Variational state based on the Bethe-ansatz solution and a correlated singlet liquid state in the one-dimensional {ital t}-{ital J} model

Journal Article · Fri Nov 01 04:00:00 EST 1996 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.54.13129· OSTI ID:389329

Kobayashi, K ^[1]; Ohe, C; Iguchi, K ^[2]

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1. Department of Natural Science, Chiba Institute of Technology, 2-1-1, Shibazono, Narashino-shi, Chiba 275 (Japan)
2. Department of Chemistry, School of Science and Engineering, Waseda University, Tokyo 169 (Japan)

The one-dimensional {ital t}-{ital J} model is investigated by the variational Monte Carlo method. A variational wave function based on the Bethe-ansatz solution is proposed, where the spin-charge separation is realized and a long-range correlation factor of Jastrow-type is included. In most regions of the phase diagram, this wave function provides an excellent description of the ground-state properties characterized as a Tomonaga-Luttinger liquid; both the amplitude and exponent of correlation functions are correctly reproduced. For the spin-gap phase, another trial state of correlated singlet pairs with a Jastrow factor is introduced. This wave function shows generalized Luther-Emery-liquid behavior, exhibiting enhanced superconducting correlations and exponential decay of the spin correlation function. Using these two variational wave functions, the whole phase diagram is determined. In addition, relations between the correlation exponent and variational parameters in the trial functions are derived. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 389329
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 18 Vol. 54; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CRYSTAL MODELS
ELECTRON CORRELATION
ELECTRON GAS
GROUND STATES
HIGH-TC SUPERCONDUCTORS
MONTE CARLO METHOD
ONE-DIMENSIONAL CALCULATIONS
PHASE DIAGRAMS
VARIATIONAL METHODS