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

[21] Magnetic trilayers with bilinear and biquadratic exchange couplings:: Criteria for the measurement of J1 and J2
Chesman, C
Lucena, MA
de Moura, MC
Azevedo, A
de Aguiar, FM
Rezende, SM
Parkin, SSP
[J]. PHYSICAL REVIEW B, 1998, 58 (01): : 101 - 104
[22] Spin-1 J1 - J2 - J3 ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice: A bosonic approach
Carvalho, D. C.
Pires, A. S. T.
Mol, L. A. S.
[J]. JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2016, 407 : 341 - 347
[23] Spatially Anisotropic Spin J1 - J2 Heisenberg Model for an Antiferromagnetic Square Lattice: Phase Diagrams
Ilkovic, V.
[J]. ACTA PHYSICA POLONICA A, 2018, 133 (01) : 206 - 209
[24] Chiral spin liquid and quantum phase diagram of spin-1/2 J1 - J2-Jx model on the square lattice
Zhang, Xiao-Tian
Huang, Yixuan
Wu, Han-Qing
Sheng, D. N.
Gong, Shou-Shu
[J]. PHYSICAL REVIEW B, 2024, 109 (12)
[25] RNases J1 and J2 are critical pleiotropic regulators in Streptococcus mutans
Chen, Xi
Liu, Nan
Khajotia, Sharukh
Qi, Fengxia
Merritt, Justin
[J]. MICROBIOLOGY-SGM, 2015, 161 : 797 - 806
[26] Magnetic properties of the spin-1 J1 - J3 Heisenberg model on a triangular lattice
Nguyen Van Hinh
Pham Thi Thanh Nga
[J]. 48TH VIETNAM CONFERENCE ON THEORETICAL PHYSICS, VCTP-48, 2024, 2744
[27] Exact solution of an anisotropic J1–J2 model with the Dzyloshinsky–Moriya interactions at boundaries
Yusong Cao
Jian Wang
Yi Qiao
Junpeng Cao
Wen-Li Yang
[J]. Communications in Theoretical Physics, 2021, 73 (07) : 3 - 8
[28] Schwinger boson theory of the J1, J2=J3 kagome antiferromagnet
Lugan, Tristan
Jaubert, Ludovic D. C.
Udagawa, Masafumi
Ralko, Arnaud
[J]. PHYSICAL REVIEW B, 2022, 106 (14)
[29] Spin-Peierls transition of J1 - J2 and extended models with ferromagnetic J1: Sublattice dimerization and thermodynamics of zigzag chains in β-TeVO4
Routh, Manodip
Saha, Sudip Kumar
Kumar, Manoranjan
Soos, Zoltan G.
[J]. PHYSICAL REVIEW B, 2022, 105 (23)
[30] On the ranks of Janko groups J1, J2, J3 and J4
Ali, Faryad
Moori, Jamshid
[J]. QUAESTIONES MATHEMATICAE, 2008, 31 (01) : 37 - 44

← 1 2 3 4 5 →