A review is given of our recent application of a systematic microscopic formulation of quantum many-body theory, namely the coupled-cluster method (CCM), to Hamiltonian $U(1)$ lattice gauge models in the pure gauge sector. It is emphasized that our CCM results represent a natural extension or resummation of the results from the strong-coupling perturbation theory.A review is given of our recent application of a systematic microscopic formulation of quantum many-body theory, namely the coupled-cluster method (CCM), to Hamiltonian $U(1)$ lattice gauge models in the pure gauge sector. It is emphasized that our CCM results represent a natural extension or resummation of the results from the strong-coupling perturbation theory.

arXiv:cond-mat/9411012Nov 2, 19940 citations

Quantum Lattice Models for Low-Dimensional Systems

Marco Vekić

Jan 1, 19940 citations

Construction of the dynamics of quantum lattice systems

Yu. G. Kondrat’ev

Soviet physics. DokladyJul 1, 19850 citations

Theory of Valence-Bond Lattice on Spin Lattice

Yang Xian

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 kagomé} lattices are also discussed. That our microscopic theory guarantees the rotational symmetry of the VBL systems is emphasized.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 kagomé} lattices are also discussed. That our microscopic theory guarantees the rotational symmetry of the VBL systems is emphasized.

arXiv:cond-mat/9407117Jul 29, 19940 citations

Lattice Dynamics of Quantum Crystals

T.R. KOEHLER

Methods in computational physicsJan 1, 19766 citations

Theory of valence-bond lattice on spin-lattices

Yang Xian

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 onedimensional (1D) spin-1 2 frustrated model is investigated in detail. Several possible VBL systems on the 1D spin-1 chains, the 2D square and kagomé lattices are also discussed. That our microscopic theory guarantees the rotational symmetry of the VBL systems is emphasized. 1.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 onedimensional (1D) spin-1 2 frustrated model is investigated in detail. Several possible VBL systems on the 1D spin-1 chains, the 2D square and kagomé lattices are also discussed. That our microscopic theory guarantees the rotational symmetry of the VBL systems is emphasized. 1.

Jan 1, 19951 citation

A review is given of our recent application of a systematic microscopic formulation of quantum many-body theory, namely the coupled-cluster method (CCM), to Hamiltonian

U(1)

lattice gauge models in the pure gauge sector. It is emphasized that our CCM results represent a natural extension or resummation of the results from the strong-coupling perturbation theory.

1\over2

frustrated model is investigated in detail. Several possible VBL systems on the 1D spin-1 chains, the 2D square and {\it kagomé} lattices are also discussed. That our microscopic theory guarantees the rotational symmetry of the VBL systems is emphasized.