Coherence temperature in the diluted periodic Anderson model
Abstract
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.
- Authors:
-
- Universidade Federal do Rio de Janeiro (Brazil)
- The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
- Univ. of California, Davis, CA (United States)
- Publication Date:
- Research Org.:
- Univ. of California, Davis, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF); USDOE
- OSTI Identifier:
- 1597036
- Alternate Identifier(s):
- OSTI ID: 1511770
- Grant/Contract Number:
- SC0014671; DMR-1807889; DMR-1005393
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 19; 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; Magnetism; Disordered systems; Strongly correlated systems; Lattice models in condensed matter; Quantum Monte Carlo
Citation Formats
Costa, N. C., Mendes-Santos, T., Paiva, T., Curro, N. J., dos Santos, R. R., and Scalettar, R. T. Coherence temperature in the diluted periodic Anderson model. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.99.195116.
Costa, N. C., Mendes-Santos, T., Paiva, T., Curro, N. J., dos Santos, R. R., & Scalettar, R. T. Coherence temperature in the diluted periodic Anderson model. United States. https://doi.org/10.1103/PhysRevB.99.195116
Costa, N. C., Mendes-Santos, T., Paiva, T., Curro, N. J., dos Santos, R. R., and Scalettar, R. T. Thu .
"Coherence temperature in the diluted periodic Anderson model". United States. https://doi.org/10.1103/PhysRevB.99.195116. https://www.osti.gov/servlets/purl/1597036.
@article{osti_1597036,
title = {Coherence temperature in the diluted periodic Anderson model},
author = {Costa, N. C. and Mendes-Santos, T. and Paiva, T. and Curro, N. J. and dos Santos, R. R. and Scalettar, R. T.},
abstractNote = {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.},
doi = {10.1103/PhysRevB.99.195116},
journal = {Physical Review B},
number = 19,
volume = 99,
place = {United States},
year = {Thu May 09 00:00:00 EDT 2019},
month = {Thu May 09 00:00:00 EDT 2019}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 6 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Disorder-Induced Static Antiferromagnetism in Cuprate Superconductors
journal, October 2007
- Andersen, Brian M.; Hirschfeld, P. J.; Kampf, Arno P.
- Physical Review Letters, Vol. 99, Issue 14
Exploring heavy fermions from macroscopic to microscopic length scales
journal, August 2016
- Wirth, Steffen; Steglich, Frank
- Nature Reviews Materials, Vol. 1, Issue 10
Sign problem in the numerical simulation of many-electron systems
journal, May 1990
- Loh, E. Y.; Gubernatis, J. E.; Scalettar, R. T.
- Physical Review B, Vol. 41, Issue 13
Site-specific Knight shift measurements of the dilute Kondo lattice system
journal, April 2019
- Lawson, M.; Bush, B. T.; Shockley, A. C.
- Physical Review B, Vol. 99, Issue 16
Two Fluid Description of the Kondo Lattice
journal, January 2004
- Nakatsuji, Satoru; Pines, David; Fisk, Zachary
- Physical Review Letters, Vol. 92, Issue 1
Dilution and non-Fermi-liquid effects in the CePtIn Kondo lattice
journal, January 2009
- Ragel, F. C.; Plessis, P. de V. du; Strydom, A. M.
- Journal of Physics: Condensed Matter, Vol. 21, Issue 4
Crossover from dilute-Kondo system to heavy-fermion system
journal, March 2010
- Watanabe, Hiroshi; Ogata, Masao
- Physical Review B, Vol. 81, Issue 11
Quantum Monte Carlo simulations of dilute and concentrated heavy-fermion systems
journal, April 1988
- Costi, T. A.; Müller-Hartmann, E.; Ulrich, K. A.
- Solid State Communications, Vol. 66, Issue 4
Magnetism, superconductivity, and pairing symmetry in iron-based superconductors
journal, October 2008
- Chubukov, A. V.; Efremov, D. V.; Eremin, I.
- Physical Review B, Vol. 78, Issue 13
Disorder in quantum critical superconductors
journal, December 2013
- Seo, S.; Lu, Xin; Zhu, J-X.
- Nature Physics, Vol. 10, Issue 2
Numerical study of the two-dimensional Hubbard model
journal, July 1989
- White, S. R.; Scalapino, D. J.; Sugar, R. L.
- Physical Review B, Vol. 40, Issue 1
Glassy Spin Dynamics in Non-Fermi-Liquid , 1.0 and 1.5
journal, July 2001
- MacLaughlin, D. E.; Bernal, O. O.; Heffner, R. H.
