Small-cluster study of a single-hole t - J model

Journal Article · Thu Aug 01 04:00:00 EDT 1991 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.44.2276· OSTI ID:5470700

Xiang, T ^[1]

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1. Department of Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX13NP (United Kingdom)

We have studied hole states on square lattices with 8, 10, 16, 18, and 20 sites by exactly diagonalizing the single-hole {ital t}-{ital J} model with twisted boundary conditions in the whole Brillouin zone. The bottom of the hole band is found to be extremely flat and anisotropic. The hole effective mass is highly anisotropic and enhanced in a quantum antiferromagnet. The momentum of a hole in the ground state is not located at high-symmetry points such as ({plus minus}{pi}/2,{plus minus}{pi}/2), ({plus minus}{pi},0), or (0,{plus minus}{pi}). They are strongly lattice-size dependent and weakly parameter {ital J}/{ital t} ({ital t} is the hopping constant and {ital J} is the exchange constant) dependent. As the lattice size increases, the momentum of the ground state approaches the zone face center ({plus minus}{pi}/2,{plus minus}{pi}/2).

• OSTI ID: 5470700
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 44:5; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360204* -- Ceramics
Cermets
& Refractories-- Physical Properties
ANISOTROPY
ANTIFERROMAGNETISM
BAND THEORY
BRILLOUIN ZONES
EFFECTIVE MASS
ENERGY LEVELS
EXCHANGE INTERACTIONS
GROUND STATES
HIGH-TC SUPERCONDUCTORS
HOLES
INTERACTIONS
LATTICE PARAMETERS
MAGNETISM
MASS
SOLID CLUSTERS
SUPERCONDUCTORS
ZONES