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Title: Charge and spin structures of a d{sub x{sup 2}{minus}y{sup 2}} superconductor in the proximity of an antiferromagnetic Mott insulator

Abstract

To the Hubbard model on a square lattice we add an interaction W that depends upon the square of a near-neighbor hopping. We use zero-temperature quantum Monte Carlo simulations on lattice sizes up to 16{times}16, to show that at half-filling and constant value of the Hubbard repulsion, the interaction W triggers a quantum transition between an antiferromagnetic Mott insulator and a d{sub x{sup 2}{minus}y{sup 2}} superconductor. With a combination of finite-temperature quantum Monte Carlo simulations and the maximum entropy method, we study spin and charge degrees of freedom in the superconducting state. We give numerical evidence for the occurrence of a finite-temperature Kosterlitz-Thouless transition to the d{sub x{sup 2}{minus}y{sup 2}} superconducting state. Above and below the Kosterlitz-Thouless transition temperature, T{sub KT}, we compute the one-electron density of states N({omega}), the spin relaxation rate 1/T{sub 1}, as well as the imaginary and real part of the spin susceptibility {chi}({rvec q},{omega}). The spin dynamics are characterized by the vanishing of 1/T{sub 1} and divergence of Re{chi}{bold (}{rvec q}=({pi},{pi}),{omega}=0{bold )} in the low-temperature limit. As T{sub KT} is approached N({omega}) develops a pseudogap feature and below T{sub KT}Im{chi}{bold (}{rvec q}=({pi},{pi}),{omega}{bold )} shows a peak at finite frequency. {copyright} {ital 1997} {ital The Americanmore » Physical Society}« less

Authors:
 [1];  [2];  [1]
  1. Department of Physics, University of California, Santa Barbara, California 93106-9530 (United States)
  2. Institute for Solid State Physics, University of Tokyo, 7-22-1 Roppongi, Minato-ku, Tokyo 106 (Japan)
Publication Date:
OSTI Identifier:
554362
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 56; Journal Issue: 23; Other Information: PBD: Dec 1997
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; SUPERCONDUCTORS; CHARGE STATES; SPIN; ELECTRICAL INSULATORS; SIMULATION; HUBBARD MODEL; KOSTERLITZ-THOULESS THEORY; TRANSITION TEMPERATURE; MONTE CARLO METHOD; MAGNETIC SUSCEPTIBILITY; ANTIFERROMAGNETIC MATERIALS

Citation Formats

Assaad, F F, Imada, M, and Scalapino, D J. Charge and spin structures of a d{sub x{sup 2}{minus}y{sup 2}} superconductor in the proximity of an antiferromagnetic Mott insulator. United States: N. p., 1997. Web. doi:10.1103/PhysRevB.56.15001.
Assaad, F F, Imada, M, & Scalapino, D J. Charge and spin structures of a d{sub x{sup 2}{minus}y{sup 2}} superconductor in the proximity of an antiferromagnetic Mott insulator. United States. doi:10.1103/PhysRevB.56.15001.
Assaad, F F, Imada, M, and Scalapino, D J. Mon . "Charge and spin structures of a d{sub x{sup 2}{minus}y{sup 2}} superconductor in the proximity of an antiferromagnetic Mott insulator". United States. doi:10.1103/PhysRevB.56.15001.
@article{osti_554362,
title = {Charge and spin structures of a d{sub x{sup 2}{minus}y{sup 2}} superconductor in the proximity of an antiferromagnetic Mott insulator},
author = {Assaad, F F and Imada, M and Scalapino, D J},
abstractNote = {To the Hubbard model on a square lattice we add an interaction W that depends upon the square of a near-neighbor hopping. We use zero-temperature quantum Monte Carlo simulations on lattice sizes up to 16{times}16, to show that at half-filling and constant value of the Hubbard repulsion, the interaction W triggers a quantum transition between an antiferromagnetic Mott insulator and a d{sub x{sup 2}{minus}y{sup 2}} superconductor. With a combination of finite-temperature quantum Monte Carlo simulations and the maximum entropy method, we study spin and charge degrees of freedom in the superconducting state. We give numerical evidence for the occurrence of a finite-temperature Kosterlitz-Thouless transition to the d{sub x{sup 2}{minus}y{sup 2}} superconducting state. Above and below the Kosterlitz-Thouless transition temperature, T{sub KT}, we compute the one-electron density of states N({omega}), the spin relaxation rate 1/T{sub 1}, as well as the imaginary and real part of the spin susceptibility {chi}({rvec q},{omega}). The spin dynamics are characterized by the vanishing of 1/T{sub 1} and divergence of Re{chi}{bold (}{rvec q}=({pi},{pi}),{omega}=0{bold )} in the low-temperature limit. As T{sub KT} is approached N({omega}) develops a pseudogap feature and below T{sub KT}Im{chi}{bold (}{rvec q}=({pi},{pi}),{omega}{bold )} shows a peak at finite frequency. {copyright} {ital 1997} {ital The American Physical Society}},
doi = {10.1103/PhysRevB.56.15001},
journal = {Physical Review, B: Condensed Matter},
number = 23,
volume = 56,
place = {United States},
year = {1997},
month = {12}
}