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

Zeng, Chen, Farnell, Damian J. J. ORCID: https://orcid.org/0000-0003-0662-1927 and Bishop, R. F. 1998. An efficient implementation of high-order coupled-cluster techniques applied to quantum magnets. Journal of Statistical Physics 90 (1-2) , pp. 327-361. 10.1023/A:1023220222019

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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
Date Type:	Publication
Status:	Published
Schools:	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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