Multicritical crossovers near the dilute bose gas quantum critical point

Abstract

Many zero temperature transitions, involving the deviation in the value of a U(1) conserved charge from a quantized value, are described by the dilute Bose gas quantum critical point. On such transitions, we study the consequences of perturbations which break the symmetry down to Z_N in d spatial dimensions. For the case d=1, N=2, we obtain exact, finite temperature, multicritical crossover functions by a mapping to an integrable lattice model.