Frustrated spin-1/2 model in two dimensions with a known ground state

Bose, I. I., Mitra, P. (July 1991) Frustrated spin-1/2 model in two dimensions with a known ground state. Physical Review. B, Condensed Matter, 44 (1). pp. 443-445. ISSN 0163-1829 (Print)0163-1829

URL: http://www.ncbi.nlm.nih.gov/pubmed/9998274
DOI: 10.1103/PhysRevB.44.443

Abstract

A frustrated spin-1/2 model is constructed on the square lattice, the Hamiltonian of which contains five types of interactions: nearest-neighbor (NN), diagonal (D), next-nearest-neighbor (NNN), knight’s-move-distance away (KM), and further-neighbor diagonal (FND). The NN bonds in a particular direction, horizontal or vertical, are of alternating coupling strengths 7J and J. The other interaction strengths are: J (for NN and D), (J), J/2 (for NNN and KM), and J/4 (for FND). We prove that the exact ground state of the Hamiltonian is the columnar-dimer state.

Item Type: Paper
Subjects: physics
CSHL Authors:
Communities: CSHL labs > Mitra lab
Depositing User: Matt Covey
Date: 1 July 1991
Date Deposited: 21 Apr 2014 18:40
Last Modified: 10 Feb 2017 20:52
Related URLs:
URI: http://repository.cshl.edu/id/eprint/29776

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