Ground state properties of a fully frustrated quantum spin system

Elliott H. Lieb, Peter Schupp

Research output: Contribution to journalArticle

50 Scopus citations

Abstract

We find that ground states of the quantum Heisenberg antiferromagnet on the geometrically frustrated pyrochlore checkerboard lattice are singlets and can be expressed in terms of positive matrices. The magnetization at zero external field vanishes for each frustrated tetrahedral unit separately, and there is an upper bound of 1/8 in natural units on the susceptibility both for the ground state and at finite temperature. These results are the first exact ones in this field and generalize to some other lattices. The approach is also of interest for other spin systems.

Original languageEnglish (US)
Pages (from-to)5362-5365
Number of pages4
JournalPhysical review letters
Volume83
Issue number25
DOIs
StatePublished - Jan 1 1999

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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