Phase fluctuations of s-wave superconductors on a lattice

Abstract

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.

3 figures

References in corpus (7)

• Phase Fluctuations and Pseudogap Phenomena
• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• Finite Temperature Time-Dependent Effective Theory for the Phase Field in two-dimensional d-wave Neutral Superconductor
• Transport properties in the d-density wave state: Wiedemann-Franz law
• Phase fluctuations in superconductors: from Galilean invariant to quantum XY models
• An effective Hamiltonian for phase fluctuations on a lattice: an extended XY model
• Nodal quasiparticles and classical phase fluctuations in d-wave superconductors

Cited by in corpus (1)

• Effective action for phase fluctuations in d-wave superconductors near a Mott transition