Impurities near an antiferromagnetic-singlet quantum critical point

Mendes-Santos, T.; Costa, N. C.; Batrouni, G.; Curro, N.; dos Santos, R. R.; Paiva, T.; Scalettar, R. T.

doi:10.1103/PhysRevB.95.054419

Title: Impurities near an antiferromagnetic-singlet quantum critical point

Journal Article · Wed Feb 15 00:00:00 EST 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.95.054419· OSTI ID:1344106

Mendes-Santos, T. ^[1]; Costa, N. C. ^[2]; Batrouni, G. ^[3]; Curro, N. ^[4]; dos Santos, R. R. ^[2]; Paiva, T. ^[2]; Scalettar, R. T. ^[4]

Federal Univ. of Rio de Janeiro (Brazil). Inst. of Physics; Univ. of California, Davis, CA (United States). Dept. of Physics
Federal Univ. of Rio de Janeiro (Brazil). Inst. of Physics
Univ. of Cote d'Azur (France); CNRS-UNS-NUS-NTU International Joint Research Unit (Singapore). Majulab; National Univ. of Singapore (Singapore). Centre for Quantum Technologies
Univ. of California, Davis, CA (United States). Dept. of Physics

Heavy-fermion systems and other strongly correlated electron materials often exhibit a competition between antiferromagnetic (AF) and singlet ground states. We examine the effect of impurities in the vicinity of such an AF-singlet quantum critical point (QCP), through an appropriately defined “impurity susceptibility” χimp, using exact quantum Monte Carlo simulations. Our key finding is a connection within a single calculational framework between AF domains induced on the singlet side of the transition and the behavior of the nuclear magnetic resonance (NMR) relaxation rate 1/T1. Furthermore, we show that local NMR measurements provide a diagnostic for the location of the QCP, which agrees remarkably well with the vanishing of the AF order parameter and large values of χimp.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Univ. of California, Davis, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0001842; NA0002908

OSTI ID:: 1344106

Alternate ID(s):: OSTI ID: 1344004

Journal Information:: Physical Review B, Vol. 95, Issue 5; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 6 works

Citation information provided by
Web of Science

References (52)

