Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Coherence temperature in the diluted periodic Anderson model

Journal Article · · Physical Review B
 [1];  [2];  [3];  [4];  [3];  [4]
  1. Universidade Federal do Rio de Janeiro (Brazil); Physics Department, University of California, Davis
  2. The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
  3. Universidade Federal do Rio de Janeiro (Brazil)
  4. Univ. of California, Davis, CA (United States)
The Kondo and periodic Anderson model (PAM) are known to provide a microscopic picture of many of the fundamental properties of heavy-fermion materials and, more generally, a variety of strong correlation phenomena in 4f and 5f systems. Here, we apply the determinant quantum Monte Carlo method to include disorder in the PAM, specifically the removal of a fraction x of the localized orbitals. We determine the evolution of the coherence temperature T*, where the local moments and conduction electrons become entwined in a heavy-fermion fluid, with x and with the hybridization V between localized and conduction orbitals. We recover several of the principal observed trends in T* of doped heavy fermions, and we also show that, within this theoretical framework, the calculated nuclear magnetic resonance relaxation rate tracks the experimentally measured behavior in pure and doped CeCoIn5. Finally, our results contribute to important issues in the interpretation of local probes of disordered, strongly correlated systems.
Research Organization:
Univ. of California, Davis, CA (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
Grant/Contract Number:
SC0014671
OSTI ID:
1597036
Alternate ID(s):
OSTI ID: 1511770
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 19 Vol. 99; ISSN 2469-9950; ISSN PRBMDO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (89)

The Mott Metal-Insulator Transition book January 1997
The NMR Probe of High-Tc Materials and Correlated Electron Systems book October 2017
Magnetic and non-magnetic ground states of the Kondo lattice journal June 1991
Quantum Monte Carlo simulations of dilute and concentrated heavy-fermion systems journal April 1988
The case for dx2 − y2 pairing in the cuprate superconductors journal January 1995
The Kondo lattice and weak antiferromagnetism journal July 1977
NMR study of strongly correlated electron systems journal February 1995
Spiral magnetic phases on the Kondo Lattice Model: A Hartree–Fock approach journal February 2017
High-temperature superconductivity in iron pnictides and chalcogenides journal March 2016
Exploring heavy fermions from macroscopic to microscopic length scales journal August 2016
Scaling the Kondo lattice journal July 2008
From quantum matter to high-temperature superconductivity in copper oxides journal February 2015
Disorder in quantum critical superconductors journal December 2013
Quantum criticality in heavy-fermion metals journal March 2008
Doping-induced perturbation and percolation in the two-dimensional Anderson lattice journal April 2017
Long range order and two-fluid behavior in heavy electron materials journal September 2012
Emergent states in heavy-electron materials journal September 2012
Quenched disorder and vestigial nematicity in the pseudogap regime of the cuprates journal May 2014
Quantum critical behavior in heavy electron materials journal May 2014
Quantum critical scaling and fluctuations in Kondo lattice materials journal May 2017
Disorder-driven non-Fermi liquid behaviour of correlated electrons journal August 2005
Nuclear magnetic resonance in the heavy fermion superconductors journal January 2009
Single atom detection in ultracold quantum gases: a review of current progress journal April 2016
Two-fluid model for heavy electron physics journal May 2016
Disorder, inhomogeneity and spin dynamics in f-electron non-Fermi liquid systems journal September 2004
Dilution and non-Fermi-liquid effects in the CePtIn Kondo lattice journal January 2009
Quantum-gas microscopes: a new tool for cold-atom quantum simulators journal April 2016
Phase diagram of the Kondo lattice journal September 1979
Two-dimensional Hubbard model: Numerical simulation study journal April 1985
Numerical study of the two-dimensional Hubbard model journal July 1989
Sign problem in the numerical simulation of many-electron systems journal May 1990
Anomalous NMR magnetic shifts in CeCoIn 5 journal October 2001
Scaling in the emergent behavior of heavy-electron materials journal December 2004
Strongly inhomogeneous phases and non-Fermi-liquid behavior in randomly depleted Kondo lattices journal April 2007
Magnetism, superconductivity, and pairing symmetry in iron-based superconductors journal October 2008
Development of the heavy-fermion state in Ce 2 IrIn 8 and the effects of Ce dilution in ( Ce 1 − x La x ) 2 IrIn 8 journal September 2009
Crossover from dilute-Kondo system to heavy-fermion system journal March 2010
Universal Knight shift anomaly in the periodic Anderson model journal December 2014
