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arXiv · 1612.06899

Resonating Valence Bond States with Trimer Motifs

Hyunyong Lee·Yun-tak Oh·Jung Hoon Han·Hosho Katsura
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Abstract

The trimer resonating valence bond (tRVB) state consisting of an equal-weight superposition of trimer coverings on a square lattice is proposed. A model Hamiltonian of the Rokhsar-Kivelson type for which the tRVB becomes the exact ground state is written. The state is shown to have $9^g$ topological degeneracy on genus g surface and support $Z_3$ vortex excitations. Correlation functions show exponential behavior with a very short correlation length consistent with the gapped spectrum. The classical problem of the degeneracy of trimer configurations is investigated by the transfer matrix method.

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Hyunyong Lee, Yun-tak Oh, Jung Hoon Han, Hosho Katsura. 2016-12-20. Resonating Valence Bond States with Trimer Motifs. https://doi.org/10.1103/physrevb.95.060413

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