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A chiral spin liquid wave function and the Lieb-Schulz-Mattis theorem

S. Sorella·L. Capriotti·F. Becca·A. Parola
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Abstract

We study a chiral spin liquid wave function defined as a Gutwziller projected BCS state with a complex pairing function. After projection, spontaneous dimerization is found for any odd but finite number of chains, thus satisfying the Lieb-Schultz-Mattis theorem, whereas for even number of chains there is no dimerization. The two-dimensional thermodynamic limit is consistently reached for large number of chains since the dimer order parameter vanishes in this limit. This property clearly supports the possibility of a spin liquid ground state in two dimensions with a gap to all {\em physical} excitations and with no broken translation symmetry.

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S. Sorella, L. Capriotti, F. Becca, A. Parola. 2003-06-30. A chiral spin liquid wave function and the Lieb-Schulz-Mattis theorem. https://doi.org/10.1103/physrevlett.91.257005

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