Impurity-induced magnetic moments on the graphene-lattice Hubbard model: An inhomogeneous cluster dynamical mean-field theory study journal January 2015
Microscopic investigation of electronic inhomogeneity induced by substitutions in a quantum critical metal CeCoIn 5 journal September 2015
Evolution of hyperfine parameters across a quantum critical point in CeRhIn 5 journal October 2015
Quantum critical scaling and superconductivity in heavy electron materials journal November 2015
Impurity-induced antiferromagnetic domains in the periodic Anderson model journal August 2016
Impurities near an antiferromagnetic-singlet quantum critical point journal February 2017
Effects of an additional conduction band on the singlet-antiferromagnet competition in the periodic Anderson model journal June 2017
Universal scaling in the Knight-shift anomaly of the doped periodic Anderson model journal June 2017
Evolution of ground-state wave function in CeCoIn 5 upon Cd or Sn doping journal January 2018
Compressible ferrimagnetism in the depleted periodic Anderson model journal February 2018
Site-specific Knight shift measurements of the dilute Kondo lattice system Ce 1 − x La x CoIn 5 journal April 2019
Monte Carlo calculations of coupled boson-fermion systems. I journal October 1981
Universal Behavior in Heavy-Electron Materials journal March 2008
Quantum-Gas Microscope for Fermionic Atoms journal May 2015
Emergent Coherent Lattice Behavior in Kondo Nanosystems journal March 2019
Pairing and spin gap in the normal state of short coherence length superconductors journal September 1992
Competition between Antiferromagnetic Order and Spin-Liquid Behavior in the Two-Dimensional Periodic Anderson Model at Half Filling journal March 1995
Quantum Monte Carlo Simulations of the Half-Filled Two-Dimensional Kondo Lattice Model journal July 1999
Glassy Spin Dynamics in Non-Fermi-Liquid UCu 5 − x Pd x , x = 1.0 and 1.5 journal July 2001
Intersite Coupling Effects in a Kondo Lattice journal August 2002
Two Fluid Description of the Kondo Lattice journal January 2004
Computational Complexity and Fundamental Limitations to Fermionic Quantum Monte Carlo Simulations journal May 2005
Enhancing the Superconducting Transition Temperature of CeRh 1 − x Ir x In 5 due to the Strong-Coupling Effects of Antiferromagnetic Spin Fluctuations: An In 115 Nuclear Quadrupole Resonance Study journal April 2006
Reversible Tuning of the Heavy-Fermion Ground State in CeCoIn 5 journal August 2006
Disorder-Induced Static Antiferromagnetism in Cuprate Superconductors journal October 2007
d -wave superconductivity in the frustrated two-dimensional periodic Anderson model journal February 2015
Pairing and Spin Gap in the Normal State of Short Coherence Length Superconductors journal May 1994
Complexity in Strongly Correlated Electronic Systems journal July 2005
Lecture Notes on Electron Correlation and Magnetism book January 1999
d-Wave Superconductivity in Antiferromagnetic Heavy-Fermion Compound U P d 2 A l 3 –Evidence from 27 A l NMR/NQR Studies– journal March 1995
Introduction to quantum Monte Carlo simulations for fermionic systems journal January 2003
Glassy Spin Dynamics in Non-Fermi-Liquid UCu5–xPdx, x = 1.0 and 1.5 text January 2001
Quantum Criticality in Heavy Fermion Metals text January 2007
Crossover from dilute-Kondo system to heavy-fermion system text January 2009
Emergent states in heavy electron materials text January 2012
Long range order and two-fluid behavior in heavy electron materials text January 2012
Quantum critical scaling and superconductivity in heavy electron materials text January 2014
d-wave superconductivity in the frustrated two-dimensional periodic Anderson model text January 2014
A Quantum Gas Microscope for Fermionic Atoms text January 2015
Impurity-Induced Antiferromagnetic Domains in the Periodic Anderson Model text January 2016
High Temperature Superconductivity in Iron Pnictides and Chalcogenides text January 2016
Doping-induced perturbation and percolation in the two-dimensional Anderson lattice text January 2016
Effects of an Additional Conduction Band on Singlet-Antiferromagnet Competition in the Periodic Anderson Model text January 2017
Universal scaling in the Knight shift anomaly of doped periodic Anderson model text January 2017
Quantum critical scaling and fluctuations in Kondo lattice materials text January 2017
Evolution of ground state wave function in CeCoIn$_5$ upon Cd or Sn doping text January 2017
Emergent Coherent Lattice Behavior in Kondo Nanosystems text January 2018
Scaling in the Emergent Behavior of Heavy Electron Materials text January 2004
Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons text January 2005
Complexity in Strongly Correlated Electronic Systems text January 2005
Competition Between Antiferromagnetic Order and Spin-Liquid Behavior in the Two-Dimensional Periodic Anderson Model at Half-Filling text January 1994