Role of the spin anisotropy of the interchain interaction in weakly coupled antiferromagnetic Heisenberg chains

doi:10.1088/1674-1056/ab820b

中国物理B ›› 2020, Vol. 29 ›› Issue (5): 57505-057505.doi: 10.1088/1674-1056/ab820b

所属专题： Virtual Special Topic — Magnetism and Magnetic Materials

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Role of the spin anisotropy of the interchain interaction in weakly coupled antiferromagnetic Heisenberg chains

Yuchen Fan(樊宇辰), Rong Yu(俞榕)

Department of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China

收稿日期:2020-01-19 修回日期:2020-03-16 出版日期:2020-05-05 发布日期:2020-05-05
通讯作者: Rong Yu E-mail:rong.yu@ruc.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11674392), the Ministry of Science and Technology of China, National Program on Key Research Project (Grant No. 2016YFA0300504), and the Research Funds of Remnin University of China (Grant No. 18XNLG24). R.Y. acknowledges the hospitality at Tsung-Dao Lee Institute.

Role of the spin anisotropy of the interchain interaction in weakly coupled antiferromagnetic Heisenberg chains

Yuchen Fan(樊宇辰), Rong Yu(俞榕)

Department of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China

Received:2020-01-19 Revised:2020-03-16 Online:2020-05-05 Published:2020-05-05
Contact: Rong Yu E-mail:rong.yu@ruc.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11674392), the Ministry of Science and Technology of China, National Program on Key Research Project (Grant No. 2016YFA0300504), and the Research Funds of Remnin University of China (Grant No. 18XNLG24). R.Y. acknowledges the hospitality at Tsung-Dao Lee Institute.

摘要/Abstract

摘要： In quasi-one-dimensional (q1D) quantum antiferromagnets, the complicated interplay of intrachain and interchain exchange couplings may give rise to rich phenomena. Motivated by recent progress on field-induced phase transitions in the q1D antiferromagnetic (AFM) compound YbAlO₃, we study the phase diagram of spin-1/2 Heisenberg chains with Ising anisotropic interchain couplings under a longitudinal magnetic field via large-scale quantum Monte Carlo simulations, and investigate the role of the spin anisotropy of the interchain coupling on the ground state of the system. We find that the Ising anisotropy of the interchain coupling can significantly enhance the longitudinal spin correlations and drive the system to an incommensurate AFM phase at intermediate magnetic fields, which is understood as a longitudinal spin density wave (LSDW). With increasing field, the ground state changes to a canted AFM order with transverse spin correlations. We further provide a global phase diagram showing how the competition between the LSDW and the canted AFM states is tuned by the Ising anisotropy of the interchain coupling.

关键词: quasi-one-dimensional quantum antiferromagnets, Heisenberg spin chain, longitudinal spin density wave

Abstract: In quasi-one-dimensional (q1D) quantum antiferromagnets, the complicated interplay of intrachain and interchain exchange couplings may give rise to rich phenomena. Motivated by recent progress on field-induced phase transitions in the q1D antiferromagnetic (AFM) compound YbAlO₃, we study the phase diagram of spin-1/2 Heisenberg chains with Ising anisotropic interchain couplings under a longitudinal magnetic field via large-scale quantum Monte Carlo simulations, and investigate the role of the spin anisotropy of the interchain coupling on the ground state of the system. We find that the Ising anisotropy of the interchain coupling can significantly enhance the longitudinal spin correlations and drive the system to an incommensurate AFM phase at intermediate magnetic fields, which is understood as a longitudinal spin density wave (LSDW). With increasing field, the ground state changes to a canted AFM order with transverse spin correlations. We further provide a global phase diagram showing how the competition between the LSDW and the canted AFM states is tuned by the Ising anisotropy of the interchain coupling.

Key words: quasi-one-dimensional quantum antiferromagnets, Heisenberg spin chain, longitudinal spin density wave

中图分类号: (Spin chain models)

75.10.Pq

75.50.Ee (Antiferromagnetics) 75.30.Fv (Spin-density waves) 75.30.Gw (Magnetic anisotropy)

樊宇辰, 俞榕. Role of the spin anisotropy of the interchain interaction in weakly coupled antiferromagnetic Heisenberg chains[J]. 中国物理B, 2020, 29(5): 57505-057505.

