The t-J model at small t/j: Numerical, perturbative, and supersymmetric results

Conference · Fri Feb 01 04:00:00 EST 1991

OSTI ID:6091539

Barnes, T ^[1]

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1. Oak Ridge National Lab., TN (USA). Center for Computationally Intensive Physics Tennessee Univ., Knoxville, TN (USA). Dept. of Physics

We discuss some recent results for one- and two-hole states in the t-J model at small t/J. These include numerical results (bandwidth determinations and accurate t/J values for 4 {times} 4 lattice one-hole ground-state level crossings), hopping-parameter perturbation theory (which gives the small-t/J one-hole bandwidth in terms of the static-vacancy ground state), and results at the supersymmetric point t/J = 1/2 (exact results for energies and bandwidths.) The perturbative results leads us to a new conjecture regarding the staggered magnetization of higher-spin states in the two-dimensional Heisenberg model. We also discuss extrapolation of small-t/J results to high-{Tc} parameter values; in the two-hole ground states we find (t/J){sup {lambda}} behavior in the rms hole-hole separation, and an extrapolation to t/J = 3 gives a bulk-limit rms hole-hole separation of {approx} 7{angstrom}. 18 refs., 6 figs.

• Research Organization: Oak Ridge National Lab., TN (USA). Center for Computationally Intensive Physics
• Sponsoring Organization: DOE; STOFTN; USDOE, Washington, DC (USA); Tennessee State Government, Nashville, TN (USA)
• DOE Contract Number: AC05-84OR21400; AS05-76ER03956
• OSTI ID: 6091539
• Report Number(s): ORNL/CCIP-91/03; UTK--91/01; CONF-910190--1; ON: DE91009921; CNN: R01-1061-68
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
CRYSTAL MODELS
ELECTRONIC STRUCTURE
ENERGY LEVELS
EXTRAPOLATION
HAMILTONIANS
HEISENBERG MODEL
HIGH SPIN STATES
HIGH-TC SUPERCONDUCTORS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUMERICAL SOLUTION
PARTICLE PROPERTIES
PERTURBATION THEORY
QUANTUM OPERATORS
SPIN
SUPERCONDUCTORS
SUPERSYMMETRY
SYMMETRY