A chiral spin liquid wave function and the Lieb-Schulz-Mattis theorem
arXiv:cond-mat/0306732 · doi:10.1103/PhysRevLett.91.257005
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.
4 pages, 4 pictures
References in corpus (7)
- Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
- Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
- Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice
- Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems
- Striped phase in a quantum XY-model with ring exchange
- Ground states of quantum antiferromagnets in two dimensions
- Projected wave functions for fractionalized phases of quantum spin systems
Cited by in corpus (14)
- Quantum Spin Liquid States
- Two spin liquid phases in the spatially anisotropic triangular Heisenberg model
- Numerical study of fractionalization in an Easy-axis Kagome antiferromagnet
- Spin-liquid versus dimerized ground states in a frustrated Heisenberg antiferromagnet
- Variational Monte Carlo Method in the Presence of Spin-Orbit Interaction and Its Application to the Kitaev and Kitaev-Heisenberg Model
- Fractionalization in Spin Liquid Mott Insulators: Vison Wavefunctions and Gaps
- Topological Order in Gutzwiller Projected Wave Functions for Quantum Antiferromagnets
- Testing for topological order in variational wavefunctions for Z(2) spin liquids
- Topological Order in Projected Wave Functions and Effective Theories of Quantum Antiferromagnets
- Spontaneous symmetry breaking in correlated wave functions
- Chiral d+is superconducting state in the two dimensional t-t' Hubbard model
- Exotic gapless spectrum induced by frustration in quantum antiferromagnets
- Variational identification of a fractional Chern insulator in an extended Bose-Hubbard model
- Exact quantization of topological order parameter in SU() spin models, -ality transformation and ingappabilities