Table 2. Either the absence (X) or the presence (checkmark symbol) of a phase-transition towards conventional long-range order at finite temperatures in model Hamiltoniansa.
The simultaneous presence of both symbols in the 2d-XY model indicates the presence of quasi-long-range order characterized by a correlation function that falls off as power law below T = TKT. Adapted with permission from ref (42). Copyright 1990 Springer.