Study of Staggered Magnetization in the Spin- S Square-Lattice Heisenberg Model Using Spiral Boundary Conditions

We propose an efficient numerical method to obtain local order parameter in two-dimensional systems using spiral boundary conditions. As a benchmark, we first estimate the magnitude of staggered magnetization for the S = 1/2 XXZ Heisenberg model on a square lattice in the whole range of the XXZ anis...

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Bibliographic Details
Published in:Journal of the Physical Society of Japan 2023-02, Vol.92 (2), p.1
Main Authors: Kadosawa, Masahiro, Nakamura, Masaaki, Ohta, Yukinori, Nishimoto, Satoshi
Format: Article
Language:English
Subjects:
Anisotropy
Boundary conditions
Heisenberg theory
Magnetization
Numerical methods
Order parameters
Series expansion
Statistical models
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Summary:We propose an efficient numerical method to obtain local order parameter in two-dimensional systems using spiral boundary conditions. As a benchmark, we first estimate the magnitude of staggered magnetization for the S = 1/2 XXZ Heisenberg model on a square lattice in the whole range of the XXZ anisotropy by density-matrix renormalization group technique. The validity of our method is confirmed by comparing our results with the previous analytical and numerical studies. Then, as further demonstration, we apply our method to obtain the staggered magnetization for the higher-spin cases from S = 1 to 6. The accuracy of the obtained results is validated using the series expansion and the spin-wave theory.
ISSN:0031-9015
1347-4073
DOI:10.7566/JPSJ.92.023701