HYPERUNIVERSALITY IN QUANTUM CRITICAL PHENOMENA

We apply generalizations of two-scale-factor universality, or hyperuniversality, to quantum phase transitions at zero temperature. We find new universal amplitude combinations involving the superfluid density in two- and three-dimensional Bose systems, as well as confirm and extend previous proposals for universal transport coefficients in two-dimensional superconducting films and magnetic-field-induced metal-insulator transitions. We also give a general proof for the existence of universal jumps in two-dimensional superfluids at finite temperature using finite-size hyperuniversality.