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

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

2003-06-30

arxiv.org/abs/cond-mat/0306732v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 pictures

Scientific paper

10.1103/PhysRevLett.91.257005

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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