Study on the Superfluid Transition Temperature of ⁴He in Zeolite by the Quantum Lattice Gas Model

Abstract

The superfluid transition temperature T_c is calculated for the ⁴He system in a model substrate of zeolite by the quantum lattice gas model. The reduction of T_c due to the geometry of the substrate is calculated by the quantum renormalization method. The result shows that T_c is proportional to 1⁄\sqrtL (L: the pore length), in contrast with the classical result that T_c∝1⁄L, and the superfluidity is expected to be observed experimentally unless the pore of zeolite is too long.