Physics – Condensed Matter
Scientific paper
1994-07-29
Physics
Condensed Matter
Plain TeX, 22 pages (six figures available upon request). UMIST Preprint 00000
Scientific paper
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 based on a proper set of composite operators for the ground and excited states of the VBL systems is given. The one-dimensional (1D) spin-$1\over2$ frustrated model is investigated in detail. Several possible VBL systems on the 1D spin-1 chains, the 2D square and {\it kagom\'e} lattices are also discussed. That our microscopic theory guarantees the rotational symmetry of the VBL systems is emphasized.
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