Energy scales of the doped Anderson lattice model

Kang, Hanhim; Haule, Kristjan; Kotliar, Gabriel; Coleman, Piers; Shim, Ji-Hoon

doi:10.1103/PhysRevB.99.165115

Title: Energy scales of the doped Anderson lattice model

Abstract

This paper explores the energy scales of the doped Anderson lattice model using dynamical mean-field theory (DMFT), using a continuous-time Quantum Monte Carlo (CTQMC) impurity solver. We show that the low temperature properties of the lattice can not be scaled using the single ion local Kondo temperature T_K but instead are governed by a doping-dependent coherence temperature T* which can be used to scale the temperature dependence of the spectral function, transport properties, and entropy. At half filling T* closely approximates the single ion T_K, but as the filling n_c is reduced to zero, T* also vanishes. The coherence temperature T* is shown to play a role of effective impurity Kondo temperature in the lattice model, and physical observables show significant evolution at T*. In the DMFT framework, we showed that the hybridization strength of the effective impurity model is qualitatively affected by the doping level, and determines T* in the lattice model.

Authors:

Kang, Hanhim ^[1]; Haule, Kristjan ^[2]; Kotliar, Gabriel ^[2]; Coleman, Piers ^[2]; Shim, Ji-Hoon ^[3]

Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of). Dept. of Chemistry
Rutgers Univ., Piscataway, NJ (United States). Dept. of Physics and Astronomy
Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of). Dept. of Chemistry, and Dept. of Physics

Publication Date:: Fri Apr 12 00:00:00 EDT 2019

Research Org.:: Rutgers Univ., Piscataway, NJ (United States)

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

OSTI Identifier:: 1509680

Alternate Identifier(s):: OSTI ID: 1506725

Grant/Contract Number:: FG02-99ER45790

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 99; Journal Issue: 16; 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; Kondo Lattice, Dynamical Mean Field Theory, Heavy Fermions

Citation Formats


                    Kang, Hanhim, Haule, Kristjan, Kotliar, Gabriel, Coleman, Piers, and Shim, Ji-Hoon. Energy scales of the doped Anderson lattice model.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevB.99.165115.

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                    Kang, Hanhim, Haule, Kristjan, Kotliar, Gabriel, Coleman, Piers, & Shim, Ji-Hoon. Energy scales of the doped Anderson lattice model.  United States.  https://doi.org/10.1103/PhysRevB.99.165115

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                    Kang, Hanhim, Haule, Kristjan, Kotliar, Gabriel, Coleman, Piers, and Shim, Ji-Hoon. Fri .  
"Energy scales of the doped Anderson lattice model".  United States.  https://doi.org/10.1103/PhysRevB.99.165115.  https://www.osti.gov/servlets/purl/1509680.

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@article{osti_1509680,

  title        = {Energy scales of the doped Anderson lattice model},

  author       = {Kang, Hanhim and Haule, Kristjan and Kotliar, Gabriel and Coleman, Piers and Shim, Ji-Hoon},

  abstractNote = {This paper explores the energy scales of the doped Anderson lattice model using dynamical mean-field theory (DMFT), using a continuous-time Quantum Monte Carlo (CTQMC) impurity solver. We show that the low temperature properties of the lattice can not be scaled using the single ion local Kondo temperature TK but instead are governed by a doping-dependent coherence temperature T* which can be used to scale the temperature dependence of the spectral function, transport properties, and entropy. At half filling T* closely approximates the single ion TK, but as the filling nc is reduced to zero, T* also vanishes. The coherence temperature T* is shown to play a role of effective impurity Kondo temperature in the lattice model, and physical observables show significant evolution at T*. In the DMFT framework, we showed that the hybridization strength of the effective impurity model is qualitatively affected by the doping level, and determines T* in the lattice model.},

  doi          = {10.1103/PhysRevB.99.165115},

  journal      = {Physical Review B},

  number       = 16,

  volume       = 99,

  place        = {United States},

  year         = {Fri Apr 12 00:00:00 EDT 2019},

  month        = {Fri Apr 12 00:00:00 EDT 2019}

}

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Works referencing / citing this record:

Quantum Criticality in the Two-Dimensional Periodic Anderson Model
journal, June 2019

Schäfer, T.; Katanin, A. A.; Kitatani, M.
Physical Review Letters, Vol. 122, Issue 22
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Title: Energy scales of the doped Anderson lattice model

