有哪些信誉好的足球投注网站Hole-pair symmetry and excitations in the strong-coupling extended t-Jz model competition b.pdf
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Hole-pair symmetry and excitations in the strong-coupling extended t-Jz model competition b
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Hole-pair symmetry and excitations in the strong-coupling extended t ? J
z
model:
competition between d-wave and p-wave
R. M. Fye
Department of Physics and Astronomy, University of New Mexico, Albuquerque, NM 87131
G. B. Martins? and E. Dagotto
Department of Physics and National High Magnetic Field Lab, Florida State University, Tallahassee, FL 32306
We analytically calculate the ground state pairing symmetry and excitation spectra of two holes
doped into the half-filled t ? t′ ? t′′ ? Jz model in the strong-coupling limit (Jz |t|, |t′|, |t′′|).
In leading order, this reduces to the t′ ? t′′ ? Jz model, where there are regions of d-wave, s-wave,
and (degenerate) p-wave symmetry. We find that the t ? Jz model maps in lowest order onto the
t′ ? t′′ ? Jz model on the boundary between d and p symmetry, with a flat lower band in the
pair excitation spectrum. In higher order, d-wave symmetry is selected from the lower pair band.
However, we observe that the addition of the appropriate t′ 0 and/or t′′ 0, the signs of t′ and
t′′ found in the hole-doped cuprates, could drive the hole-pair symmetry to p-wave, implying the
possibility of competition between p-wave and d-wave pair ground states. (An added t′ 0 and/or
t′′ 0 generally tend to promote d-wave symmetry.) We perturbatively construct an extended
quasi-pair for the t ? Jz model. In leading order, there are contributions from sites at a distance
of
√
2 lattice spacings apart; however, contributions from sites 2 lattice spacings apart, also of the
same order, vanish identically. Finally, we compare our approach with analytic calculations for a
2 × 2 plaquette and with existing numerical work, and discuss possible relevance to the physical
parameter regime.
PACS numbers: 71.27+a,74.20.Mn
I. INTRODUCTION
In recent years a number of experiments, particularly
phase-sensitive ones, have indicated that the pair symme
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