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Cited by 493

The DOI matches its Crossref record; 52 of the 52 references it cites were found in a registry or an index.

Spin-Peierls, valence-bond solid, and Néel ground states of low-dimensional quantum antiferromagnets

Read, N., Sachdev, Subir·1990·Physical Review B
DOI 10.1103/physrevb.42.4568
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Abstract

We examine large-N limits of the nearest-neighbor SU(N) quantum antiferromagnets on bipartite lattices in d=1,2. In d=2 the model displays a transition from a N\'eel to a disordered phase. The properties of the disordered phase close to the phase boundary are crucially dependent upon the nature of ``hedgehog''-like instanton tunneling events. We calculate the Berry phases of the instantons and show that, at scales larger than the spin-correlation length, the system can be described by a Coulomb plasma of instantons with complex fugacities. The properties of the Coulomb plasma vary periodically with the ``spin'' ${\mathit{n}}_{\mathit{c}}$ of the states at each site, with periodicity given by the coordination number Z of the lattice [${\mathit{n}}_{\mathit{c}}$=2S for SU(2)]. For ${\mathit{n}}_{\mathit{c}}$\ensuremath{\ne}0 (mod Z) the disordered phase has a broken lattice symmetry with spin-Peierls order, while for ${\mathit{n}}_{\mathit{c}}$=0 (mod Z), the ground state is a valence-bond solid state with no broken symmetry. Related topological effects for the d=1 chain lead to spin-Peierls order for odd ${\mathit{n}}_{\mathit{c}}$. These results are for a class of models which have, at sites of the A sublattice, representations of SU(N) described by a Young tableau with a single row, and the conjugate on the B sublattice. Similar results are also obtained for representations with m rows, using U(m) gauge theory.

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Metadata

Authors
Read, N., & Sachdev, S.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1990-09-01
Volume
42
Issue
7
Pages
4568-4589
ISSN
  • 0163-1829 (ISSN-L)
  • 1095-3795
DOI
10.1103/physrevb.42.4568
OpenAlex
W1513905921
Cited by
493
References
52
FWCI
3.99
Type
journal article
Language
en
Open access
closed

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