Many-body basis-set reduction applied to the two-dimensional [ital t]-[ital J][sub [ital z]] model

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

DOI:https://doi.org/10.1103/PhysRevB.47.15346· OSTI ID:6769419

Riera, J; Dagotto, E ^[1]

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1. Department of Physics, Center for Materials Research and Technology Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306 (United States)

A simple variation of the Lanczos method is discussed. The technique is based on a systematic reduction of the size of the Hilbert space of the model under consideration, and it has many similarities with the basis-set-reduction approach recently introduced by Wenzel and Wilson in the context of quantum chemistry. As an example, the two-dimensional [ital t]-[ital J][sub [ital z]] model of strongly correlated electrons is studied. Accurate results for the ground-state energy can be obtained on clusters of up to 50 sites, which are unreachable by conventional Lanczos approaches. In particular, the energy of one and two holes is analyzed as a function of [ital J][sub [ital z]]/[ital t]. In the bulk limit, the numerical results suggest that a finite coupling [ital J][sub [ital z]]/[ital t]/[sub [ital c]][similar to]0.18 is necessary to induce binding'' of holes in the model.

• OSTI ID: 6769419
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 47:22; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BANACH SPACE
CLUSTER EXPANSION
ELECTRON-ELECTRON INTERACTIONS
ENERGY LEVELS
GROUND STATES
HIGH-TC SUPERCONDUCTORS
HILBERT SPACE
HOLES
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE INTERACTIONS
SERIES EXPANSION
SPACE
STATISTICAL MODELS
SUPERCONDUCTORS
TWO-DIMENSIONAL CALCULATIONS