Critical and glassy phases in non-disordered antiferromagnetic heisenberg model on triangular lattice

Yusuke Tomita, Naoki Kawashima

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We propose a non-disordered antiferromagnetic Heisenberg spin model on a triangular lattice, which exhibits a critical state and a glassy state at low temperatures. The system has three phases, the paramagnetic, the intermediate critical, and the glassy phase. The intermediate phase is characterized by a quasi-long-range order, whereas only short-range order exists in the glassy phase. Using Monte Carlo simulation, the phase transitions and properties of the two phases at low temperatures are examined. Our spin model shows that the variable-length spin and the competition between bilinear and biquadratic interactions are essential for forming the critical and glassy phases.

Original languageEnglish
Article number054001
JournalJournal of the Physical Society of Japan
Volume80
Issue number5
DOIs
Publication statusPublished - 2011 May
Externally publishedYes

Fingerprint

simulation
interactions

Keywords

  • Critical phenomena
  • Frustration
  • Heisenberg antiferromagnet
  • Monte Carlo simulation
  • Phase transition
  • Triangular lattice

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Critical and glassy phases in non-disordered antiferromagnetic heisenberg model on triangular lattice. / Tomita, Yusuke; Kawashima, Naoki.

In: Journal of the Physical Society of Japan, Vol. 80, No. 5, 054001, 05.2011.

Research output: Contribution to journalArticle

@article{ad6f2b1d5fbd43748baca1a38eb653a0,
title = "Critical and glassy phases in non-disordered antiferromagnetic heisenberg model on triangular lattice",
abstract = "We propose a non-disordered antiferromagnetic Heisenberg spin model on a triangular lattice, which exhibits a critical state and a glassy state at low temperatures. The system has three phases, the paramagnetic, the intermediate critical, and the glassy phase. The intermediate phase is characterized by a quasi-long-range order, whereas only short-range order exists in the glassy phase. Using Monte Carlo simulation, the phase transitions and properties of the two phases at low temperatures are examined. Our spin model shows that the variable-length spin and the competition between bilinear and biquadratic interactions are essential for forming the critical and glassy phases.",
keywords = "Critical phenomena, Frustration, Heisenberg antiferromagnet, Monte Carlo simulation, Phase transition, Triangular lattice",
author = "Yusuke Tomita and Naoki Kawashima",
year = "2011",
month = "5",
doi = "10.1143/JPSJ.80.054001",
language = "English",
volume = "80",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "5",

}

TY - JOUR

T1 - Critical and glassy phases in non-disordered antiferromagnetic heisenberg model on triangular lattice

AU - Tomita, Yusuke

AU - Kawashima, Naoki

PY - 2011/5

Y1 - 2011/5

N2 - We propose a non-disordered antiferromagnetic Heisenberg spin model on a triangular lattice, which exhibits a critical state and a glassy state at low temperatures. The system has three phases, the paramagnetic, the intermediate critical, and the glassy phase. The intermediate phase is characterized by a quasi-long-range order, whereas only short-range order exists in the glassy phase. Using Monte Carlo simulation, the phase transitions and properties of the two phases at low temperatures are examined. Our spin model shows that the variable-length spin and the competition between bilinear and biquadratic interactions are essential for forming the critical and glassy phases.

AB - We propose a non-disordered antiferromagnetic Heisenberg spin model on a triangular lattice, which exhibits a critical state and a glassy state at low temperatures. The system has three phases, the paramagnetic, the intermediate critical, and the glassy phase. The intermediate phase is characterized by a quasi-long-range order, whereas only short-range order exists in the glassy phase. Using Monte Carlo simulation, the phase transitions and properties of the two phases at low temperatures are examined. Our spin model shows that the variable-length spin and the competition between bilinear and biquadratic interactions are essential for forming the critical and glassy phases.

KW - Critical phenomena

KW - Frustration

KW - Heisenberg antiferromagnet

KW - Monte Carlo simulation

KW - Phase transition

KW - Triangular lattice

UR - http://www.scopus.com/inward/record.url?scp=79956110892&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79956110892&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.80.054001

DO - 10.1143/JPSJ.80.054001

M3 - Article

VL - 80

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 5

M1 - 054001

ER -