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 nearneighbor hopping. We use zerotemperature quantum Monte Carlo simulations on lattice sizes up to 16{times}16, to show that at halffilling 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 finitetemperature 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 finitetemperature KosterlitzThouless transition to the d{sub x{sup 2}{minus}y{sup 2}} superconducting state. Above and below the KosterlitzThouless transition temperature, T{sub KT}, we compute the oneelectron 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 lowtemperature 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 »
 Authors:

 Department of Physics, University of California, Santa Barbara, California 931069530 (United States)
 Institute for Solid State Physics, University of Tokyo, 7221 Roppongi, Minatoku, 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; KOSTERLITZTHOULESS 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 nearneighbor hopping. We use zerotemperature quantum Monte Carlo simulations on lattice sizes up to 16{times}16, to show that at halffilling 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 finitetemperature 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 finitetemperature KosterlitzThouless transition to the d{sub x{sup 2}{minus}y{sup 2}} superconducting state. Above and below the KosterlitzThouless transition temperature, T{sub KT}, we compute the oneelectron 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 lowtemperature 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}
}