of the $U(1)$ quantum spin liquid with spinon Fermi surface},

  author       = {He, Wen-Yu and Lee, Patrick A.},

  abstractNote = {We solve the problem of a magnetic impurity coupled to a U(1) quantum spin liquid with a spinon Fermi surface, and we compute the impurity spectral function. Using the slave rotor mean-field approach combined with gauge field fluctuations, we find that a peak located at the top of the lower Hubbard band and one at the bottom of the upper Hubbard band can emerge in the impurity spectral function. The peaks at the Hubbard band edges arise from the gauge field fluctuation-induced spinon-chargon binding inside the spinon Kondo screening cloud of the magnetic impurity. For a magnetic impurity embedded in a Mott insulator, our findings suggest that the emergence of a pair of peaks at the Hubbard band edges in the impurity density of states spectra provides strong evidence that the host Mott insulator is a U(1) quantum spin liquid with a spinon Fermi surface.},

  doi          = {10.1103/physrevb.105.195156},

  journal      = {Physical Review. B},

  number       = 19,

  volume       = 105,

  place        = {United States},

  year         = {Tue May 31 00:00:00 EDT 2022},

  month        = {Tue May 31 00:00:00 EDT 2022}

}

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Title: Magnetic impurity as a local probe of the $U(1)$ quantum spin liquid with spinon Fermi surface

Abstract

Citation Formats

Distinguishing a Mott Insulator from a Trivial Insulator with Atomic Adsorbates journal, May 2021

Mottness Collapse in 1 T − TaS 2 − x Se x Transition-Metal Dichalcogenide: An Interplay between Localized and Itinerant Orbitals journal, December 2017

Unconventional superconductivity in magic-angle graphene superlattices journal, March 2018

Stability of U ( 1 ) spin liquids in two dimensions journal, December 2004

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

Magnetic impurity in a U ( 1 ) spin liquid with a spinon Fermi surface journal, June 2011

Quark confinement and topology of gauge theories journal, March 1977

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Kondo physics in the algebraic spin liquid journal, February 2008

Quantum spin liquids: a review journal, November 2016

Kondo Scattering Observed at a Single Magnetic Impurity journal, March 1998

Localized Magnetic States in Metals journal, October 1961

Quantum impurity solvers using a slave rotor representation journal, October 2002

Quantum spin liquid states journal, April 2017

Inducing and tuning Kondo screening in a narrow-electronic-band system journal, April 2022

Evidence for quantum spin liquid behaviour in single-layer 1T-TaSe2 from scanning tunnelling microscopy journal, August 2021

Local spectroscopy of a Kondo impurity: Co on Au(111) journal, October 2001

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

Doublonlike Excitations and Their Phononic Coupling in a Mott Charge-Density-Wave System journal, March 2021

Theory of Underdoped Cuprates journal, January 1996

Correlated insulator behaviour at half-filling in magic-angle graphene superlattices journal, March 2018

Kondo screening in a charge-insulating spinon metal journal, May 2019

Mottness versus unit-cell doubling as the driver of the insulating state in 1T-TaS2 journal, May 2020

Low-energy behavior of spin-liquid electron spectral functions journal, January 2013

Strong correlations and orbital texture in single-layer 1T-TaSe2 journal, January 2020

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Spinon Fermi Surface in a Cluster Mott Insulator Model on a Triangular Lattice and Possible Application to 1 T − Ta S 2 journal, July 2018

Superconductivity and strong correlations in moiré flat bands journal, May 2020

Resistance Minimum in Dilute Magnetic Alloys journal, July 1964

1T-TaS 2 as a quantum spin liquid journal, June 2017

Magnetic impurities in non-magnetic metals journal, December 1974

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

Low-energy effective theory of Fermi surface coupled with U(1) gauge field in 2 + 1 dimensions journal, October 2009

Emergent Kondo Behavior from Gauge Fluctuations in Spin Liquids journal, December 2021

A high-temperature quantum spin liquid with polaron spins journal, July 2017

Tunneling into a Single Magnetic Atom: Spectroscopic Evidence of the Kondo Resonance journal, April 1998

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Observation of the Kondo screening cloud journal, March 2020

