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Chiral Spin Liquid Wave Function and the Lieb-Schultz-Mattis Theorem

2003; American Physical Society; Volume: 91; Issue: 25 Linguagem: Inglês

10.1103/physrevlett.91.257005

1092-0145

Sandro Sorella, Luca Capriotti, Federico Becca, Alberto Parola,

Theoretical and Computational Physics

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.