skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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:
ORCiD logo [1]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
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.
Zhu, Wei, & Zhu, Jian -Xin. Local quantum criticality of a one-dimensional Kondo insulator model. United States. doi:https://doi.org/10.1103/PhysRevB.97.245119
Zhu, Wei, and Zhu, Jian -Xin. Wed . "Local quantum criticality of a one-dimensional Kondo insulator model". United States. doi:https://doi.org/10.1103/PhysRevB.97.245119. https://www.osti.gov/servlets/purl/1477724.
@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 = {2018},
month = {6}
}

Works referenced in this record:

Quantum critical phenomena
journal, August 1976


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

  • Tsunetsugu, Hirokazu; Hatsugai, Yasuhiro; Ueda, Kazuo
  • Physical Review B, Vol. 46, Issue 5
  • DOI: 10.1103/PhysRevB.46.3175

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

  • Löhneysen, Hilbert v.; Rosch, Achim; Vojta, Matthias
  • Reviews of Modern Physics, Vol. 79, Issue 3
  • DOI: 10.1103/RevModPhys.79.1015

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

  • Tsunetsugu, Hirokazu; Sigrist, Manfred; Ueda, Kazuo
  • Reviews of Modern Physics, Vol. 69, Issue 3
  • DOI: 10.1103/RevModPhys.69.809

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

  • Si, Qimiao; Rabello, Silvio; Ingersent, Kevin
  • Nature, Vol. 413, Issue 6858
  • DOI: 10.1038/35101507

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

  • Ishimura, N.; Shiba, H.
  • Progress of Theoretical Physics, Vol. 63, Issue 3
  • DOI: 10.1143/PTP.63.743

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

  • Coleman, Piers; Nevidomskyy, Andriy H.
  • Journal of Low Temperature Physics, Vol. 161, Issue 1-2
  • DOI: 10.1007/s10909-010-0213-4

The Kondo lattice and weak antiferromagnetism
journal, July 1977


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

  • Tsunetsugu, Hirokazu; Sigrist, Manfred; Ueda, Kazuo
  • Physical Review B, Vol. 47, Issue 13
  • DOI: 10.1103/PhysRevB.47.8345

Quantum criticality in heavy-fermion metals
journal, March 2008

  • Gegenwart, Philipp; Si, Qimiao; Steglich, Frank
  • Nature Physics, Vol. 4, Issue 3
  • DOI: 10.1038/nphys892

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