G. Blatter et Bi. Ivlev, QUANTUM-STATISTICAL MECHANICS OF VORTICES IN HIGH-TEMPERATURE SUPERCONDUCTORS, Physical review. B, Condensed matter, 50(14), 1994, pp. 10272-10286
Starting from the vortex equation of motion, we construct an effective
Euclidean action and formulate the quantum statistical mechanics of t
he vortex system. The formalism is applied to the calculation of vario
us thermodynamic quantities such as the specific heat and the magnetic
susceptibility of the vortex lattice. Furthermore, we investigate the
effect of quantum fluctuations on the vortex-lattice melting transiti
on.