Local quantum criticality of a one-dimensional Kondo insulator model

Zhu, Wei; Zhu, Jian -Xin

doi:10.1103/PhysRevB.97.245119

Title: Local quantum criticality of a one-dimensional Kondo insulator model

Abstract

Here, the continuous quantum phase transition and the nature of the quantum critical point (QCP) in a modified Kondo lattice model with Ising anisotropic exchange interactions are studied within the density-matrix renormalization group algorithm. We investigate the effect of quantum fluctuations on critical Kondo destruction QCP by probing static and dynamic properties of the magnetic order and the Kondo effect. In particular, we identify that local Kondo physics itself becomes critical at the magnetic phase transition point, providing unbiased evidences for local quantum criticality between two insulators without involving the Fermi surface.

Authors:

^[1];

^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: Wed Jun 13 00:00:00 EDT 2018

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Laboratory Directed Research and Development (LDRD) Program

OSTI Identifier:: 1477724

Alternate Identifier(s):: OSTI ID: 1454350

Report Number(s):: LA-UR-18-20364
Journal ID: ISSN 2469-9950; PRBMDO

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 97; Journal Issue: 24; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Material Science

Citation Formats


                    Zhu, Wei, and Zhu, Jian -Xin. Local quantum criticality of a one-dimensional Kondo insulator model.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevB.97.245119.

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                    Zhu, Wei, & Zhu, Jian -Xin. Local quantum criticality of a one-dimensional Kondo insulator model.  United States.  https://doi.org/10.1103/PhysRevB.97.245119

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                    Zhu, Wei, and Zhu, Jian -Xin. Wed .  
"Local quantum criticality of a one-dimensional Kondo insulator model".  United States.  https://doi.org/10.1103/PhysRevB.97.245119.  https://www.osti.gov/servlets/purl/1477724.

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@article{osti_1477724,

  title        = {Local quantum criticality of a one-dimensional Kondo insulator model},

  author       = {Zhu, Wei and Zhu, Jian -Xin},

  abstractNote = {Here, the continuous quantum phase transition and the nature of the quantum critical point (QCP) in a modified Kondo lattice model with Ising anisotropic exchange interactions are studied within the density-matrix renormalization group algorithm. We investigate the effect of quantum fluctuations on critical Kondo destruction QCP by probing static and dynamic properties of the magnetic order and the Kondo effect. In particular, we identify that local Kondo physics itself becomes critical at the magnetic phase transition point, providing unbiased evidences for local quantum criticality between two insulators without involving the Fermi surface.},

  doi          = {10.1103/PhysRevB.97.245119},

  journal      = {Physical Review B},

  number       = 24,

  volume       = 97,

  place        = {United States},

  year         = {Wed Jun 13 00:00:00 EDT 2018},

  month        = {Wed Jun 13 00:00:00 EDT 2018}

}

Copy to clipboard

Journal Article:

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https://doi.org/10.1103/PhysRevB.97.245119

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Cited by: 2 works

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Figures / Tables:

FIG. 1: (Top) One-dimensional Kondo lattice model with an Ising-type interaction between nearest neighbor localized spins. Red dots and blue squares represent the conduction electrons and localized spins, respectively. (Bottom) The global phase diagram as a function of $J$_$z$ and $J$_$K$ , by setting $t$ = 0.25 (Bandwidth of conductionmore »

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Similar Records

Title: Local quantum criticality of a one-dimensional Kondo insulator model

Abstract

Citation Formats

Figures / Tables:

Quantum critical phenomena journal, August 1976

Spin-liquid ground state of the half-filled Kondo lattice in one dimension journal, August 1992

The one-dimensional Kondo lattice model studied by the density matrix renormalization group method journal, January 1999

Numerical renormalization group study of the one-dimensional Kondo insulator journal, December 1993

Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice journal, May 2007

Non-Fermi-liquid behavior in d - and f -electron metals journal, October 2001

Fermi surface of the one-dimensional Kondo-lattice model journal, November 1996

Dynamical correlation functions using the density matrix renormalization group journal, July 1999

Zero-Temperature Magnetic Transition in an Easy-Axis Kondo Lattice Model journal, November 2007

Magnetic Quantum Phase Transition in an Anisotropic Kondo Lattice journal, November 2007

Local Electronic Structure and Fano Interference in Tunneling into a Kondo Hole System journal, April 2012

Ferromagnetism of the one-dimensional Kondo-lattice model: A quantum Monte Carlo study journal, February 1993

Heavy-fermion systems journal, October 1984

Semiclassical solution of one dimensional model of Kondo insulator journal, February 1994

Kondo Stripes in an Anderson-Heisenberg Model of Heavy Fermion Systems journal, June 2008

Fermi-liquid instabilities at magnetic quantum phase transitions journal, August 2007

The ground-state phase diagram of the one-dimensional Kondo lattice model journal, July 1997

Extended Dynamical Mean Field Theory Study of the Periodic Anderson Model journal, July 2003

Locally critical quantum phase transitions in strongly correlated metals journal, October 2001

Dynamical density-matrix renormalization-group method journal, July 2002

Dynamical Correlation Functions of One-Dimensional Anisotropic Heisenberg Model with Spin 1/2. I: Ising-Like Antiferromagnets journal, March 1980

