03-447 Marek Biskup, Lincoln Chayes and Steven A. Kivelson
Order by disorder, without order, in a two-dimensional spin system with O(2) symmetry (178K, PDF) Sep 30, 03
Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. We present a rigorous proof of an ordering transition for a two-component two-dimensional antiferromagnet with nearest and next-nearest neighbor interactions. The low-temperature phase contains two states distinguish by local order among columns or, respectively, rows. Overall, there is no magnetic order in accord with the classic Mermin-Wagner theorem. The method of proof employs a rigorous version of "order by disorder," whereby a high degeneracy among the ground states is lifted according to the differences in their associated spin-wave spectra.

Files: 03-447.src( 03-447.keywords , 02model-submit.pdf.mm )