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

Nisheeta Desai, Ribhu K. Kaul

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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
Article number107202
JournalPhysical Review Letters
Issue number10
StatePublished - Sep 6 2019

Bibliographical note

Publisher Copyright:
© 2019 American Physical Society.

ASJC Scopus subject areas

  • General Physics and Astronomy


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