Abstract
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-12 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.
| Original language | English |
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| Pages | 541-561 |
| Number of pages | 21 |
| Publication status | Published - 1995 |
| Event | The 18th International Workshop on Condensed Matter Theories - Valencia, Spain Duration: 6 Jun 1994 → 10 Jun 1994 |
Conference
| Conference | The 18th International Workshop on Condensed Matter Theories |
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| Country/Territory | Spain |
| City | Valencia |
| Period | 6/06/94 → 10/06/94 |