- Physical Review Letters, Vol. 87, Issue 6
Quantum Monte Carlo Simulations of the Half-Filled Two-Dimensional Kondo Lattice Model
journal, July 1999
- Assaad, F. F.
- Physical Review Letters, Vol. 83, Issue 4
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
- Tou, Hideki; Kitaoka, Yoshio; Asayama, Kunisuke
- Journal of the Physical Society of Japan, Vol. 64, Issue 3
Intersite Coupling Effects in a Kondo Lattice
journal, August 2002
- Nakatsuji, S.; Yeo, S.; Balicas, L.
- Physical Review Letters, Vol. 89, Issue 10
Anomalous NMR magnetic shifts in
journal, October 2001
- Curro, N. J.; Simovic, B.; Hammel, P. C.
- Physical Review B, Vol. 64, Issue 18
Disorder-driven non-Fermi liquid behaviour of correlated electrons
journal, August 2005
- Miranda, E.; Dobrosavljević, V.
- Reports on Progress in Physics, Vol. 68, Issue 10
Strongly inhomogeneous phases and non-Fermi-liquid behavior in randomly depleted Kondo lattices
journal, April 2007
- Kaul, Ribhu K.; Vojta, Matthias
- Physical Review B, Vol. 75, Issue 13
Impurity-induced antiferromagnetic domains in the periodic Anderson model
journal, August 2016
- Benali, A.; Bai, Z. J.; Curro, N. J.
- Physical Review B, Vol. 94, Issue 8
NMR study of strongly correlated electron systems
journal, February 1995
- Kitaoka, Y.; Tou, H.; Zheng, G. -q.
- Physica B: Condensed Matter, Vol. 206-207
Quantum critical scaling and fluctuations in Kondo lattice materials
journal, May 2017
- Yang, Yi-feng; Pines, David; Lonzarich, Gilbert
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 24
Universal Knight shift anomaly in the periodic Anderson model
journal, December 2014
- Jiang, M.; Curro, N. J.; Scalettar, R. T.
- Physical Review B, Vol. 90, Issue 24
Two-dimensional Hubbard model: Numerical simulation study
journal, April 1985
- Hirsch, J. E.
- Physical Review B, Vol. 31, Issue 7
Quantum criticality in heavy-fermion metals
journal, March 2008
- Gegenwart, Philipp; Si, Qimiao; Steglich, Frank
- Nature Physics, Vol. 4, Issue 3
Monte Carlo calculations of coupled boson-fermion systems. I
journal, October 1981
- Blankenbecler, R.; Scalapino, D. J.; Sugar, R. L.
- Physical Review D, Vol. 24, Issue 8
Effects of an additional conduction band on the singlet-antiferromagnet competition in the periodic Anderson model
journal, June 2017
- Hu, Wenjian; Scalettar, Richard T.; Huang, Edwin W.
- Physical Review B, Vol. 95, Issue 23
The Mott Metal-Insulator Transition
book, January 1997
- Gebhard, Florian
- Springer Tracts in Modern Physics
Scaling in the emergent behavior of heavy-electron materials
journal, December 2004
- Curro, N. J.; Young, B. -L.; Schmalian, J.
- Physical Review B, Vol. 70, Issue 23
Evolution of ground-state wave function in upon Cd or Sn doping
journal, January 2018
- Chen, K.; Strigari, F.; Sundermann, M.
- Physical Review B, Vol. 97, Issue 4
Introduction to quantum Monte Carlo simulations for fermionic systems
journal, January 2003
- Santos, Raimundo R. dos
- Brazilian Journal of Physics, Vol. 33, Issue 1
Two-fluid model for heavy electron physics
journal, May 2016
- Yang, Yi-feng
- Reports on Progress in Physics, Vol. 79, Issue 7
-wave superconductivity in the frustrated two-dimensional periodic Anderson model
journal, February 2015
- Wu, Wei; Tremblay, A. -M. -S.
- Physical Review X, Vol. 5, Issue 1
Long range order and two-fluid behavior in heavy electron materials
journal, September 2012
- Shirer, K. R.; Shockley, A. C.; Dioguardi, A. P.
- Proceedings of the National Academy of Sciences, Vol. 109, Issue 45
Compressible ferrimagnetism in the depleted periodic Anderson model
journal, February 2018
- Costa, N. C.; Araújo, M. V.; Lima, J. P.
- Physical Review B, Vol. 97, Issue 8
The case for dx2 − y2 pairing in the cuprate superconductors
journal, January 1995
- Scalapino, D. J.
- Physics Reports, Vol. 250, Issue 6
Microscopic investigation of electronic inhomogeneity induced by substitutions in a quantum critical metal
journal, September 2015
- Sakai, H.; Ronning, F.; Zhu, J. -X.
