Real-Space Renormalization-Group Analysis of the S=2 Antiferromagnetic Heisenberg Chain

Yoshihiro Nishiyama; Keisuke Totsuka; Naomichi Hatano; Masuo Suzuki

doi:10.1143/JPSJ.64.414

Real-Space Renormalization-Group Analysis of the S=2 Antiferromagnetic Heisenberg Chain

Yoshihiro Nishiyama, Keisuke Totsuka, Naomichi Hatano, Masuo Suzuki

Research output: Contribution to journal › Article › peer-review

37 Citations (Scopus)

Abstract

The S=2 antiferromagnetic Heisenberg open chain is analyzed with the real-space numerical renormalization-group method improved by White. The low-lying spectrum and the one-point function are evaluated to show the degeneracy and the boundary effect on the ground state. Generalized string correlation functions were calculated for θ=π and θ=π/2. The θ=π/2 string correlation is found to indicate the long-range hidden order of the ground state. These results are quite consistent with the S=2 vbs argument.

Original language	English
Pages (from-to)	414-422
Number of pages	9
Journal	journal of the physical society of japan
Volume	64
Issue number	2
DOIs	https://doi.org/10.1143/JPSJ.64.414
Publication status	Published - Feb 1995
Externally published	Yes

Keywords

Haldane conjecture
S=2 system
antiferromagnetic Heisenberg chain
density-matrix renormalization method
quantum spin systems
valence-bond solid

ASJC Scopus subject areas

Physics and Astronomy(all)

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title = "Real-Space Renormalization-Group Analysis of the S=2 Antiferromagnetic Heisenberg Chain",

abstract = "The S=2 antiferromagnetic Heisenberg open chain is analyzed with the real-space numerical renormalization-group method improved by White. The low-lying spectrum and the one-point function are evaluated to show the degeneracy and the boundary effect on the ground state. Generalized string correlation functions were calculated for θ=π and θ=π/2. The θ=π/2 string correlation is found to indicate the long-range hidden order of the ground state. These results are quite consistent with the S=2 vbs argument.",

keywords = "Haldane conjecture, S=2 system, antiferromagnetic Heisenberg chain, density-matrix renormalization method, quantum spin systems, valence-bond solid",

author = "Yoshihiro Nishiyama and Keisuke Totsuka and Naomichi Hatano and Masuo Suzuki",

year = "1995",

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language = "English",

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T1 - Real-Space Renormalization-Group Analysis of the S=2 Antiferromagnetic Heisenberg Chain

AU - Nishiyama, Yoshihiro

AU - Totsuka, Keisuke

AU - Hatano, Naomichi

AU - Suzuki, Masuo

PY - 1995/2

Y1 - 1995/2

N2 - The S=2 antiferromagnetic Heisenberg open chain is analyzed with the real-space numerical renormalization-group method improved by White. The low-lying spectrum and the one-point function are evaluated to show the degeneracy and the boundary effect on the ground state. Generalized string correlation functions were calculated for θ=π and θ=π/2. The θ=π/2 string correlation is found to indicate the long-range hidden order of the ground state. These results are quite consistent with the S=2 vbs argument.

AB - The S=2 antiferromagnetic Heisenberg open chain is analyzed with the real-space numerical renormalization-group method improved by White. The low-lying spectrum and the one-point function are evaluated to show the degeneracy and the boundary effect on the ground state. Generalized string correlation functions were calculated for θ=π and θ=π/2. The θ=π/2 string correlation is found to indicate the long-range hidden order of the ground state. These results are quite consistent with the S=2 vbs argument.

KW - Haldane conjecture

KW - S=2 system

KW - antiferromagnetic Heisenberg chain

KW - density-matrix renormalization method

KW - quantum spin systems

KW - valence-bond solid

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JO - Journal of the Physical Society of Japan

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