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Some remarks on the Lieb-Schultz-Mattis theorem and its extension to higher dimensions

Gregoire Misguich·Claire Lhuillier
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Abstract

The extension of the Lieb-Schultz-Mattis theorem to dimensions larger than one is discussed. It is explained why the variational wave-function built by the previous authors is of no help to prove the theorem in dimension larger than one. The short range R.V.B. picture of Sutherland, Rokhsar and Kivelson, Read and Chakraborty gives a strong support to the assertion that the theorem is indeed valid in any dimension. Some illustrations of the general ideas are displayed on exact spectra.

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Gregoire Misguich, Claire Lhuillier. 2000-02-11. Some remarks on the Lieb-Schultz-Mattis theorem and its extension to higher dimensions. https://doi.org/10.1140/epjb%2Fe20020078

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