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

Research output: Contribution to journal › Article › peer-review

10 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 language	English
Article number	107202
Journal	Physical Review Letters
Volume	123
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevLett.123.107202
State	Published - Sep 6 2019

Bibliographical note

Publisher Copyright:
© 2019 American Physical Society.

Funding

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.

Funders	Funder number
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

Access to Document

10.1103/PhysRevLett.123.107202

Cite this

@article{1a4c0e6c44f3472ba4767b460d56371a,

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

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 Ne{\'e}l and Haldane nematic phase, which we find to be of first order.",

author = "Nisheeta Desai and Kaul, \{Ribhu K.\}",

note = "Publisher Copyright: {\textcopyright} 2019 American Physical Society.",

year = "2019",

month = sep,

day = "6",

doi = "10.1103/PhysRevLett.123.107202",

language = "English",

volume = "123",

number = "10",

}

TY - JOUR

T1 - Spin-S designer hamiltonians and the square lattice S=1 Haldane nematic

AU - Desai, Nisheeta

AU - Kaul, Ribhu K.

PY - 2019/9/6

Y1 - 2019/9/6

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/85072653485

UR - https://www.scopus.com/pages/publications/85072653485#tab=citedBy

U2 - 10.1103/PhysRevLett.123.107202

DO - 10.1103/PhysRevLett.123.107202

M3 - Article

C2 - 31573309

AN - SCOPUS:85072653485

SN - 0031-9007

VL - 123

JO - Physical Review Letters

JF - Physical Review Letters

IS - 10

M1 - 107202

ER -

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

Abstract

Bibliographical note

Funding

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this