Hole dynamics in the t - J model: An exact diagonalization study

Journal Article · Wed Nov 01 04:00:00 EST 1989 · Physical Review (Section) B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.40.9035· OSTI ID:5283545

Hasegawa, Y; Poilblanc, D ^[1]

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1. Theoretische Physik, Eidgenossische Technische Hochschule Honggerberg, CH-8093 Zurich, Switzerland (CH)

Exact many-body states of square clusters up to 18 sites (with periodic boundary conditions) are investigated in order to study the dynamics of one or two holes in the {ital t}-{ital J} model. Our method takes full advantage of the translation, rotation, and reflection symmetries of the cluster. Using a modified Lanczos algorithm, we calculate the lowest state of all the different space-group representations and its total spin as well as its spin and hole correlations. For a single hole, at intermediate {ital J}/{ital t} values, the magnetic, kinetic energies, and staggered magnetization follow {ital J}/{ital t} power-law behaviors with size-dependent exponents. A binding energy of order {ital J} between two holes appears for sufficiently large {ital J}/{ital t}({ge}0.25). One-hole and two-hole calculations give different results regarding the stability of the Nagaoka state (against the singlet state) when {ital J}/{ital t}{r arrow}0. Energy expectation values of variational resonating-valence-bond states are calculated exactly and optimized. Significant overlaps with the exact states are found for any symmetry.

• OSTI ID: 5283545
• Journal Information: Physical Review (Section) B: Condensed Matter; (USA), Journal Name: Physical Review (Section) B: Condensed Matter; (USA) Vol. 40:13; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
CHALCOGENIDES
COPPER COMPOUNDS
COPPER OXIDES
CORRELATIONS
D STATES
ELECTRON CORRELATION
ENERGY LEVELS
HAMILTONIANS
HOLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
OXIDES
OXYGEN COMPOUNDS
P STATES
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
QUANTUM OPERATORS
SPIN
SUPERCONDUCTORS
THERMODYNAMIC PROPERTIES
TRANSITION ELEMENT COMPOUNDS
TRANSITION TEMPERATURE