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Mean field theory of superconductivity in strong correlations

✍ Scribed by Hidetoshi Fukuyama; Yasumasa Hasegawa; Yoshikazu Suzumura


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
401 KB
Volume
153-155
Category
Article
ISSN
0921-4534

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✦ Synopsis


The implications of the mean field approximation are explored for the coupled fermion(spinon)boson(holon) system representing the strong correlations in the two-dimensional Hubbard model. There exists a sharp crossover as a function of the density of holons depending on which of the RVB correlation and the coherent motion of holon is stabilized first. Here the RVB order parameters in the x and y directions are assumed to have same amplitude but with arbitrary phases. The bose condensation of holons is also examined by taking into account of weak interlayer electron transfer integral.

It is found that anomalies of physical quantities at the superconducting transition are markedly different in each side of this crossover, which should be checked experimentally.


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Analytically tractable mean-field theory
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A mean-field theory for the Hubbard model at strong-coupling is presented. It extends the well-known, but ad hoc, alloy-analogy approximation and puts it on a firm, thermodynamically consistent basis. The magnetic ordering is studied and the mean-field phase diagram in the U -n plane is determined f