Consider a d-dimensional antiferromagnet with a quantum disordered ground state and a gap to bosonic excitations with nonzero spin. In a finite external magnetic field, this antiferromagnet will undergo a phase transition to a ground state with nonzero magnetization, describable as the condensation of a dilute gas of bosons. The finite-temperature properties of the Bose gas in the vicinity of this transition are argued to obey a hypothesis of zero scale-factor universality for d2, with logarithmic violations in d=2. Scaling properties of various experimental observables are computed in an expansion in {ε}=2-d, and exactly in d=1.
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Sachdev et al. (1994) studied this question.
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