Impurity-induced resonant spinon zero modes in Dirac quantum spin liquids journal, September 2020

Susceptibility of a spinon Fermi surface coupled to a U(1) gauge field journal, October 2007

Kondo Effect in Bosonic Spin Liquids journal, January 2006

U(1) Gauge Theory of the Hubbard Model: Spin Liquid States and Possible Application to κ − ( BEDT − TTF ) 2 Cu 2 ( CN ) 3 journal, July 2005

Distinguishing a Mott Insulator from a Trivial Insulator with Atomic Adsorbates
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Mottness Collapse in $1 T − {TaS}_{2 - x} {Se}_{x}$ Transition-Metal Dichalcogenide: An Interplay between Localized and Itinerant Orbitals
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Unconventional superconductivity in magic-angle graphene superlattices
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Stability of $U (1)$ spin liquids in two dimensions
journal, December 2004

SU(2) formulation of the $t - J$ model: Application to underdoped cuprates
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Magnetic impurity in a $U (1)$ spin liquid with a spinon Fermi surface
journal, June 2011

Quark confinement and topology of gauge theories
journal, March 1977

Theory of quantum impurities in spin liquids
journal, October 2006

Kondo physics in the algebraic spin liquid
journal, February 2008

Quantum spin liquids: a review
journal, November 2016

Kondo Scattering Observed at a Single Magnetic Impurity
journal, March 1998

Localized Magnetic States in Metals
journal, October 1961

Quantum impurity solvers using a slave rotor representation
journal, October 2002

Quantum spin liquid states
journal, April 2017

Inducing and tuning Kondo screening in a narrow-electronic-band system
journal, April 2022

Evidence for quantum spin liquid behaviour in single-layer 1T-TaSe2 from scanning tunnelling microscopy
journal, August 2021

Local spectroscopy of a Kondo impurity: Co on Au(111)
journal, October 2001

Spin and charge correlations around an Anderson magnetic impurity
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Slave-rotor mean-field theories of strongly correlated systems and the Mott transition in finite dimensions
journal, July 2004

Doublonlike Excitations and Their Phononic Coupling in a Mott Charge-Density-Wave System
journal, March 2021

Theory of Underdoped Cuprates
journal, January 1996

Correlated insulator behaviour at half-filling in magic-angle graphene superlattices
journal, March 2018

Kondo screening in a charge-insulating spinon metal
journal, May 2019

Mottness versus unit-cell doubling as the driver of the insulating state in 1T-TaS2
journal, May 2020

Low-energy behavior of spin-liquid electron spectral functions
journal, January 2013

Strong correlations and orbital texture in single-layer 1T-TaSe2
journal, January 2020

Mott Transition between a Spin-Liquid Insulator and a Metal in Three Dimensions
journal, May 2009

Spinon Fermi Surface in a Cluster Mott Insulator Model on a Triangular Lattice and Possible Application to $1 T − {Ta S}_{2}$
journal, July 2018

Superconductivity and strong correlations in moiré flat bands
journal, May 2020

Resistance Minimum in Dilute Magnetic Alloys
journal, July 1964

1T-TaS ₂ as a quantum spin liquid
journal, June 2017

Magnetic impurities in non-magnetic metals
journal, December 1974

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

Low-energy effective theory of Fermi surface coupled with U(1) gauge field in $2 + 1$ dimensions
journal, October 2009

Emergent Kondo Behavior from Gauge Fluctuations in Spin Liquids
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A high-temperature quantum spin liquid with polaron spins
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Tunneling into a Single Magnetic Atom: Spectroscopic Evidence of the Kondo Resonance
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journal, June 1996

Observation of the Kondo screening cloud
journal, March 2020

Impurity-induced resonant spinon zero modes in Dirac quantum spin liquids
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Susceptibility of a spinon Fermi surface coupled to a U(1) gauge field
journal, October 2007

Kondo Effect in Bosonic Spin Liquids
journal, January 2006

U(1) Gauge Theory of the Hubbard Model: Spin Liquid States and Possible Application to $κ − (BEDT − TTF)_{2} {Cu}_{2} (CN)_{3}$
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