Coupled-cluster calculations for the ground and excited states of the spin-halfXXZmodel

Merdan, M; Xian, Yang

doi:10.1088/0953-8984/23/40/406001

Cited by 1 publication

(2 citation statements)

References 27 publications

(77 reference statements)

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“…We remark that the results presented in this article are carried out to much higher levels of LSUBm approximation than those presented in previous CCM investigations of the XXZ model [28][29][30]45], where the highest order of approximation was the LSUB8 approximation. The consequent accuracy of our results is thus significantly higher than those presented in Refs.…”

Section: The Ccm Applied To the Xxz Modelmentioning

confidence: 82%

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The spin-half XXZ antiferromagnet on the square lattice revisited: A high-order coupled cluster treatment

Bishop

Zinke

et al. 2017

Journal of Magnetism and Magnetic Materials

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We use the coupled cluster method (CCM) to study the ground-state properties and lowest-lying triplet excited state of the spin-half XXZ antiferromagnet on the square lattice. The CCM is applied to it to high orders of approximation by using an efficient computer code that has been written by us and which has been implemented to run on massively parallelized computer platforms. We are able therefore to present precise data for the basic quantities of this model over a wide range of values for the anisotropy parameter ∆ in the range −1 ≤ ∆ < ∞ of interest, including both the easy-plane (−1 < ∆ < 1) and easy-axis (∆ > 1) regimes, where ∆ → ∞ represents the Ising limit. We present results for the ground-state energy, the sublattice magnetization, the zero-field transverse magnetic susceptibility, the spin stiffness, and the triplet spin gap. Our results provide a useful yardstick against which other approximate methods and/or experimental studies of relevant antiferromagnetic square-lattice compounds may now compare their own results. We also focus particular attention on the behaviour of these parameters for the easy-axis system in the vicinity of the isotropic Heisenberg point (∆ = 1), where the model undergoes a phase transition from a gapped state (for ∆ > 1) to a gapless state (for ∆ ≤ 1), and compare our results there with those from spin-wave theory (SWT). Interestingly, the nature of the criticality at ∆ = 1 for the present model with spins of spin quantum number s = 1 2 that is revealed by our CCM results seems to differ qualitatively from that predicted by SWT, which becomes exact only for its near-classical large-s counterpart.

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Section: The Ccm Applied To the Xxz Modelmentioning

confidence: 82%

“…The consequent accuracy of our results is thus significantly higher than those presented in Refs. [28][29][30]45]. Moreover, a systematic study of the magnetic susceptibility and the spin stiffness of the XXZ model was not presented in these earlier studies.…”

Section: The Ccm Applied To the Xxz Modelmentioning

confidence: 98%

The spin-half XXZ antiferromagnet on the square lattice revisited: A high-order coupled cluster treatment

Bishop

Zinke

et al. 2017

Journal of Magnetism and Magnetic Materials

View full text Add to dashboard Cite

show abstract

Coupled-cluster calculations for the ground and excited states of the spin-halfXXZmodel

Cited by 1 publication

References 27 publications

The spin-half XXZ antiferromagnet on the square lattice revisited: A high-order coupled cluster treatment

The spin-half XXZ antiferromagnet on the square lattice revisited: A high-order coupled cluster treatment

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