Binding of holes and the pair spectral function in the [ital t]-[ital J] model

Journal Article · Sun Aug 01 04:00:00 EDT 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.48.3368· OSTI ID:5528663

Poilblanc, D ^[1]

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1. Laboratoire de Physique Quantique, Universite Paul Sabatier, 31062 Toulouse (France)

Clusters of the two-dimensional [ital t]-[ital J] model with two holes and up to 26 sites are diagonalized using a Lanczos algorithm. The behavior of the binding energy with system size suggests the existence of a finite critical value of [ital J] above which binding occurs in the bulk. Only the [ital d]-[ital wave] pair-field operator acting on the Heisenberg ground state has a finite overlap with the two-hole ground state for all the clusters considered. The related spectral function associated with the propagation of a [ital d]-wave (singlet) pair of holes in the antiferromagnetic background is calculated. The quasiparticle peak at the bottom of the spectrum as well as some structure appearing above the peak survive with increasing cluster size. Although no simple scaling law was found for the quasiparticle weight the data strongly suggest that this weight is finite in the bulk limit and is roughly proportional to the antiferromagnetic coupling [ital J] (for [ital J][lt]1).

• OSTI ID: 5528663
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 48:5; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360207* -- Ceramics
Cermets
& Refractories-- Superconducting Properties-- (1992-)
ANTIFERROMAGNETISM
BINDING ENERGY
COMPUTERIZED SIMULATION
CRYSTAL MODELS
ENERGY
EXCHANGE INTERACTIONS
HIGH-TC SUPERCONDUCTORS
HOLES
HUBBARD MODEL
INTERACTIONS
MAGNETISM
MATHEMATICAL MODELS
SCALING LAWS
SIMULATION
SUPERCONDUCTORS