Spin correlation function of the<i>S=1</i>antiferromagnetic Heisenberg chain by the large-cluster-decomposition Monte Carlo method

K. Nomura K. Nomura
1989 Physical review. B, Condensed matter 94 citations

Abstract

We calculate correlation functions of a one-dimensional spin S=1 antiferromagnetic Heisenberg model by the large-cluster-decomposition Monte Carlo method. We find that the correlation functions are well approximated by modified Bessel functions. This result supports Haldane's conjecture, and the correlation length agrees with that obtained from spin-wave theory using elementary excitation data.

Keywords

PhysicsMonte Carlo methodAntiferromagnetismHeisenberg modelCorrelation function (quantum field theory)Quantum Monte CarloSpin (aerodynamics)Bessel functionWave functionCluster (spacecraft)Statistical physicsQuantum mechanicsMathematicsStatistics

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Year
1989
Type
article
Volume
40
Issue
4
Pages
2421-2425
Citations
94
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K. Nomura (1989). Spin correlation function of the<i>S=1</i>antiferromagnetic Heisenberg chain by the large-cluster-decomposition Monte Carlo method. Physical review. B, Condensed matter , 40 (4) , 2421-2425. https://doi.org/10.1103/physrevb.40.2421

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DOI
10.1103/physrevb.40.2421