Néel-VBS phase boundary of the extended J 1-J 2 model with biquadratic interaction

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The J 1-J 2 model with the biquadratic (plaquette-four-spin) interaction was simulated with the numerical diagonalization method. Some limiting cases of this model have been investigated thoroughly. Taking advantage of the extended parameter space, we survey the phase boundary separating the Néel and valence-bond-solid phases. According to the deconfined-criticality scenario, the singularity of this phase boundary is continuous, accompanied with unconventional critical indices. Diagonalizing the finite-size cluster with N≤36 spins, we observe a signature of continuous phase transition. Our tentative estimate for the correlation-length critical exponent is ν=1.1(3). In order to elucidate a nonlocal character of criticality, we evaluated the Roomany-Wyld β function around the critical point.

Original languageEnglish
Article number014403
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume85
Issue number1
DOIs
Publication statusPublished - Jan 4 2012

Fingerprint

Phase boundaries
solid phases
Numerical methods
critical point
Phase transitions
signatures
interactions
exponents
valence
estimates
Solid Bond

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

@article{09b963385bc5491482d22d66c9c8bff5,
title = "N{\'e}el-VBS phase boundary of the extended J 1-J 2 model with biquadratic interaction",
abstract = "The J 1-J 2 model with the biquadratic (plaquette-four-spin) interaction was simulated with the numerical diagonalization method. Some limiting cases of this model have been investigated thoroughly. Taking advantage of the extended parameter space, we survey the phase boundary separating the N{\'e}el and valence-bond-solid phases. According to the deconfined-criticality scenario, the singularity of this phase boundary is continuous, accompanied with unconventional critical indices. Diagonalizing the finite-size cluster with N≤36 spins, we observe a signature of continuous phase transition. Our tentative estimate for the correlation-length critical exponent is ν=1.1(3). In order to elucidate a nonlocal character of criticality, we evaluated the Roomany-Wyld β function around the critical point.",
author = "Yoshihiro Nishiyama",
year = "2012",
month = "1",
day = "4",
doi = "10.1103/PhysRevB.85.014403",
language = "English",
volume = "85",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Physical Society",
number = "1",

}

TY - JOUR

T1 - Néel-VBS phase boundary of the extended J 1-J 2 model with biquadratic interaction

AU - Nishiyama, Yoshihiro

PY - 2012/1/4

Y1 - 2012/1/4

N2 - The J 1-J 2 model with the biquadratic (plaquette-four-spin) interaction was simulated with the numerical diagonalization method. Some limiting cases of this model have been investigated thoroughly. Taking advantage of the extended parameter space, we survey the phase boundary separating the Néel and valence-bond-solid phases. According to the deconfined-criticality scenario, the singularity of this phase boundary is continuous, accompanied with unconventional critical indices. Diagonalizing the finite-size cluster with N≤36 spins, we observe a signature of continuous phase transition. Our tentative estimate for the correlation-length critical exponent is ν=1.1(3). In order to elucidate a nonlocal character of criticality, we evaluated the Roomany-Wyld β function around the critical point.

AB - The J 1-J 2 model with the biquadratic (plaquette-four-spin) interaction was simulated with the numerical diagonalization method. Some limiting cases of this model have been investigated thoroughly. Taking advantage of the extended parameter space, we survey the phase boundary separating the Néel and valence-bond-solid phases. According to the deconfined-criticality scenario, the singularity of this phase boundary is continuous, accompanied with unconventional critical indices. Diagonalizing the finite-size cluster with N≤36 spins, we observe a signature of continuous phase transition. Our tentative estimate for the correlation-length critical exponent is ν=1.1(3). In order to elucidate a nonlocal character of criticality, we evaluated the Roomany-Wyld β function around the critical point.

UR - http://www.scopus.com/inward/record.url?scp=84856446051&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856446051&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.85.014403

DO - 10.1103/PhysRevB.85.014403

M3 - Article

AN - SCOPUS:84856446051

VL - 85

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 1

M1 - 014403

ER -