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

Nisheeta Desai; Ribhu K. Kaul

doi:10.1103/PhysRevLett.123.107202

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

Nisheeta Desai
, Ribhu K. Kaul

Physics And Astronomy

Producción científica: Article › revisión exhaustiva

10 Citas (Scopus)

Resumen

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.

Idioma original	English
Número de artículo	107202
Publicación	Physical Review Letters
Volumen	123
N.º	10
DOI	https://doi.org/10.1103/PhysRevLett.123.107202
Estado	Published - sept 6 2019

Nota bibliográfica

Publisher Copyright:
© 2019 American Physical Society.

Financiación

We gratefully acknowledge useful discussion with S. Pujari and partial support from NSF DMR-1611161 and Keith B. MacAdam Graduate Excellence Fellowship. The numerical results were produced on SDSC comet cluster through the NSF supported XSEDE Award No. TG-DMR140061 as well as the DLX cluster at U.K. We gratefully acknowledge useful discussion with S. Pujari and partial support from NSF DMR-1611161 and Keith B. MacAdam Graduate Excellence Fellowship. The numerical results were produced on SDSC comet cluster through the NSF supported XSEDE Award No. TG-DMR140061 as well as the DLX cluster at U.K.

Financiadores	Número del financiador
NSF DMR-1611161	TG-DMR140061
U.K. Financial Conduct Authority
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China	DMR-1611161

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.123.107202

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AB - 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.

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

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Financiación

ASJC Scopus subject areas

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