Abstract
We study magnetic field induced quantum phase transitions in insulating systems. We use a generalized scaling theory to obtain the temperature dependence of several physical quantities along the quantum critical trajectory ( H = H C , T → 0 ) where H C is the critical magnetic field. We consider transitions from a spin liquid into an antiferromagnetic phase at a critical field H C 1 and from a fully polarized paramagnet into a phase with transverse components of magnetization at H C 2 . The transitions at H C 1 and H C 2 can be viewed as Bose–Einstein condensations of magnons, however, they belong to different universality classes since they are associated with different values of the dynamic critical exponent z.
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