A Proof of the Completeness of the Non Crossed Diagrams in Spin 1/2 Heisenberg Model

Riichiro Saito

doi:10.1143/JPSJ.59.482

A Proof of the Completeness of the Non Crossed Diagrams in Spin 1/2 Heisenberg Model

Riichiro Saito

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

19 Citations (Scopus)

Abstract

We present a new proof in terms of symmetric group that non crossed diagrams form a complete set of S_tot=0 in spin 1/2 Heisenberg model. The other possible complete sets of S_tot=0 and a complete set of S_z=0 which is classified by the total spin are also proposed.

Original language	English
Pages (from-to)	482-491
Number of pages	10
Journal	journal of the physical society of japan
Volume	59
Issue number	2
DOIs	https://doi.org/10.1143/JPSJ.59.482
Publication status	Published - 1990
Externally published	Yes

Keywords

Heisenberg model
antiferromagnetism
completeness
non crossed diagram

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.59.482

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title = "A Proof of the Completeness of the Non Crossed Diagrams in Spin 1/2 Heisenberg Model",

abstract = "We present a new proof in terms of symmetric group that non crossed diagrams form a complete set of Stot=0 in spin 1/2 Heisenberg model. The other possible complete sets of Stot=0 and a complete set of Sz=0 which is classified by the total spin are also proposed.",

keywords = "Heisenberg model, antiferromagnetism, completeness, non crossed diagram",

author = "Riichiro Saito",

year = "1990",

doi = "10.1143/JPSJ.59.482",

language = "English",

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pages = "482--491",

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AU - Saito, Riichiro

PY - 1990

Y1 - 1990

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AB - We present a new proof in terms of symmetric group that non crossed diagrams form a complete set of Stot=0 in spin 1/2 Heisenberg model. The other possible complete sets of Stot=0 and a complete set of Sz=0 which is classified by the total spin are also proposed.

KW - Heisenberg model

KW - antiferromagnetism

KW - completeness

KW - non crossed diagram

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JO - Journal of the Physical Society of Japan

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A Proof of the Completeness of the Non Crossed Diagrams in Spin 1/2 Heisenberg Model

Abstract

Keywords

ASJC Scopus subject areas

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