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Stability and absence of a tower of states in ferrimagnets

Published inPhysical review research, vol. 2, no. 1, 013304
Publication date2020-03-12
First online date2020-03-12
Abstract

Antiferromagnets and ferromagnets are archetypes of the two distinct (type-A and type-B) ways of spontaneously breaking a continuous symmetry. Although type-B Nambu-Goldstone modes arise in various systems, the ferromagnet was considered pathological due to the stability and symmetry-breaking nature of its exact ground state. However, here we show that symmetry breaking in ferrimagnets closely resembles the ferromagnet. In particular, there is an extensive ground-state degeneracy, there is no Anderson tower of states, and the maximally polarized ground state is thermodynamically stable. Our results are derived analytically for the Lieb-Mattis ferrimagnet and numerically for the Heisenberg ferrimagnet. We argue that these properties are generic for type-B symmetry-broken systems, where the order parameter operator is a symmetry generator.

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Citation (ISO format)
RADEMAKER, Louk, BEEKMAN, Aron, VAN WEZEL, Jasper. Stability and absence of a tower of states in ferrimagnets. In: Physical review research, 2020, vol. 2, n° 1, p. 013304. doi: 10.1103/PhysRevResearch.2.013304
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Journal ISSN2643-1564
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