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

39 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)

Access to Document

10.1143/JPSJ.64.414

Cite this

@article{15ca6e25ca084efa9dd6b61d296ace24,

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",

month = feb,

doi = "10.1143/JPSJ.64.414",

language = "English",

volume = "64",

pages = "414--422",

journal = "Journal of the Physical Society of Japan",

issn = "0031-9015",

publisher = "Physical Society of Japan",

number = "2",

}

TY - JOUR

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

UR - http://www.scopus.com/inward/record.url?scp=21844487838&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844487838&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.64.414

DO - 10.1143/JPSJ.64.414

M3 - Article

AN - SCOPUS:21844487838

VL - 64

SP - 414

EP - 422

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this