Integrable spin systems with long-range interactions

Kazuhiro Hikami; P. P. Kulish; Miki Wadati

doi:10.1016/0960-0779(92)90029-M

Integrable spin systems with long-range interactions

Kazuhiro Hikami, P. P. Kulish, Miki Wadati

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

8 Citations (Scopus)

Abstract

Presented is a method to construct spin Hamiltonians from the R-matrix. Those Hamiltonians describe quantum spin chains where all spins interact through long-range pairwise interactions. Applications to spin-1/2 chain, higher spin chains and Z_n models are given. Based on the method, the integrability of the Haldane-Shastry model and its extension is discussed.

Original language	English
Pages (from-to)	543-550
Number of pages	8
Journal	Chaos, solitons and fractals
Volume	2
Issue number	5
DOIs	https://doi.org/10.1016/0960-0779(92)90029-M
Publication status	Published - 1992
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematics(all)
Physics and Astronomy(all)
Applied Mathematics

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10.1016/0960-0779(92)90029-M

Cite this

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title = "Integrable spin systems with long-range interactions",

abstract = "Presented is a method to construct spin Hamiltonians from the R-matrix. Those Hamiltonians describe quantum spin chains where all spins interact through long-range pairwise interactions. Applications to spin-1/2 chain, higher spin chains and Zn models are given. Based on the method, the integrability of the Haldane-Shastry model and its extension is discussed.",

author = "Kazuhiro Hikami and Kulish, {P. P.} and Miki Wadati",

year = "1992",

doi = "10.1016/0960-0779(92)90029-M",

language = "English",

volume = "2",

pages = "543--550",

journal = "Chaos, Solitons and Fractals",

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TY - JOUR

T1 - Integrable spin systems with long-range interactions

AU - Hikami, Kazuhiro

AU - Kulish, P. P.

AU - Wadati, Miki

PY - 1992

Y1 - 1992

N2 - Presented is a method to construct spin Hamiltonians from the R-matrix. Those Hamiltonians describe quantum spin chains where all spins interact through long-range pairwise interactions. Applications to spin-1/2 chain, higher spin chains and Zn models are given. Based on the method, the integrability of the Haldane-Shastry model and its extension is discussed.

AB - Presented is a method to construct spin Hamiltonians from the R-matrix. Those Hamiltonians describe quantum spin chains where all spins interact through long-range pairwise interactions. Applications to spin-1/2 chain, higher spin chains and Zn models are given. Based on the method, the integrability of the Haldane-Shastry model and its extension is discussed.

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U2 - 10.1016/0960-0779(92)90029-M

DO - 10.1016/0960-0779(92)90029-M

M3 - Article

AN - SCOPUS:0026914505

SN - 0960-0779

VL - 2

SP - 543

EP - 550

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 5

ER -

Integrable spin systems with long-range interactions

Abstract

All Science Journal Classification (ASJC) codes

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