TWO-BOUNDARY INTEGRABILITY AND THE JOSEPHSON CURRENT IN A LUTTINGER LIQUID

摘要

The Josephson current through a Luttinger liquid in contact with two superconductors is studied, using a formalism based on the integrability of an effective model (the two-boundary sine-Gordon model). We show how the boundary parameter dependence of the ground-state energy yields the zero-temperature current, and provide the complete crossover function between the fixed points of complete Andreev reflection and complete normal reflection.