Zero temperature phase transitions in quantum Heisenberg ferromagnets

Details Zero temperature phase transitions in quantum Heisenberg ferromagnets Zero temperature phase transitions in quantum Heisenberg ferromagnets

1996-02-06

arxiv.org/abs/cond-mat/9602028v1

Annals of Physics, 251, 76 (1996).

Physics

Condensed Matter

45 pages, REVTEX 3.0, 5 EPS figures

Scientific paper

10.1006/aphy.1996.0108

The purpose of this work is to understand the zero temperature phases, and the phase transitions, of Heisenberg spin systems which can have an extensive, spontaneous magnetic moment; this entails a study of quantum transitions with an order parameter which is also a non-abelian conserved charge. To this end, we introduce and study a new class of lattice models of quantum rotors. We compute their mean-field phase diagrams, and present continuum, quantum field-theoretic descriptions of their low energy properties in different regimes. We argue that, in spatial dimension $d=1$, the phase transitions in itinerant Fermi systems are in the same universality class as the corresponding transitions in certain rotor models. We discuss implications of our results for itinerant fermions systems in higher $d$, and for other physical systems.

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