Zeng, Chen, Farnell, Damian J. J. ![]() |
Abstract
We illustrate how the systematic inclusion of multi-spin correlations of the quantum spin–lattice systems can be efficiently implemented within the framework 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 Néel-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.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Dentistry |
Subjects: | Q Science > QC Physics |
Uncontrolled Keywords: | Coupled-cluster method; quantum magnets; strongly correlated spin lattices; high-order LSUBm approximations; generalized Néel 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. |
Publisher: | Springer |
ISSN: | 0022-4715 |
Last Modified: | 04 Jan 2024 08:41 |
URI: | https://orca.cardiff.ac.uk/id/eprint/64298 |
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