- Physical Review B, Vol. 92, Issue 12
Complexity in Strongly Correlated Electronic Systems
journal, July 2005
- Dagotto, E.
- Science, Vol. 309, Issue 5732
Impurities near an antiferromagnetic-singlet quantum critical point
journal, February 2017
- Mendes-Santos, T.; Costa, N. C.; Batrouni, G.
- Physical Review B, Vol. 95, Issue 5
Computational Complexity and Fundamental Limitations to Fermionic Quantum Monte Carlo Simulations
journal, May 2005
- Troyer, Matthias; Wiese, Uwe-Jens
- Physical Review Letters, Vol. 94, Issue 17
Nuclear magnetic resonance in the heavy fermion superconductors
journal, January 2009
- Curro, N. J.
- Reports on Progress in Physics, Vol. 72, Issue 2
Universal scaling in the Knight-shift anomaly of the doped periodic Anderson model
journal, June 2017
- Jiang, M.; Yang, Yi-feng
- Physical Review B, Vol. 95, Issue 23
From quantum matter to high-temperature superconductivity in copper oxides
journal, February 2015
- Keimer, B.; Kivelson, S. A.; Norman, M. R.
- Nature, Vol. 518, Issue 7538
Pairing and spin gap in the normal state of short coherence length superconductors
journal, September 1992
- Randeria, Mohit; Trivedi, Nandini; Moreo, Adriana
- Physical Review Letters, Vol. 69, Issue 13
Quenched disorder and vestigial nematicity in the pseudogap regime of the cuprates
journal, May 2014
- Nie, L.; Tarjus, G.; Kivelson, S. A.
- Proceedings of the National Academy of Sciences, Vol. 111, Issue 22
Impurity-induced magnetic moments on the graphene-lattice Hubbard model: An inhomogeneous cluster dynamical mean-field theory study
journal, January 2015
- Charlebois, M.; Sénéchal, D.; Gagnon, A. -M.
- Physical Review B, Vol. 91, Issue 3
Single atom detection in ultracold quantum gases: a review of current progress
journal, April 2016
- Ott, Herwig
- Reports on Progress in Physics, Vol. 79, Issue 5
Reversible Tuning of the Heavy-Fermion Ground State in
journal, August 2006
- Pham, L. D.; Park, Tuson; Maquilon, S.
- Physical Review Letters, Vol. 97, Issue 5
Doping-induced perturbation and percolation in the two-dimensional Anderson lattice
journal, April 2017
- Wei, Lan-ying; Yang, Yi-feng
- Scientific Reports, Vol. 7, Issue 1
Scaling the Kondo lattice
journal, July 2008
- Yang, Yi-feng; Fisk, Zachary; Lee, Han-Oh
- Nature, Vol. 454, Issue 7204
Phase diagram of the Kondo lattice
journal, September 1979
- Lacroix, C.; Cyrot, M.
- Physical Review B, Vol. 20, Issue 5
Emergent states in heavy-electron materials
journal, September 2012
- Yang, Y. -f.; Pines, D.
- Proceedings of the National Academy of Sciences, Vol. 109, Issue 45
Competition between Antiferromagnetic Order and Spin-Liquid Behavior in the Two-Dimensional Periodic Anderson Model at Half Filling
journal, March 1995
- Vekić, M.; Cannon, J. W.; Scalapino, D. J.
- Physical Review Letters, Vol. 74, Issue 12
Spiral magnetic phases on the Kondo Lattice Model: A Hartree–Fock approach
journal, February 2017
- Costa, N. C.; Lima, J. P.; dos Santos, Raimundo R.
- Journal of Magnetism and Magnetic Materials, Vol. 423
Quantum-Gas Microscope for Fermionic Atoms
journal, May 2015
- Cheuk, Lawrence W.; Nichols, Matthew A.; Okan, Melih
- Physical Review Letters, Vol. 114, Issue 19
Universal Behavior in Heavy-Electron Materials
journal, March 2008
- Yang, Yi-feng; Pines, David
- Physical Review Letters, Vol. 100, Issue 9
Disorder, inhomogeneity and spin dynamics in f-electron non-Fermi liquid systems
journal, September 2004
- MacLaughlin, D. E.; Heffner, R. H.; Bernal, O. O.
- Journal of Physics: Condensed Matter, Vol. 16, Issue 40
High-temperature superconductivity in iron pnictides and chalcogenides
journal, March 2016
- Si, Qimiao; Yu, Rong; Abrahams, Elihu
- Nature Reviews Materials, Vol. 1, Issue 4
Quantum-gas microscopes: a new tool for cold-atom quantum simulators
journal, April 2016
- Kuhr, Stefan
- National Science Review, Vol. 3, Issue 2
Development of the heavy-fermion state in and the effects of Ce dilution in
journal, September 2009
- Ohishi, K.; Heffner, R. H.; Ito, T. U.
