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

Title: Non-Fermi Liquid Behavior and Continuously Tunable Resistivity Exponents in the Anderson-Hubbard Model at Finite Temperature

Abstract

Here, we employ a recently developed computational many-body technique to study for the first time the half-filled Anderson-Hubbard model at finite temperature and arbitrary correlation U and disorder V strengths. Interestingly, the narrow zero temperature metallic range induced by disorder from the Mott insulator expands with increasing temperature in a manner resembling a quantum critical point. Our study of the resistivity temperature scaling T α for this metal reveals non-Fermi liquid characteristics. Moreover, a continuous dependence of α on U and V from linear to nearly quadratic is observed. We argue that these exotic results arise from a systematic change with U and V of the “effective” disorder, a combination of quenched disorder and intrinsic localized spins.

Authors:
 [1];  [2];  [1];  [3];  [3]
  1. The Univ. of Tennessee, Knoxville, TN (United States)
  2. National Institute of Science Education and Research, Jatni (India)
  3. The Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1399224
Alternate Identifier(s):
OSTI ID: 1376938
Grant/Contract Number:  
[AC05-00OR22725]
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
[ Journal Volume: 119; Journal Issue: 8]; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Patel, Niravkumar D., Mukherjee, Anamitra, Kaushal, Nitin, Moreo, Adriana, and Dagotto, Elbio R. Non-Fermi Liquid Behavior and Continuously Tunable Resistivity Exponents in the Anderson-Hubbard Model at Finite Temperature. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.119.086601.
Patel, Niravkumar D., Mukherjee, Anamitra, Kaushal, Nitin, Moreo, Adriana, & Dagotto, Elbio R. Non-Fermi Liquid Behavior and Continuously Tunable Resistivity Exponents in the Anderson-Hubbard Model at Finite Temperature. United States. doi:10.1103/PhysRevLett.119.086601.
Patel, Niravkumar D., Mukherjee, Anamitra, Kaushal, Nitin, Moreo, Adriana, and Dagotto, Elbio R. Thu . "Non-Fermi Liquid Behavior and Continuously Tunable Resistivity Exponents in the Anderson-Hubbard Model at Finite Temperature". United States. doi:10.1103/PhysRevLett.119.086601. https://www.osti.gov/servlets/purl/1399224.
@article{osti_1399224,
title = {Non-Fermi Liquid Behavior and Continuously Tunable Resistivity Exponents in the Anderson-Hubbard Model at Finite Temperature},
author = {Patel, Niravkumar D. and Mukherjee, Anamitra and Kaushal, Nitin and Moreo, Adriana and Dagotto, Elbio R.},
abstractNote = {Here, we employ a recently developed computational many-body technique to study for the first time the half-filled Anderson-Hubbard model at finite temperature and arbitrary correlation U and disorder V strengths. Interestingly, the narrow zero temperature metallic range induced by disorder from the Mott insulator expands with increasing temperature in a manner resembling a quantum critical point. Our study of the resistivity temperature scaling Tα for this metal reveals non-Fermi liquid characteristics. Moreover, a continuous dependence of α on U and V from linear to nearly quadratic is observed. We argue that these exotic results arise from a systematic change with U and V of the “effective” disorder, a combination of quenched disorder and intrinsic localized spins.},
doi = {10.1103/PhysRevLett.119.086601},
journal = {Physical Review Letters},
number = [8],
volume = [119],
place = {United States},
year = {2017},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

The normal states of magnetic d and f transition metals
journal, November 1996

  • Julian, S. R.; Pfleiderer, C.; Grosche, F. M.
  • Journal of Physics: Condensed Matter, Vol. 8, Issue 48
  • DOI: 10.1088/0953-8984/8/48/002

Parallelized traveling cluster approximation to study numerically spin-fermion models on large lattices
journal, June 2015


Numerical study of the effects of disorder on the three-dimensional Hubbard model
journal, October 2000


Anderson-Hubbard model in infinite dimensions
journal, April 1995


Orbital selective directional conductor in the two-orbital Hubbard model
journal, February 2016


The ‘strange metal’ is a projected Fermi liquid with edge singularities
journal, August 2006


Hidden Fermi Liquid: Self-Consistent Theory for the Normal State of High- T c Superconductors
journal, February 2011


A real space auxiliary field approach to the BCS-BEC crossover
journal, March 2015


Metal-insulator transition in a weakly interacting disordered electron system
journal, November 2015


Particle-Hole Symmetry and the Effect of Disorder on the Mott-Hubbard Insulator
journal, September 2001


Onset of Glassy Dynamics in a Two-Dimensional Electron System in Silicon
journal, May 2002


Disorder-driven non-Fermi liquid behaviour of correlated electrons
journal, August 2005


Fermions in 3D Optical Lattices: Cooling Protocol to Obtain Antiferromagnetism
journal, August 2011


Determinant quantum Monte Carlo study of the screening of the one-body potential near a metal-insulator transition
journal, March 2007


Melting transition of an Ising glass driven by a magnetic field
journal, February 2004


Local theory for Mott-Anderson localization
journal, December 2016


Transport and localisation in the presence of strong structural and spin disorder
journal, July 2005


Electronic Griffiths Phase of the d = 2 Mott Transition
journal, May 2009


Disorder-Driven Non-Fermi-Liquid Behavior in Kondo Alloys
journal, January 1997


Metal–insulator transition in two-dimensional electron systems
journal, December 2003


