Coupled-cluster method applied to the motion of a single hole in a Hubbard antiferromagnet

Journal Article · Tue Feb 01 04:00:00 EST 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.49.3453· OSTI ID:6669138

Petit, F; Roger, M ^[1]

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1. Service de Physique de l'Etat Condense, Orme des Merisiers, Commissariat a l'Energie Atomique, Centre d'Etudes de Saclay, 91191 Gif-sur-Yvette Cedex (France)

The coupled-cluster method has recently proved to be efficient in calculating the ground state of strongly interacting spins or fermions on lattices. We apply it to the ground state of one hole in the half-filled Hubbard model on a two-dimensional square lattice. In a wide range for the interaction 10[approx lt][ital U]/[ital t][approx lt]80, the ground-state energy of a hole is fitted by a simple function [epsilon]/[ital t][approx][minus]3.40+8.9([ital t]/[ital U])[sup 0.70], in good agreement with the results obtained through exact diagonalizations on small clusters. The effective mass of a hole [ital m][sup *]=8[ital t]/[ital W] ([ital W] represents the bandwidth) is proportional to [ital U]/[ital T] ([ital m][sup *][approx]0.845[ital U]/[ital t]) for 5[approx lt][ital U]/[ital t][approx lt]20 and saturates to a constant value [ital m][sup *][approx]84 for large [ital U]/[ital t].

• OSTI ID: 6669138
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 49:5; 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
CRYSTAL MODELS
EFFECTIVE MASS
ELECTRONIC STRUCTURE
ENERGY LEVELS
GROUND STATES
HIGH-TC SUPERCONDUCTORS
HOLE MOBILITY
HUBBARD MODEL
MAGNETISM
MASS
MATHEMATICAL MODELS
MOBILITY
SUPERCONDUCTORS