Quantum Phase Transitions and Conserved Charges

Details Quantum Phase Transitions and Conserved Charges Quantum Phase Transitions and Conserved Charges

1993-12-04

arxiv.org/abs/cond-mat/9312018v1

Z. Phys. B 94, 469 (1994)

Physics

Condensed Matter

19 pages, REVTEX 3.0, 8 uuencoded Postscript figues appended, YCTP-xxxx

Scientific paper

10.1007/BF01317409

The constraints on the scaling properties of conserved charge densities in the vicinity of a zero temperature ($T$), second-order quantum phase transition are studied. We introduce a generalized Wilson ratio, characterizing the non-linear response to an external field, $H$, coupling to any conserved charge, and argue that it is a completely universal function of $H/T$: this is illustrated by computations on model systems. We also note implications for transitions where the order parameter is a conserved charge (as in a $T=0$ ferromagnet-paramagnet transition).

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