Optical study of the ${La}_{2 - x}$ ${Sr}_{x}$ ${NiO}_{4}$ system: Effect of hole doping on the electronic structure of the ${NiO}_{2}$ plane Ido, T.; Magoshi, K.; Eisaki, H. Physical Review B, Vol. 44, Issue 21 https://doi.org/10.1103/PhysRevB.44.12094	journal	December 1991
Long range order and two-fluid behavior in heavy electron materials Shirer, K. R.; Shockley, A. C.; Dioguardi, A. P. Proceedings of the National Academy of Sciences, Vol. 109, Issue 45 https://doi.org/10.1073/pnas.1209609109	journal	September 2012
Disorder-Induced Static Antiferromagnetism in Cuprate Superconductors Andersen, Brian M.; Hirschfeld, P. J.; Kampf, Arno P. Physical Review Letters, Vol. 99, Issue 14 https://doi.org/10.1103/PhysRevLett.99.147002	journal	October 2007
Nonmagnetic impurities in spin-gapped and gapless Heisenberg antiferromagnets Sandvik, A. W.; Dagotto, E.; Scalapino, D. J. Physical Review B, Vol. 56, Issue 18 https://doi.org/10.1103/PhysRevB.56.11701	journal	November 1997
Spin and Charge Order around Vortices and Impurities in High- $T_{c}$ Superconductors Zhu, Jian-Xin; Martin, Ivar; Bishop, A. R. Physical Review Letters, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevLett.89.067003	journal	July 2002
High-temperature superconductivity in tetragonal perovskite structures: Is oxygen-vacancy order important? Xiao, Gang; Cieplak, M. Z.; Gavrin, A. Physical Review Letters, Vol. 60, Issue 14 https://doi.org/10.1103/PhysRevLett.60.1446	journal	April 1988
Magnetic ordering in a doped frustrated spin-Peierls system Laflorencie, Nicolas; Poilblanc, Didier; Sandvik, Anders W. Physical Review B, Vol. 69, Issue 21 https://doi.org/10.1103/PhysRevB.69.212412	journal	June 2004
Magnetic and pairing correlations in coupled Hubbard planes Scalettar, Richard T.; Cannon, Joel W.; Scalapino, Douglas J. Physical Review B, Vol. 50, Issue 18 https://doi.org/10.1103/PhysRevB.50.13419	journal	November 1994
Electron and hole doping in NiO Reinert, F.; Steiner, P.; H�fner, S. Zeitschrift f�r Physik B Condensed Matter, Vol. 97, Issue 1 https://doi.org/10.1007/BF01317591	journal	March 1995
Low-Temperature Properties of the Randomly Depleted Heisenberg Ladder Sigrist, Manfred; Furusaki, Akira Journal of the Physical Society of Japan, Vol. 65, Issue 8 https://doi.org/10.1143/JPSJ.65.2385	journal	August 1996
Pairing and spin gap in the normal state of short coherence length superconductors Randeria, Mohit; Trivedi, Nandini; Moreo, Adriana Physical Review Letters, Vol. 69, Issue 13 https://doi.org/10.1103/PhysRevLett.69.2001	journal	September 1992
Field-induced quantum-disordered phases in $S = \frac{1}{2}$ weakly coupled dimer systems with site dilution Roscilde, Tommaso Physical Review B, Vol. 74, Issue 14 https://doi.org/10.1103/PhysRevB.74.144418	journal	October 2006
Impurity effects at finite temperature in the two-dimensional $S = 1 ∕ 2$ Heisenberg antiferromagnet Höglund, Kaj H.; Sandvik, Anders W. Physical Review B, Vol. 70, Issue 2 https://doi.org/10.1103/PhysRevB.70.024406	journal	July 2004
Disorder in quantum critical superconductors Seo, S.; Lu, Xin; Zhu, J-X. Nature Physics, Vol. 10, Issue 2 https://doi.org/10.1038/nphys2820	journal	December 2013
Order-disorder transition in a two-layer quantum antiferromagnet Sandvik, A. W.; Scalapino, D. J. Physical Review Letters, Vol. 72, Issue 17 https://doi.org/10.1103/PhysRevLett.72.2777	journal	April 1994
Local Defect in Metallic Quantum Critical Systems Millis, A. J.; Morr, D. K.; Schmalian, J. Physical Review Letters, Vol. 87, Issue 16 https://doi.org/10.1103/PhysRevLett.87.167202	journal	October 2001
Superconductor-to-nonsuperconductor transition in ( ${La}_{1 - x}$ ${Sr}_{x}$ $)_{2}$ ${CuO}_{4}$ as investigated by transport and magnetic measurements Takagi, H.; Ido, T.; Ishibashi, S. Physical Review B, Vol. 40, Issue 4 https://doi.org/10.1103/PhysRevB.40.2254	journal	August 1989
Spin-Peierls and antiferromagnetic phases in Cu $_{1 - x}$ Zn $_{x}$ GeO $_{3}$ : A neutron-scattering study Martin, Michael C.; Hase, M.; Hirota, K. Physical Review B, Vol. 56, Issue 6 https://doi.org/10.1103/PhysRevB.56.3173	journal	August 1997
Antiferromagnetism in the Two-Dimensional Hubbard Model Hirsch, J. E.; Tang, S. Physical Review Letters, Vol. 62, Issue 5 https://doi.org/10.1103/PhysRevLett.62.591	journal	January 1989
Reversible Tuning of the Heavy-Fermion Ground State in ${CeCoIn}_{5}$ Pham, L. D.; Park, Tuson; Maquilon, S. Physical Review Letters, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevLett.97.056404	journal	August 2006
Néel transition and sublattice magnetization of pure and doped ${La}_{2}$ ${CuO}_{4}$ Keimer, B.; Aharony, A.; Auerbach, A. Physical Review B, Vol. 45, Issue 13 https://doi.org/10.1103/PhysRevB.45.7430	journal	April 1992
Impurity-Induced Magnetic Order in Low-Dimensional Spin-Gapped Materials Bobroff, J.; Laflorencie, N.; Alexander, L. K. Physical Review Letters, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevLett.103.047201	journal	July 2009
Interacting Antiferromagnetic Droplets in Quantum Critical ${CeCoIn}_{5}$ Urbano, R. R.; Young, B. -L.; Curro, N. J. Physical Review Letters, Vol. 99, Issue 14 https://doi.org/10.1103/PhysRevLett.99.146402	journal	October 2007
${}^{89}Y$ NMR probe of Zn induced local moments in ${YBa}_{2}$ ( ${Cu}_{1 - y}$ ${Zn}_{y}$ $)_{3}$ $O_{6 + x}$ Mahajan, A. V.; Alloul, H.; Collin, G. Physical Review Letters, Vol. 72, Issue 19 https://doi.org/10.1103/PhysRevLett.72.3100	journal	May 1994
Quantum Monte Carlo with directed loops Syljuåsen, Olav F.; Sandvik, Anders W. Physical Review E, Vol. 66, Issue 4 https://doi.org/10.1103/PhysRevE.66.046701	journal	October 2002
