On thermodynamic properties of statistical spin liquids

Abstract

Two specific variants of statistical spin liquid model formulated by spalek and developed by Czerwonko are considered. In the first case, the double spin occupancy of the same quasimomenta is forbidden and in the second—the triple quasiparticle occupancy of two states with opposite quasimomenta is not allowed. Two different probabilities of spontaneous Cooper pair creation in both the systems are obtained. In order to derive thermodynamic functions we employ the formalism based on the kernel function of the gap equation. Temperature dependences of energy gap, thermodynamic potential difference between S-paired and normal states and heat capacity, reveal some anomalous properties. Some of them seem to have a non-physical character. The results are always referenced to those of the normal BCS system.