Frustrated Quantum Antiferromagnets: Application of High-Order Coupled Cluster Method

Details Frustrated Quantum Antiferromagnets: Application of High-Order Coupled Cluster Method Frustrated Quantum Antiferromagnets: Application of High-Order Coupled Cluster Method

2006-12-06

arxiv.org/abs/cond-mat/0612146v1

Int. J. Modern Phys. B {\bf 21}, 2273 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

16 pages, 7 figures, to appear in Proc. of "The 30th International Workshop on Condensed Matter theories" June 2006

Scientific paper

10.1142/S0217979207043658

We report on recent results for strongly frustrated quantum $J_1$-$J_2$ antiferromagnets in dimensionality d=1,2,3 obtained by the coupled cluster method (CCM). We demonstrate that the CCM in high orders of approximation allows us to investigate quantum phase transitions driven by frustration and to discuss novel quantum ground states. In detail we consider the ground-state properties of (i) the Heisenberg spin-1/2 antiferromagnet on the cubic lattice in d=1,2,3, and use the results for the energy, the sublattice magnetization and the spin stiffness as a benchmark test for the precision of the method; (ii) coupled frustrated spin chains (the quasi-one-dimensional $J_1$--$J_2$ model) and discuss the influence of the quantum fluctuations and the interchain coupling on the incommensurate spiral state present in the classical model; (iii) the Shastry-Sutherland antiferromagnet on the square lattice; and (iv) a stacked frustrated square-lattice Heisenberg antiferromagnet (the quasi-two-dimensional $J_1$--$J_2$ model), and discuss the influence of the interlayer coupling on the quantum paramagnetic ground-state phase that is present for the strictly two-dimensional model.

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