An efficient implementation of high-order coupled-cluster techniques applied to quantum magnets

作者：Zeng C^*; Farnell DJJ; Bishop RF

来源：Journal of Statistical Physics, 1998, 90(1-2): 327-361.

DOI：10.1023/A:1023220222019

• coupled-cluster method
• quantum magnets
• strongly correlated spin lattices
• high-order LSUBm approximations
• generalized Neel model state
• square-lattice XXZ model
• triangular-lattice Heisenberg antiferromagnet
• ket-state parametrization
• bra-state parametrization
• lattice animals and fundamental configurations
• ground-state energy
• sublattice magnetization
• critical points
• quantum order
• quantum phase transitions

We illustrate how the systematic inclusion of multi-spin correlations of the quantum spin-lattice systems can be efficiently implemented within the frame-work of the coupled-cluster method by examining the ground-state properties of both the square-lattice and the frustrated triangular-lattice quantum antiferromagnets. The ground-state energy and the sublattice magnetization are calculated for the square-lattice and triangular-lattice Heisenberg antiferromagnets, and our best estimates give values for the sublattice magnetization which are 62% and 51% of the classical results for the square and triangular lattices, respectively. We furthermore make a conjecture as to why previous series expansion calculations have not indicated Neel-like long-range order for the triangular-lattice Heisenberg antiferromagnet. We investigate the critical behavior of the anisotropic systems by obtaining approximate values for the positions of phase transition points.

• 出版日期1998-1