How Bad Metals Turn Good: Spectroscopic Signatures of Resilient Quasiparticles
journal, February 2013


How do Fermi liquids get heavy and die?
journal, August 2001


Anomalous pseudogap in population imbalanced Fermi superfluids
journal, October 2016


Disorder screening near the Mott–Anderson transition
journal, April 2008

  • Aguiar, M. C. O.; Dobrosavljević, V.; Abrahams, E.
  • Physica B: Condensed Matter, Vol. 403, Issue 5-9
  • DOI: 10.1016/j.physb.2007.10.213

Inhomogeneous Metallic Phase in a Disordered Mott Insulator in Two Dimensions
journal, September 2004


Dynamical mean field study of the two-dimensional disordered Hubbard model
journal, February 2008


Angle-resolved photoemission studies of the cuprate superconductors
journal, April 2003

  • Damascelli, Andrea; Hussain, Zahid; Shen, Zhi-Xun
  • Reviews of Modern Physics, Vol. 75, Issue 2
  • DOI: 10.1103/RevModPhys.75.473

Anderson localization effects near the Mott metal-insulator transition
journal, September 2015


Singular Effect of Disorder on Electronic Transport in Strongly Coupled Electron-Phonon Systems
journal, April 2005


Localization-Induced Griffiths Phase of Disordered Anderson Lattices
journal, January 2001


Disorder Screening in Strongly Correlated Systems
journal, August 2003


Disordered quantum gases under control
journal, February 2010

  • Sanchez-Palencia, Laurent; Lewenstein, Maciej
  • Nature Physics, Vol. 6, Issue 2
  • DOI: 10.1038/nphys1507

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
  • DOI: 10.1038/nature14165

YbRh 2 Si 2 : Pronounced Non-Fermi-Liquid Effects above a Low-Lying Magnetic Phase Transition
journal, July 2000


Competition between Anderson Localization and Antiferromagnetism in Correlated Lattice Fermion Systems with Disorder
journal, April 2009


Mott-Hubbard and Anderson metal-insulator transitions in correlated lattice fermions with binary disorder
journal, March 2010


Testing the Monte Carlo–mean field approximation in the one-band Hubbard model
journal, November 2014


Universal Behavior of the Resistance Noise across the Metal-Insulator Transition in Silicon Inversion Layers
journal, December 2002


Phase diagram of the three-dimensional Hubbard model at half filling
journal, October 2000

  • Staudt, R.; Dzierzawa, M.; Muramatsu, A.
  • The European Physical Journal B, Vol. 17, Issue 3
  • DOI: 10.1007/s100510070120

Signatures of spin and charge energy scales in the local moment and specific heat of the half-filled two-dimensional Hubbard model
journal, March 2001


Mott-Hubbard transition and spin-liquid state on the pyrochlore lattice
journal, October 2016


Mechanism of Hopping Transport in Disordered Mott Insulators
journal, September 2004


Breakup of Heavy Fermions on the Brink of “Phase A ” in CeCu 2 Si 2
journal, August 1998


Interacting Electrons in a Two-Dimensional Disordered Environment: Effect of a Zeeman Magnetic Field
journal, June 2003


Origins of bad-metal conductivity and the insulator–metal transition in the rare-earth nickelates
journal, March 2014

  • Jaramillo, R.; Ha, Sieu D.; Silevitch, D. M.
  • Nature Physics, Vol. 10, Issue 4
  • DOI: 10.1038/nphys2907

Emergence of a Novel Pseudogap Metallic State in a Disordered 2D Mott Insulator
journal, May 2014


Landau theory of the Fermi-liquid to electron-glass transition
journal, August 2002


Delocalizing effect of the Hubbard repulsion for electrons on a two-dimensional disordered lattice
journal, May 2003

  • Srinivasan, Bhargavi; Benenti, Giuliano; Shepelyansky, Dima L.
  • Physical Review B, Vol. 67, Issue 20
  • DOI: 10.1103/PhysRevB.67.205112

Spectroscopic signatures of the Mott transition on the anisotropic triangular lattice
journal, October 2014


Semiclassical approach to calculating the influence of local lattice fluctuations on electronic properties of metals
journal, April 2003


Disorder Effects in Electronic Structure of Substituted Transition Metal Compounds
journal, May 1998


Disorder and Interaction in 2D: Exact Diagonalization Study of the Anderson-Hubbard-Mott Model
journal, March 2001


Scaling of an anomalous metal-insulator transition in a two-dimensional system in silicon at B =0
journal, March 1995

  • Kravchenko, S. V.; Mason, Whitney E.; Bowker, G. E.
  • Physical Review B, Vol. 51, Issue 11
  • DOI: 10.1103/PhysRevB.51.7038

A travelling cluster approximation for lattice fermions strongly coupled to classical degrees of freedom
journal, April 2006


Metallic spin glasses
journal, November 1996


A coherent three-dimensional Fermi surface in a high-transition-temperature superconductor
journal, October 2003

  • Hussey, N. E.; Abdel-Jawad, M.; Carrington, A.
  • Nature, Vol. 425, Issue 6960
  • DOI: 10.1038/nature01981

Effective-field theory of local-moment formation in disordered metals
journal, July 1989

  • Milovanović, Milica; Sachdev, Subir; Bhatt, R. N.
  • Physical Review Letters, Vol. 63, Issue 1
  • DOI: 10.1103/PhysRevLett.63.82