Physics – Condensed Matter – Superconductivity
Scientific paper
2003-09-10
Physics
Condensed Matter
Superconductivity
3 figures
Scientific paper
10.1023/B:JOLT.0000024550.59637.
Based on an attractive $U$ Hubbard model on a lattice with up to second neighbor hopping we derive an effective Hamiltonian for phase fluctuations. The superconducting gap is assumed to have s-wave symmetry. The effective Hamiltonian we finally arrive at is of the extended XY type. While it correctly reduces to a simple XY in the continuum limit, in the general case, it contains higher neighbor interaction in spin space. An important feature of our Hamiltonian is that it gives a much larger fluctuation region between the Berezinskii-Kosterlitz-Thouless transition temperature identified with $T_{c}$ for superconducting and the mean field transition temperature identified with the pseudogap temperature.
Carbotte Jules P.
Kim Wonkee
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