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Ferromagnetism, antiferromagnetism, and the curious nematic phase of S=1 quantum spin systems

Daniel Ueltschi*

  • Department of Mathematics, University of Warwick, Coventry CV4 7AL, United Kingdom

  • *daniel@ueltschi.org
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Phys. Rev. E 91, 042132 – Published 23 April, 2015

DOI: https://doi.org/10.1103/PhysRevE.91.042132

Abstract

We investigate the phase diagram of S=1 quantum spin systems with SU(2)-invariant interactions, at low temperatures and in three spatial dimensions. Symmetry breaking and the nature of extremal states can be studied using random loop representations. The latter confirm the occurrence of ferro- and antiferromagnetic transitions and the breaking of SU(3) invariance. And they reveal the peculiar nature of the nematic extremal states which minimize ∑x(Sxi)2.

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Phys. Rev. E 91, 042132– Published 23 April, 2015
  • Received 10 June 2014
  • Revised 11 January 2015

©2015 American Physical Society

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