Optical spectra of ${La}_{2 - x}$ ${Sr}_{x}$ ${CuO}_{4}$ : Effect of carrier doping on the electronic structure of the ${CuO}_{2}$ plane Uchida, S.; Ido, T.; Takagi, H. Physical Review B, Vol. 43, Issue 10 https://doi.org/10.1103/PhysRevB.43.7942	journal	April 1991
Locally critical quantum phase transitions in strongly correlated metals Si, Qimiao; Rabello, Silvio; Ingersent, Kevin Nature, Vol. 413, Issue 6858 https://doi.org/10.1038/35101507	journal	October 2001
Impurity-induced antiferromagnetic domains in the periodic Anderson model Benali, A.; Bai, Z. J.; Curro, N. J. Physical Review B, Vol. 94, Issue 8 https://doi.org/10.1103/PhysRevB.94.085132	journal	August 2016
Classical percolation transition in the diluted two-dimensional $S = \frac{1}{2}$ Heisenberg antiferromagnet Sandvik, Anders W. Physical Review B, Vol. 66, Issue 2 https://doi.org/10.1103/PhysRevB.66.024418	journal	July 2002
Multicritical Point in a Diluted Bilayer Heisenberg Quantum Antiferromagnet Sandvik, Anders W. Physical Review Letters, Vol. 89, Issue 17 https://doi.org/10.1103/PhysRevLett.89.177201	journal	October 2002
Universal Knight shift anomaly in the periodic Anderson model Jiang, M.; Curro, N. J.; Scalettar, R. T. Physical Review B, Vol. 90, Issue 24 https://doi.org/10.1103/PhysRevB.90.241109	journal	December 2014
Impurity Induced Spin Texture in Quantum Critical 2D Antiferromagnets Höglund, Kaj H.; Sandvik, Anders W.; Sachdev, Subir Physical Review Letters, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevLett.98.087203	journal	February 2007
Quantum Impurity in a Nearly Critical Two-Dimensional Antiferromagnet Sachdev, S. Science, Vol. 286, Issue 5449 https://doi.org/10.1126/science.286.5449.2479	journal	December 1999
Monte Carlo simulations of the spin-(1/2 Heisenberg antiferromagnet on a square lattice Reger, J. D.; Young, A. P. Physical Review B, Vol. 37, Issue 10 https://doi.org/10.1103/PhysRevB.37.5978	journal	April 1988
Order by Disorder from Nonmagnetic Impurities in a Two-Dimensional Quantum Spin Liquid Wessel, Stefan; Normand, B.; Sigrist, M. Physical Review Letters, Vol. 86, Issue 6 https://doi.org/10.1103/PhysRevLett.86.1086	journal	February 2001
Universal magnetic properties of ${La}_{2 - δ}$ ${Sr}_{δ}$ ${CuO}_{4}$ at intermediate temperatures Chubukov, Andrey V.; Sachdev, Subir Physical Review Letters, Vol. 71, Issue 1 https://doi.org/10.1103/PhysRevLett.71.169	journal	July 1993
Switching of the gapped singlet spin-liquid state to an antiferromagnetically ordered state in Sr( ${Cu}_{1 - x}$ ${Zn}_{x}$ $)_{2}$ $O_{3}$ Azuma, M.; Fujishiro, Y.; Takano, M. Physical Review B, Vol. 55, Issue 14 https://doi.org/10.1103/PhysRevB.55.R8658	journal	April 1997
Similarities between the Hubbard and Periodic Anderson Models at Finite Temperatures Held, K.; Huscroft, C.; Scalettar, R. T. Physical Review Letters, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevLett.85.373	journal	July 2000
Site-dilution-induced antiferromagnetic long-range order in a two-dimensional spin-gapped Heisenberg antiferromagnet Yasuda, Chitoshi; Todo, Synge; Matsumoto, Munehisa Physical Review B, Vol. 64, Issue 9 https://doi.org/10.1103/PhysRevB.64.092405	journal	August 2001
Critical exponents and equation of state of the three-dimensional Heisenberg universality class Campostrini, Massimo; Hasenbusch, Martin; Pelissetto, Andrea Physical Review B, Vol. 65, Issue 14 https://doi.org/10.1103/PhysRevB.65.144520	journal	April 2002
Nonthermal ultrafast optical control of the magnetization in garnet films Hansteen, Fredrik; Kimel, Alexey; Kirilyuk, Andrei Physical Review B, Vol. 73, Issue 1 https://doi.org/10.1103/PhysRevB.73.014421	journal	January 2006
Critical exponents and equation of state of the three-dimensional Heisenberg universality class Campostrini, Massimo; Hasenbusch, Martin; Pelissetto, Andrea Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-09588	text	January 2002
Pairing and Spin Gap in the Normal State of Short Coherence Length Superconductors Randeria, Mohit; Trivedi, Nandini; Moreo, Adriana Physical Review Letters, Vol. 72, Issue 20 https://doi.org/10.1103/physrevlett.72.3292	journal	May 1994
Order by Disorder from Nonmagnetic Impurities in a Two-Dimensional Quantum Spin Liquid Haas, Stephan; Normand, B.; Sigrist, M. The American Physical Society https://doi.org/10.17877/de290r-12457	text	January 2001
Long range order and two-fluid behavior in heavy electron materials Shirer, K. R.; Shockley, A. C.; Dioguardi, A. P. arXiv https://doi.org/10.48550/arxiv.1206.1879	text	January 2012
Impurity-Induced Antiferromagnetic Domains in the Periodic Anderson Model Benali, Ali; Bai, Zhaojun; Curro, Nicholas J. arXiv https://doi.org/10.48550/arxiv.1604.02735	text	January 2016
Locally critical quantum phase transitions in strongly correlated metals Si, Qimiao; Rabello, Silvio; Ingersent, Kevin arXiv https://doi.org/10.48550/arxiv.cond-mat/0011477	text	January 2000
Local Defect in Metallic Quantum Critical Systems Millis, A. J.; Morr, D. K.; Schmalian, J. arXiv https://doi.org/10.48550/arxiv.cond-mat/0104258	text	January 2001
Magnetic ordering in a doped frustrated spin-Peierls system Laflorencie, Nicolas; Poilblanc, Didier; Sandvik, Anders W. arXiv https://doi.org/10.48550/arxiv.cond-mat/0308334	text	January 2003
Impurity effects at finite temperature in the two-dimensional S=1/2 Heisenberg antiferromagnet Hoglund, Kaj H.; Sandvik, Anders W. arXiv https://doi.org/10.48550/arxiv.cond-mat/0402189	text	January 2004
Low-Temperature Properties of the Randomly Depleted Heisenberg Ladder Sigrist, M.; Furusaki, A. arXiv https://doi.org/10.48550/arxiv.cond-mat/9606170	text	January 1996
Similarities between the Hubbard and Periodic Anderson Models at Finite Temperatures Held, K.; Huscroft, C.; Scalettar, R. T. arXiv https://doi.org/10.48550/arxiv.cond-mat/9905011	text	January 1999

