Exchange frustration effect due to anisotropies on the spin-1/2 J1 - J1′ - J2 model

被引：2

作者：

Rufo, S. ^{[1
]}

Ricardo de Sousa, J. ^{[2
,3
]}

Plascak, J. A. ^{[4
,5
,6
]}

机构：

[1] Ctr Brasileiro Pesquisas Fis, Rua Xavier Sigaud 150 Urca, BR-22290180 Rio De Janeiro, RJ, Brazil

[2] Univ Fed Amazonas, 3000 Japiim, BR-69077000 Manaus, Amazonas, Brazil

[3] Natl Inst Sci & Technol Complex Syst, Rua Xavier Sigaud 150, BR-22290180 Rio De Janeiro, RJ, Brazil

[4] Univ Fed Minas Gerais, Dept Fis, CP 702, BR-30123970 Belo Horizonte, MG, Brazil

[5] Univ Fed Paraiba, Dept Fis, Caixa Postal 5008, BR-58051900 Joao Pessoa, Paraiba, Brazil

[6] Univ Georgia, Dept Phys & Astron, Athens, GA 30602 USA

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 518卷

关键词：

Magnetic frustrated systems; Anisotropic Heisenberg model; Variational method; Exchange frustration; J(1)-J(2) HEISENBERG-ANTIFERROMAGNET; VALENCE-BOND; EXACT-DIAGONALIZATION; GROUND-STATES; ORDER;

D O I：

10.1016/j.physa.2018.12.015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The ground state magnetic properties of the J(1) - J(1)' - J(2) spin-1/2 Heisenberg antiferro-magnetic model with exchange anisotropies is studied on the square lattice. Independent exchange anisotropies are included for first and second neighbors. The zero temperature phase diagram is obtained from a simple variational method based on a trial vector for the ground state. The data point out that these exchange anisotropies play an important role regarding not only the transitions between the ordered and the quantum disordered phases, but also the area of existence of the corresponding quantum disordered phase. This effect reveals the presence of an additional frustration, the so-called exchange frustration. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：349 / 362

页数：14

共 50 条

[1] Spin excitations in an anisotropic J1–J2 Heisenberg model
A. A. Vladimirov
D. Ihle
N. M. Plakida
[J]. Theoretical and Mathematical Physics, 2013, 177 : 1540 - 1554
[2] GROUND-STATES OF ISING-MODEL OF LINEAR CHAIN OF S=1 WITH J1 AND J2 AND OF S=1/2 WITH J1, J2 AND J3
KATSURA, S
NARITA, A
[J]. PROGRESS OF THEORETICAL PHYSICS, 1973, 50 (05): : 1750 - 1752
[3] Antikink dispersions of the J1–J2 sawtooth spin-1/2 anisotropic Heisenberg antiferromagnetic chain
Susobhan Paul
Asim Kumar Ghosh
[J]. The European Physical Journal B, 2019, 92
[4] IDENTITY OF GRAMICIDIN S J1 + J2
KURAHASHI, K
[J]. JOURNAL OF BIOCHEMISTRY, 1964, 56 (01): : 101 - &
[5] Low-energy singlet sector in the spin-1/2 J1–J2 Heisenberg model on a square lattice
A. Yu. Aktersky
A. V. Syromyatnikov
[J]. Journal of Experimental and Theoretical Physics, 2016, 123 : 1035 - 1042
[6] Spin liquid phase of the S=1/2 J1 - J2 Heisenberg model on the triangular lattice
Zhu, Zhenyue
White, Steven R.
[J]. PHYSICAL REVIEW B, 2015, 92 (04):
[7] Gapless quantum spin liquid and global phase diagram of the spin-1/2 J1 - J2 square antiferromagnetic Heisenberg model
Liu, Wen-Yuan
Gong, Shou-Shu
Li, Yu-Bin
Poilblanc, Didier
Chen, Wei-Qiang
Gu, Zheng-Cheng
[J]. SCIENCE BULLETIN, 2022, 67 (10) : 1034 - 1041
[8] Randomness-induced spin-liquid-like phase in the spin-1/2 J1 - J2 triangular Heisenberg model
Wu, Han-Qing
Gong, Shou-Shu
Sheng, D. N.
[J]. PHYSICAL REVIEW B, 2019, 99 (08)
[9] Zero Temperature Phases of the Frustrated J1–J2 Antiferromagnetic Spin-1/2 Heisenberg Model on a Simple Cubic Lattice
Kingshuk Majumdar
Trinanjan Datta
[J]. Journal of Statistical Physics, 2010, 139 : 714 - 726
[10] Phase diagram of the spin-1/2 J1-J2-J3 Heisenberg model on the square lattice with ferromagnetic J1
Sindzingre, Philippe
Seabra, L.
Shannon, Nic
Momoi, Tsutomu
[J]. HIGHLY FRUSTRATED MAGNETISM 2008 (HFM 2008), 2009, 145

← 1 2 3 4 5 →