Small Fermi surface in the one-dimensional Kondo lattice model journal, May 2002

Magnetic Order in the Heavy Fermion Compound CeCu 6 at mK Temperatures journal, June 2000

Kondo physics and dissipation: A numerical renormalization-group approach to Bose-Fermi Kondo models journal, March 2007

Spin and charge gaps in the one-dimensional Kondo-lattice model with Coulomb interaction between conduction electrons journal, April 1996

Weak magnetism and non-Fermi liquids near heavy-fermion critical points journal, January 2004

Density matrix formulation for quantum renormalization groups journal, November 1992

Addendum: Non-Fermi-liquid behavior in d - and f -electron metals journal, July 2006

Frustration and the Kondo Effect in Heavy Fermion Materials journal, September 2010

The Kondo lattice and weak antiferromagnetism journal, July 1977

Phase diagram of the one-dimensional Kondo-lattice model journal, April 1993

Quantum criticality in heavy-fermion metals journal, March 2008

Locally Critical Point in an Anisotropic Kondo Lattice journal, July 2003

Continuous Quantum Phase Transition in a Kondo Lattice Model journal, October 2003

Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice journal, January 2007

Heavy fermion behavior in the quasi-one-dimensional Kondo lattice CeCo2Ga8 journal, July 2017

Coulomb gas approach to the anisotropic one-dimensional Kondo lattice model at arbitrary filling journal, November 2002

Effect of a nonzero temperature on quantum critical points in itinerant fermion systems journal, September 1993

Fractionalized Fermi Liquids journal, May 2003

Magnetic quantum phase transitions in Kondo lattices journal, September 2005

Mixed-valence compounds journal, April 1976

One-dimensional Kondo lattice model studied through numerical diagonalization journal, February 2008

Quantum critical phenomena
journal, August 1976

Spin-liquid ground state of the half-filled Kondo lattice in one dimension
journal, August 1992

The one-dimensional Kondo lattice model studied by the density matrix renormalization group method
journal, January 1999

Numerical renormalization group study of the one-dimensional Kondo insulator
journal, December 1993

Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
journal, May 2007

Non-Fermi-liquid behavior in $d$ - and $f$ -electron metals
journal, October 2001

Fermi surface of the one-dimensional Kondo-lattice model
journal, November 1996

Dynamical correlation functions using the density matrix renormalization group
journal, July 1999

Zero-Temperature Magnetic Transition in an Easy-Axis Kondo Lattice Model
journal, November 2007

Magnetic Quantum Phase Transition in an Anisotropic Kondo Lattice
journal, November 2007

Local Electronic Structure and Fano Interference in Tunneling into a Kondo Hole System
journal, April 2012

Ferromagnetism of the one-dimensional Kondo-lattice model: A quantum Monte Carlo study
journal, February 1993

Heavy-fermion systems
journal, October 1984

Semiclassical solution of one dimensional model of Kondo insulator
journal, February 1994

Kondo Stripes in an Anderson-Heisenberg Model of Heavy Fermion Systems
journal, June 2008

Fermi-liquid instabilities at magnetic quantum phase transitions
journal, August 2007

The ground-state phase diagram of the one-dimensional Kondo lattice model
journal, July 1997

Extended Dynamical Mean Field Theory Study of the Periodic Anderson Model
journal, July 2003

Locally critical quantum phase transitions in strongly correlated metals
journal, October 2001

Dynamical density-matrix renormalization-group method
journal, July 2002

Dynamical Correlation Functions of One-Dimensional Anisotropic Heisenberg Model with Spin 1/2. I: Ising-Like Antiferromagnets
journal, March 1980

Small Fermi surface in the one-dimensional Kondo lattice model
journal, May 2002

Magnetic Order in the Heavy Fermion Compound ${CeCu}_{6}$ at mK Temperatures
journal, June 2000

Kondo physics and dissipation: A numerical renormalization-group approach to Bose-Fermi Kondo models
journal, March 2007

Spin and charge gaps in the one-dimensional Kondo-lattice model with Coulomb interaction between conduction electrons
journal, April 1996

Weak magnetism and non-Fermi liquids near heavy-fermion critical points
journal, January 2004

Density matrix formulation for quantum renormalization groups
journal, November 1992

Addendum: Non-Fermi-liquid behavior in $d$ - and $f$ -electron metals
journal, July 2006

Frustration and the Kondo Effect in Heavy Fermion Materials
journal, September 2010

The Kondo lattice and weak antiferromagnetism
journal, July 1977

Phase diagram of the one-dimensional Kondo-lattice model
journal, April 1993

Quantum criticality in heavy-fermion metals
journal, March 2008

Locally Critical Point in an Anisotropic Kondo Lattice
journal, July 2003

Continuous Quantum Phase Transition in a Kondo Lattice Model
journal, October 2003

Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice
journal, January 2007

Heavy fermion behavior in the quasi-one-dimensional Kondo lattice CeCo2Ga8
journal, July 2017

Coulomb gas approach to the anisotropic one-dimensional Kondo lattice model at arbitrary filling
journal, November 2002

Effect of a nonzero temperature on quantum critical points in itinerant fermion systems
journal, September 1993

Fractionalized Fermi Liquids
journal, May 2003

Magnetic quantum phase transitions in Kondo lattices
journal, September 2005

Mixed-valence compounds
journal, April 1976

One-dimensional Kondo lattice model studied through numerical diagonalization
journal, February 2008