Abstract

Citation Formats

Hubbard model in infinite dimensions journal, March 1992

A Theory of Metallic Ferro- and Antiferromagnetism on Zener's Model journal, July 1956

Heavy-fermion systems journal, October 1984

A new functional integral formalism for the degenerate Anderson model journal, October 1983

Effect of high pressure on the electrical resistivity of the heavy-fermion compound UBe 13 journal, October 1990

Kondo-lattice – mixed-valence resistance scaling in heavy-fermion CeCu 6 under pressure journal, January 1985

Multiple temperature scales of the periodic Anderson model: Slave boson approach journal, March 2009

A ?fermi-liquid? description of the Kondo problem at low temperatures journal, October 1974

Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data journal, May 1996

Direct observation of how the heavy-fermion state develops in CeCoIn 5 journal, July 2017

High dimensions - a new approach to fermionic lattice models journal, February 1991

Temperature-Independent Fermi Surface in the Kondo Lattice YbRh 2 Si 2 journal, March 2015

A poor man's derivation of scaling laws for the Kondo problem journal, December 1970

Indirect Exchange Coupling of Nuclear Magnetic Moments by Conduction Electrons journal, October 1954

Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions journal, January 1996

The Kondo lattice and weak antiferromagnetism journal, July 1977

Some exact results for the Kondo lattice with infinite exchange interaction journal, June 1985

Resistance Minimum in Dilute Magnetic Alloys journal, July 1964

The electrical resistance of gold, copper and lead at low temperatures journal, May 1934

Phase diagram, energy scales, and nonlocal correlations in the Anderson lattice model journal, September 2011

Magnetic Properties of Cu-Mn Alloys journal, June 1957

Mixed valence as an almost broken symmetry journal, April 1987

Recent Advances in Ce-Based Heavy-Fermion Superconductivity and Fermi Surface Properties journal, May 2007

Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture journal, November 1971

The renormalization group and the ε expansion journal, August 1974

Heavy-fermion systems journal, November 2000

Phase diagram, energy scales and nonlocal correlations in the Anderson lattice model text, January 2011

A continuous-time solver for quantum impurity models text, January 2005

Quantum Criticality in the Two-Dimensional Periodic Anderson Model journal, June 2019

Hubbard model in infinite dimensions
journal, March 1992

A Theory of Metallic Ferro- and Antiferromagnetism on Zener's Model
journal, July 1956

Heavy-fermion systems
journal, October 1984

A new functional integral formalism for the degenerate Anderson model
journal, October 1983

Effect of high pressure on the electrical resistivity of the heavy-fermion compound ${UBe}_{13}$
journal, October 1990

Kondo-lattice – mixed-valence resistance scaling in heavy-fermion ${CeCu}_{6}$ under pressure
journal, January 1985

Multiple temperature scales of the periodic Anderson model: Slave boson approach
journal, March 2009

A ?fermi-liquid? description of the Kondo problem at low temperatures
journal, October 1974

Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data
journal, May 1996

Direct observation of how the heavy-fermion state develops in ${CeCoIn}_{5}$
journal, July 2017

High dimensions - a new approach to fermionic lattice models
journal, February 1991

Temperature-Independent Fermi Surface in the Kondo Lattice ${YbRh}_{2} {Si}_{2}$
journal, March 2015

A poor man's derivation of scaling laws for the Kondo problem
journal, December 1970

Indirect Exchange Coupling of Nuclear Magnetic Moments by Conduction Electrons
journal, October 1954

Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
journal, January 1996

The Kondo lattice and weak antiferromagnetism
journal, July 1977

Some exact results for the Kondo lattice with infinite exchange interaction
journal, June 1985

Resistance Minimum in Dilute Magnetic Alloys
journal, July 1964

The electrical resistance of gold, copper and lead at low temperatures
journal, May 1934

Phase diagram, energy scales, and nonlocal correlations in the Anderson lattice model
journal, September 2011

Magnetic Properties of Cu-Mn Alloys
journal, June 1957

Mixed valence as an almost broken symmetry
journal, April 1987

Recent Advances in Ce-Based Heavy-Fermion Superconductivity and Fermi Surface Properties
journal, May 2007

Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
journal, November 1971

The renormalization group and the ε expansion
journal, August 1974

Heavy-fermion systems
journal, November 2000

Phase diagram, energy scales and nonlocal correlations in the Anderson lattice model
text, January 2011

A continuous-time solver for quantum impurity models
text, January 2005

Quantum Criticality in the Two-Dimensional Periodic Anderson Model
journal, June 2019