Exact solution of long-range interacting spin chains with boundaries

D. Bernard; V. Pasquier; D. Serban

doi:10.1209/0295-5075/30/5/009

Exact solution of long-range interacting spin chains with boundaries

D. Bernard, V. Pasquier, D. Serban

Institut Pierre Simon Laplace, CNRS and CEA

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

Abstract

We consider integrable models of the Haldane-Shastry type with open boundary conditions. We define monodromy matrices, obeying the reflection equation, which generate the symmetries of these models. Using a map to the Calogero-Sutherland Hamiltonian of BC type, we derive the spectrum and the highest weight eigenstates.

Original language	English
Pages (from-to)	301-306
Number of pages	6
Journal	EPL
Volume	30
Issue number	5
DOIs	https://doi.org/10.1209/0295-5075/30/5/009
Publication status	Published - 10 May 1995
Externally published	Yes

Access to Document

10.1209/0295-5075/30/5/009

Cite this

@article{3f43b6c85d18439681811a105126a402,

title = "Exact solution of long-range interacting spin chains with boundaries",

abstract = "We consider integrable models of the Haldane-Shastry type with open boundary conditions. We define monodromy matrices, obeying the reflection equation, which generate the symmetries of these models. Using a map to the Calogero-Sutherland Hamiltonian of BC type, we derive the spectrum and the highest weight eigenstates.",

author = "D. Bernard and V. Pasquier and D. Serban",

year = "1995",

month = may,

day = "10",

doi = "10.1209/0295-5075/30/5/009",

language = "English",

volume = "30",

pages = "301--306",

journal = "EPL",

issn = "0295-5075",

number = "5",

}

TY - JOUR

T1 - Exact solution of long-range interacting spin chains with boundaries

AU - Bernard, D.

AU - Pasquier, V.

AU - Serban, D.

PY - 1995/5/10

Y1 - 1995/5/10

N2 - We consider integrable models of the Haldane-Shastry type with open boundary conditions. We define monodromy matrices, obeying the reflection equation, which generate the symmetries of these models. Using a map to the Calogero-Sutherland Hamiltonian of BC type, we derive the spectrum and the highest weight eigenstates.

AB - We consider integrable models of the Haldane-Shastry type with open boundary conditions. We define monodromy matrices, obeying the reflection equation, which generate the symmetries of these models. Using a map to the Calogero-Sutherland Hamiltonian of BC type, we derive the spectrum and the highest weight eigenstates.

U2 - 10.1209/0295-5075/30/5/009

DO - 10.1209/0295-5075/30/5/009

M3 - Letter

AN - SCOPUS:84956206111

SN - 0295-5075

VL - 30

SP - 301

EP - 306

JO - EPL

JF - EPL

IS - 5

ER -

Exact solution of long-range interacting spin chains with boundaries

Abstract

Access to Document

Fingerprint

Cite this