2003/06/30 by Sandro Sorella, S. Sorella, L. Capriotti +5 · 18 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Chiral symmetry #Condensed matter physics #Dimer #Function (biology) #Ground state #Limit (mathematics) #Mathematics #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quantum spin liquid #Spin (aerodynamics) #Superconductivity #Symmetry (geometry) #Theoretical and Computational Physics #Thermodynamic limit #Thermodynamics #Translational symmetry #Wave function #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.91.257005
published in Physical Review Letters 91(25), 257005 (American Physical Society) · 4 pages, 4 pictures
arxiv created 2003/06/30 · openalex publication_date 2003/12/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study a chiral spin liquid wave function defined as a Gutzwiller 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 an even number of chains there is no dimerization. The two-dimensional thermodynamic limit is consistently reached for a 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 physical excitations and with no broken translation symmetry.