Generalized Coherent State Derivation of TDDFT Equations for Superconductors
Abstract
Equations of motion are derived for the normal and the anomalous single-electron density matrices of a Fermi liquid using a time dependent finite temperature generalized coherent state (GCS) variational ansatz for the many-body density matrix. Self-consistent equations for the order parameter Δ allow to investigate the interplay of Coulomb repulsion and pairing attraction in homogeneous and inhomogeneous Fermi-liquids with spontaneously broken symmetry such as high temperature superconductors. The temperature of the Kosterlitz-Thouless transition to the two-dimensional superfluidity is calculated.
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