Z2gauge theory for valence bond solids on the kagome lattice

Theory of Néel and valence-bond solid phases on the kagome lattice of Zn paratacamite.

Recently, neutron scattering data on powder samples of Zn paratacamite, ZnxCu4-x(OH)6Cl2, with small Zn concentration has been interpreted as evidence for valence-bond solid and Néel ordering [S.-H. Lee, Nat. Mater. 6, 853 (2007)10.1038/nmat1986]. We study the classical and quantum Heisenberg models on the distorted kagome lattice appropriate for Zn paratacamite at low Zn doping. Our theory nat...

Theory of Néel and Valence - Bond - Solid Phases on the Kagome Lattice of

The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters. Theory of Néel and valence-bond-solid phases on the kagome lattice of Zn-paratacamite. Recently, neutron scattering data on powder samples of Zn-paratacamite, ZnxCu4−x(OH)6Cl2, with small Zn concentration has been interpreted as evidence for valence bond solid and Néel or...

Theory of Valence-bond Lattice on Spin Lattices*

Quantum spin-lattice systems in low dimensions exhibit a variety of interesting zero-temperature phases, some of which show non-classical (i.e., non-magnetic) long-range orders, such as dimer or trimer valence-bond order. These symmetry-breaking systems with localized valence bonds are referred to as valence-bond lattices (VBL) in this article. A review of our systematic microscopic formalism b...

Theory of Néel and Valence - Bond - Solid Phases on the Kagome

Resonating valence bond liquid physics on the triangular lattice

We give an account of the short-range RVB liquid phase on the triangular lattice, starting from an elementary introduction to quantum dimer models including details of the overlap expansion used to generate them. The fate of the topological degeneracy of the state under duality is discussed, as well as recent developments including its possible relevance for quantum computing. §1. Short-range R...