- Physical Review B, Vol. 80, Issue 12
Emergent Coherent Lattice Behavior in Kondo Nanosystems
journal, March 2019
- Raczkowski, Marcin; Assaad, Fakher F.
- Physical Review Letters, Vol. 122, Issue 9
Enhancing the Superconducting Transition Temperature of due to the Strong-Coupling Effects of Antiferromagnetic Spin Fluctuations: An Nuclear Quadrupole Resonance Study
journal, April 2006
- Kawasaki, Shinji; Yashima, Mitsuharu; Mugino, Yoichi
- Physical Review Letters, Vol. 96, Issue 14
Evolution of hyperfine parameters across a quantum critical point in
journal, October 2015
- Lin, C. H.; Shirer, K. R.; Crocker, J.
- Physical Review B, Vol. 92, Issue 15
Quantum critical behavior in heavy electron materials
journal, May 2014
- Yang, Y. -f.; Pines, D.
- Proceedings of the National Academy of Sciences, Vol. 111, Issue 23
Pairing and Spin Gap in the Normal State of Short Coherence Length Superconductors
journal, May 1994
- Randeria, Mohit; Trivedi, Nandini; Moreo, Adriana
- Physical Review Letters, Vol. 72, Issue 20
Glassy Spin Dynamics in Non-Fermi-Liquid UCu5xPdx, x = 1.0 and 1.5
text, January 2001
- Bernal, O. O.; Heffner, R. H.; MacLaughlin, D. E.
- The American Physical Society
Quantum Criticality in Heavy Fermion Metals
text, January 2007
- Gegenwart, Philipp; Si, Qimiao; Steglich, Frank
- arXiv
Crossover from dilute-Kondo system to heavy-fermion system
text, January 2009
- Watanabe, Hiroshi; Ogata, Masao
- arXiv
Long range order and two-fluid behavior in heavy electron materials
text, January 2012
- Shirer, K. R.; Shockley, A. C.; Dioguardi, A. P.
- arXiv
Quantum critical scaling and superconductivity in heavy electron materials
text, January 2014
- Yang, Yi-feng; Pines, David; Curro, N. J.
- arXiv
d-wave superconductivity in the frustrated two-dimensional periodic Anderson model
text, January 2014
- Wu, Wei; Tremblay, A. -M. -S.
- arXiv
A Quantum Gas Microscope for Fermionic Atoms
text, January 2015
- Cheuk, Lawrence W.; Nichols, Matthew A.; Okan, Melih
- arXiv
Impurity-Induced Antiferromagnetic Domains in the Periodic Anderson Model
text, January 2016
- Benali, Ali; Bai, Zhaojun; Curro, Nicholas J.
- arXiv
High Temperature Superconductivity in Iron Pnictides and Chalcogenides
text, January 2016
- Si, Qimiao; Yu, Rong; Abrahams, Elihu
- arXiv
Doping-induced perturbation and percolation in the two-dimensional Anderson lattice
text, January 2016
- Wei, Lan-ying; Yang, Yi-feng
- arXiv
Effects of an Additional Conduction Band on Singlet-Antiferromagnet Competition in the Periodic Anderson Model
text, January 2017
- Hu, Wenjian; Scalettar, Richard T.; Huang, Edwin W.
- arXiv
Universal scaling in the Knight shift anomaly of doped periodic Anderson model
text, January 2017
- Jiang, M.; Yang, Yi-feng
- arXiv
Quantum critical scaling and fluctuations in Kondo lattice materials
text, January 2017
- Yang, Yi-feng; Pines, David; Lonzarich, Gilbert
- arXiv
Evolution of ground state wave function in CeCoIn$_5$ upon Cd or Sn doping
text, January 2017
- Chen, K.; Strigari, F.; Sundermann, M.
- arXiv
Emergent Coherent Lattice Behavior in Kondo Nanosystems
text, January 2018
- Raczkowski, Marcin; Assaad, Fakher F.
- arXiv
Scaling in the Emergent Behavior of Heavy Electron Materials
text, January 2004
- Curro, N. J.; Young, B. -L.; Schmalian, J.
- arXiv
Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
text, January 2005
- Miranda, E.; Dobrosavljevic, V.
- arXiv
Competition Between Antiferromagnetic Order and Spin-Liquid Behavior in the Two-Dimensional Periodic Anderson Model at Half-Filling
text, January 1994
- Vekic, M.; Cannon, J. W.; Scalapino, D. J.
- arXiv