Spin-S designer hamiltonians and the square lattice S=1 Haldane nematic

Nisheeta Desai, Ribhu K. Kaul

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We introduce a strategy to write down lattice models of spin rotational symmetric Hamiltonians with arbitrary spin S that are Marshall positive and can be simulated efficiently using world-line Monte Carlo methods. As an application of our approach we consider a square lattice S=1 model for which we design a (3×3)-spin plaquette interaction. By numerical simulations we establish that our model realizes a novel "Haldane nematic" phase that breaks lattice rotational symmetry by the spontaneous formation of Haldane chains, while preserving spin rotations, time reversal, and lattice translations. By supplementing our model with a two-spin Heisenberg interaction, we present a study of the transition between Neél and Haldane nematic phase, which we find to be of first order.

Original languageEnglish (US)
Article number107202
JournalPhysical review letters
Volume123
Issue number10
DOIs
StatePublished - Sep 6 2019

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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