Singlets and reflection symmetric spin systems

Elliott H. Lieb; Peter Schupp

doi:10.1016/S0378-4371(99)00521-X

Singlets and reflection symmetric spin systems

Elliott H. Lieb, Peter Schupp

Mathematics

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

9 Scopus citations

Abstract

We rigorously establish some exact properties of reflection symmetric spin systems with antiferromagnetic crossing bonds: At least one ground state has total spin zero and a positive semidefinite coefficient matrix. The crossing bonds obey an ice rule. This augments some previous results which were limited to bipartite spin systems and is of particular interest for frustrated spin systems.

Original language	English (US)
Pages (from-to)	378-385
Number of pages	8
Journal	Physica A: Statistical Mechanics and its Applications
Volume	279
Issue number	1
DOIs	https://doi.org/10.1016/S0378-4371(99)00521-X
State	Published - May 1 2000

All Science Journal Classification (ASJC) codes

Statistics and Probability
Condensed Matter Physics

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10.1016/S0378-4371(99)00521-X

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title = "Singlets and reflection symmetric spin systems",

abstract = "We rigorously establish some exact properties of reflection symmetric spin systems with antiferromagnetic crossing bonds: At least one ground state has total spin zero and a positive semidefinite coefficient matrix. The crossing bonds obey an ice rule. This augments some previous results which were limited to bipartite spin systems and is of particular interest for frustrated spin systems.",

author = "Lieb, {Elliott H.} and Peter Schupp",

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Y1 - 2000/5/1

N2 - We rigorously establish some exact properties of reflection symmetric spin systems with antiferromagnetic crossing bonds: At least one ground state has total spin zero and a positive semidefinite coefficient matrix. The crossing bonds obey an ice rule. This augments some previous results which were limited to bipartite spin systems and is of particular interest for frustrated spin systems.

AB - We rigorously establish some exact properties of reflection symmetric spin systems with antiferromagnetic crossing bonds: At least one ground state has total spin zero and a positive semidefinite coefficient matrix. The crossing bonds obey an ice rule. This augments some previous results which were limited to bipartite spin systems and is of particular interest for frustrated spin systems.

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U2 - 10.1016/S0378-4371(99)00521-X

DO - 10.1016/S0378-4371(99)00521-X

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AN - SCOPUS:0033745878

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1

ER -

Singlets and reflection symmetric spin systems

Abstract

All Science Journal Classification (ASJC) codes

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