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Spin-solid phases of spin-1 and spin-3/2 antiferromagnets on a cubic lattice

Gregor, Karol and Motrunich, Olexei I. (2007) Spin-solid phases of spin-1 and spin-3/2 antiferromagnets on a cubic lattice. Physical Review B, 76 (17). Art. No. 174404. ISSN 1098-0121. https://resolver.caltech.edu/CaltechAUTHORS:GREprb07

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Abstract

We study spin S=1 and S=3/2 Heisenberg antiferromagnets on a cubic lattice focusing on spin-solid ground states. Using Schwinger boson formulation for spins, we start in a U(1) spin-liquid phase proximate to Néel phase and explore possible confining paramagnetic phases as we transition away from the spin liquid by the process of monopole condensation. Electromagnetic duality is used to rewrite the theory in terms of monopoles. For spin 1 we find several candidate phases of which the most natural one is a phase with spins organized into parallel Haldane chains. For spin 3/2 we find that the most natural phase has spins organized into parallel ladders. As a by-product, we also write a Landau theory of the ordering in two special classical frustrated XY models on the cubic lattice, one of which is the fully frustrated XY model. In a particular limit our approach maps to a dimer model with 2S dimers coming out of every site, and we find the same spin-solid phases in this regime as well.


Item Type:Article
ORCID:
AuthorORCID
Motrunich, Olexei I.0000-0001-8031-0022
Additional Information:© 2007 The American Physical Society. (Received 21 May 2007; published 2 November 2007)
Subject Keywords:antiferromagnetism; frustration; Neel temperature; paramagnetism; spin systems; X-Y model
Issue or Number:17
Record Number:CaltechAUTHORS:GREprb07
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:GREprb07
Alternative URL:http://dx.doi.org/10.1103/PhysRevB.76.174404
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9147
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:04 Nov 2007
Last Modified:02 Oct 2019 23:57

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