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Title: Extremely correlated Fermi liquid theory of the t-J model in 2 dimensions: low energy properties

Abstract

Low energy properties of the metallic state of the two-dimensional t-J model are presented for second neighbor hopping with hole-doping ($$t^{\prime} \leqslant 0$$) and electron-doping ($$t^{\prime} \gt 0$$), with various superexchange energy J. We use a closed set of equations for the Greens functions obtained from the extremely correlated Fermi liquid theory. These equations reproduce the known low energies features of the large U Hubbard model in infinite dimensions. The density and temperature dependent quasiparticle weight, decay rate and the peak spectral heights over the Brillouin zone are calculated. We also calculate the resistivity, Hall conductivity, Hall number and cotangent Hall angle. The spectral features display high thermal sensitivity at modest T for density $$n\gtrsim 0.8$$, implying a suppression of the effective Fermi-liquid temperature by two orders of magnitude relative to the bare bandwidth. The cotangent Hall angle exhibits a T2 behavior at low T, followed by an interesting kink at higher T. The Hall number exhibits strong renormalization due to correlations. Flipping the sign of $$t^{\prime} $$ changes the curvature of the resistivity versus T curves between convex and concave. Furthermore our results provide a natural route for understanding the observed difference in the temperature dependent resistivity of strongly correlated electron-doped and hole-doped matter.

Authors:
;
Publication Date:
Research Org.:
Univ. of California, Santa Cruz, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1437768
Alternate Identifier(s):
OSTI ID: 1500089
Grant/Contract Number:  
FG02-06ER46319.; FG02-06ER46319
Resource Type:
Published Article
Journal Name:
New Journal of Physics
Additional Journal Information:
Journal Name: New Journal of Physics Journal Volume: 20 Journal Issue: 1; Journal ID: ISSN 1367-2630
Publisher:
IOP Publishing
Country of Publication:
United Kingdom
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; strong correlations; 2-dimensional t-J model; temperature dependent resistivity; cotangent Hall angle; extremely correlated Fermi liquid

Citation Formats

Shastry, B. Sriram, and Mai, Peizhi. Extremely correlated Fermi liquid theory of the t-J model in 2 dimensions: low energy properties. United Kingdom: N. p., 2018. Web. https://doi.org/10.1088/1367-2630/aa9b74.
Shastry, B. Sriram, & Mai, Peizhi. Extremely correlated Fermi liquid theory of the t-J model in 2 dimensions: low energy properties. United Kingdom. https://doi.org/10.1088/1367-2630/aa9b74
Shastry, B. Sriram, and Mai, Peizhi. Mon . "Extremely correlated Fermi liquid theory of the t-J model in 2 dimensions: low energy properties". United Kingdom. https://doi.org/10.1088/1367-2630/aa9b74.
@article{osti_1437768,
title = {Extremely correlated Fermi liquid theory of the t-J model in 2 dimensions: low energy properties},
author = {Shastry, B. Sriram and Mai, Peizhi},
abstractNote = {Low energy properties of the metallic state of the two-dimensional t-J model are presented for second neighbor hopping with hole-doping ($t^{\prime} \leqslant 0$) and electron-doping ($t^{\prime} \gt 0$), with various superexchange energy J. We use a closed set of equations for the Greens functions obtained from the extremely correlated Fermi liquid theory. These equations reproduce the known low energies features of the large U Hubbard model in infinite dimensions. The density and temperature dependent quasiparticle weight, decay rate and the peak spectral heights over the Brillouin zone are calculated. We also calculate the resistivity, Hall conductivity, Hall number and cotangent Hall angle. The spectral features display high thermal sensitivity at modest T for density $n\gtrsim 0.8$, implying a suppression of the effective Fermi-liquid temperature by two orders of magnitude relative to the bare bandwidth. The cotangent Hall angle exhibits a T2 behavior at low T, followed by an interesting kink at higher T. The Hall number exhibits strong renormalization due to correlations. Flipping the sign of $t^{\prime} $ changes the curvature of the resistivity versus T curves between convex and concave. Furthermore our results provide a natural route for understanding the observed difference in the temperature dependent resistivity of strongly correlated electron-doped and hole-doped matter.},
doi = {10.1088/1367-2630/aa9b74},
journal = {New Journal of Physics},
number = 1,
volume = 20,
place = {United Kingdom},
year = {2018},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1088/1367-2630/aa9b74

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Cited by: 4 works
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Low-energy physics of the t J model in d = using extremely correlated Fermi liquid theory: Cutoff second-order equations
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Extremely correlated Fermi liquid theory meets dynamical mean-field theory: Analytical insights into the doping-driven Mott transition
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Extremely correlated Fermi liquid study of the U = Anderson impurity model
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How Bad Metals Turn Good: Spectroscopic Signatures of Resilient Quasiparticles
journal, February 2013


Hidden Fermi Liquid, Scattering Rate Saturation, and Nernst Effect: A Dynamical Mean-Field Theory Perspective
journal, July 2013


Extremely correlated Fermi liquids: The formalism
journal, March 2013


One-band tight-binding model parametrization of the high- T c cuprates including the effect of k z dispersion
journal, August 2005


Theory of Raman scattering in Mott-Hubbard systems
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Superconductivity in Bad Metals
journal, April 1995


Electronic Phase Diagram of High- T c Cuprate Superconductors from a Mapping of the In-Plane Resistivity Curvature
journal, December 2004


Charge dynamics in underdoped Nd 2 x Ce x CuO 4 :   Pseudogap and related phenomena
journal, January 2004


Hidden Fermi-liquid Charge Transport in the Antiferromagnetic Phase of the Electron-Doped Cuprate Superconductors
journal, November 2016


Conductivity and Hall effect in the two-dimensional Hubbard model
journal, June 1992


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journal, September 1969

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  • Progress of Theoretical Physics, Vol. 42, Issue 3
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A General Expression for Hall Coefficient Based on Fermi Liquid Theory
journal, October 1988

  • Kohno, H.; Yamada, K.
  • Progress of Theoretical Physics, Vol. 80, Issue 4
  • DOI: 10.1143/PTP.80.623

Transport functions for hypercubic and Bethe lattices
journal, November 2013


Effect of Zn impurities on the normal-state Hall angle in single-crystal YBa_{2}Cu_{3-x}Zn_{x}O_{7-δ}
journal, October 1991


Comment on “Anomalous Hall Effect in YB a 2 C u 3 O 7
journal, February 1997


Strange metal from Gutzwiller correlations in infinite dimensions: Transverse transport, optical response, and rise of two relaxation rates
journal, September 2017


Evolution of the Hall Coefficient and the Peculiar Electronic Structure of the Cuprate Superconductors
journal, May 2004


Scaling of the temperature dependent Hall effect in La 2 x Sr x CuO 4
journal, April 1994


Quantum Phase Transition in the Magnetic-Field-Induced Normal State of Optimum-Doped High- T c Cuprate Superconductors at Low Temperatures
journal, January 2009


XSEDE: Accelerating Scientific Discovery
journal, September 2014

  • Towns, John; Cockerill, Timothy; Dahan, Maytal
  • Computing in Science & Engineering, Vol. 16, Issue 5
  • DOI: 10.1109/MCSE.2014.80

Extremely correlated Fermi liquids: Self-consistent solution of the second-order theory
journal, June 2013


    Works referencing / citing this record:

    Influence of magnetism and correlation on the spectral properties of doped Mott insulators
    journal, March 2018


    Nonresonant Raman scattering in extremely correlated Fermi liquids
    journal, September 2018


    Extremely correlated Fermi liquid of the t J model in two dimensions
    journal, November 2018