Cited By (3)

Tunable magnetism of a hexagonal Anderson droplet on the triangular lattice Jiang, Mi Physical Review B, Vol. 100, Issue 1 https://doi.org/10.1103/physrevb.100.014422	journal	July 2019
Random-Singlet Phase in Disordered Two-Dimensional Quantum Magnets Liu, Lu; Shao, Hui; Lin, Yu-Cheng Physical Review X, Vol. 8, Issue 4 https://doi.org/10.1103/physrevx.8.041040	journal	December 2018
Tunable magnetism of a hexagonal Anderson droplet on the triangular lattice Jiang, Mi arXiv https://doi.org/10.48550/arxiv.1903.09724	text	January 2019

Similar Records

Impurity-induced antiferromagnetic domains in the periodic Anderson model

Journal Article · Wed Aug 17 00:00:00 EDT 2016 · Physical Review B · OSTI ID:1344106

Benali, A.; Bai, Z. J.; Curro, N. J.; +1 more

Effects of an additional conduction band on the singlet-antiferromagnet competition in the periodic Anderson model

Journal Article · Mon Jun 12 00:00:00 EDT 2017 · Physical Review B · OSTI ID:1344106

Hu, Wenjian; Scalettar, Richard T.; Huang, Edwin W.; +1 more

Localized-to-itinerant transition preceding antiferromagnetic quantum critical point and gapless superconductivity in CeRh_0.5Ir_0.5In₅

Journal Article · Thu Aug 27 00:00:00 EDT 2020 · Communications Physics · OSTI ID:1344106

Kawasaki, Shinji; Oka, Toshihide; Sorime, Akira; +9 more

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY

Title: Impurities near an antiferromagnetic-singlet quantum critical point

Citation Formats

References (52)

Cited By (3)

Similar Records

Related Subjects