Session CE - Condensed Matter Physics.
MIXED session, Saturday morning, November 02
Room 222, Morton Hall
The inconclusiveness of superconductor theory leads to our attempt to interpret the superconducting states of solids by adapting the well-established low-temperature theory. Both optical and acoustic modes of virtual phonons are replaced with real phonons of thermal excitations. The interaction Hamiltonian is constructed with the annihilation and creation operators of the phonon field and of the quantized electron field. The energy spectrum of the electrons dressed in the phonon field thus is calculated with the variational technique by including the phonon-phonon interactions. At the critical temperature, the polarization field induced in the lattice of a superconductor material undresses the electrons and creates a ``tunnel'' for them to perform a free flight through the lattice. The derived effective mass of the electrons suggests the same behavior through the activated state of the electrons rather than the trapped state. The divergence of the quantum current-current autocorrelation function reveals the transition temperature.
