Work

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

Year: 2022

Type: article

Abstract: 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 $S=6$. The accuracy of the obtained results is validated using the series expansion and the spin-wave theory.

Source: Journal of the Physical Society of Japan

DOI: 10.7566/jpsj.92.023701

Authors: Masahiro Kadosawa, Masaaki Nakamura, Yukinori Ohta, Satoshi Nishimoto

Institutions: Chiba University, Ehime University, Leibniz Institute for Solid State and Materials Research, Technische Universität Dresden

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Japan Society for the Promotion of Science