Ground states of low-dimensional quantum antiferromagnets

Rajiv R.P. Singh, Martin P. Gelfand, David A. Huse

Research output: Contribution to journalArticlepeer-review

134 Scopus citations


We have developed a general scheme for carrying out systematic perturbation expansions for groundstate properties of quantum lattice models. As an application, we study the onset of spontaneous Néel order in S=12 Heisenberg antiferromagnets by expanding around dimerized Hamiltonians. In one dimension (1D) we recover accurately the known exact results. On the square lattice we find novel critical points separating Néel ordered and disordered phases; the estimated critical exponents are consistent with those of the 3D classical Heisenberg model.

Original languageEnglish (US)
Pages (from-to)2484-2487
Number of pages4
JournalPhysical review letters
Issue number21
StatePublished - 1988
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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