{ital d}{sub {ital x}{sup 2}{minus}{ital y}{sup 2}} superconductivity in a model of correlated fermions

Journal Article · Mon Jul 01 04:00:00 EDT 1996 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.54.R768· OSTI ID:285979

Nazarenko, A; Moreo, A; Dagotto, E ^[1]; Riera, J ^[2]

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1. Department of Physics and National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32306 (United States)
2. Instituto de Fisica Rosario, Avda. 27 de Febrero 210 bis, 2000 Rosario (Argentina)

A two-dimensional fermionic model with attractive interactions is discussed. Its form is motivated by the phenomenology of the underdoped high-{ital T}{sub {ital c}} cuprates, as discussed in previous literature. The exact solution to the two-particle problem leads to a bound state in the {ital d}{sub {ital x}{sup 2}{minus}{ital y}{sup 2}} subspace. Numerical techniques show that the model has strong {ital d}{sub {ital x}{sup 2}{minus}{ital y}{sup 2}} pairing correlations in the ground state at low fermionic density. Within a self-consistent random phase approximation diagrammatic study, the model has a {ital d}-wave superconducting (SC) phase. The density dependence of the critical temperature is calculated. We argue that in the context of {ital d}-wave SC this model fulfills the role that the attractive on-site Hubbard model has played for {ital s}-wave SC. We also show that another candidate, the attractive {ital t}-{ital U}-{ital V} model, is actually not useful as a toy model for {ital d}-wave SC for a variety of reasons. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 285979
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 2 Vol. 54; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CUPRATES
D WAVES
FERMIONS
GROUND STATES
HUBBARD MODEL
NUMERICAL SOLUTION
PAIRING INTERACTIONS
SUPERCONDUCTIVITY