Yuchen Fan(樊宇辰), Rong Yu(俞榕). Role of the spin anisotropy of the interchain interaction in weakly coupled antiferromagnetic Heisenberg chains[J]. Chin. Phys. B, 2020, 29(5): 57505-057505.

参考文献 27

[1]	Giamarchi T 2004 Quantum Physics in One Dimension (Oxford: Oxford Univ. Press)
[2]	Gu Z C and Wen X G 2009 Phys. Rev. B 80 155131 doi: 10.1103/PhysRevB.80.155131
[3]	Coldea R, Tennant D A, Wheeler E M, Wawrzynska E, Prabhakaran D, Telling M, Habicht K, Smeibidl P and Kiefer K 2010 Science 327 177 doi: 10.1126/science.1180085
[4]	Wu J, Kormos M and Si Q 2014 Phys. Rev. Lett. 113 247201 doi: 10.1103/PhysRevLett.113.247201
[5]	Wang Z, Wu J, Yang W, et al. 2018 Nature 554 219 doi: 10.1038/nature25466
[6]	Wang Z, Schmidt M, Loidl A, el al. 2019 Phys. Rev. Lett. 123 067202 doi: 10.1103/PhysRevLett.123.067202
[7]	Bera A K, Wu J, Yang W, Wang Z, Bewley R, Boehm M, Bartkowiak M, Prokhnenko O, Klemke B, A T M Nazmul Islam, Law J M and Lake B 2019 arXiv:1909.00146 [cond-mat.str-el]
[8]	Faure Q, Takayoshi S, Petit S, et al. 2018 Nat. Phys. 14 716 doi: 10.1038/s41567-018-0126-8
[9]	Cui Y, Zou H, Xi N, et al. 2019 Phys. Rev. Lett. 123 067203 doi: 10.1103/PhysRevLett.123.067203
[10]	Zapf V, Jaime M and Batista C D 2014 Rev. Mod. Phys. 86 563 doi: 10.1103/RevModPhys.86.563
[11]	Yu R, Yin L, Sullivan N S, et al. 2012 Nature 489 379 doi: 10.1038/nature11406
[12]	Faizi E and Eftekhari H 2015 Chin. Phys. Lett. 32 100303 doi: 10.1088/0256-307X/32/10/100303
[13]	Kimura S, Takeuchi T, Okunishi K, Hagiwara M, He Z, Kindo K, Taniyama T and Itoh M 2008 Phys. Rev. Lett. 100 057202 doi: 10.1103/PhysRevLett.100.057202
[14]	Kimura S, Matsuda M, Masuda T, Hondo S, Kaneko K, Metoki N, Hagiwara M, Takeuchi T, Okunishi K, He Z, Kindo K, Taniyama T and Itoh M 2008 Phys. Rev. Lett. 101 207201 doi: 10.1103/PhysRevLett.101.207201
[15]	Klanjsek M, Horvatic M, Kramer S, Mukhopadhyay S, Mayaffre H, Berthier C, Canevet E, Grenier B, Lejay P and Orignac E 2015 Phys. Rev. B 92 060408(R)
[16]	Shen L, Zaharko O, Birk J O, Jellyman E, He Z and Blackburn E 2019 New J. Phys. 21 073014 doi: 10.1088/1367-2630/ab2b7a
[17]	Haldane F D M 1980 Phys. Rev. Lett. 45 1358 doi: 10.1103/PhysRevLett.45.1358
[18]	Okunishi K and Suzuki T 2007 Phys. Rev. B 76 224411 doi: 10.1103/PhysRevB.76.224411
[19]	Suzuki T, Kawashima N and Okunishi K 2007 J. Phys. Soc. Jpn. 76 123707 doi: 10.1143/JPSJ.76.123707
[20]	Grenier B, Simonet V, Canals B, Lejay P, Klanjšek M, Horvatić M and Berthier C 2015 Phys. Rev. B 92 134416 doi: 10.1103/PhysRevB.92.134416
[21]	Lee S, Kaul R K and L Balents 2010 Nat. Phys. 6 702 doi: 10.1038/nphys1696
[22]	Wu L S, Nikitin S E, Wang Z, et al. 2019 Nat. Commun. 10 698 doi: 10.1038/s41467-019-08485-7
[23]	Agrapidis C E, J van den Brink and Nishimoto S 2019 Phys. Rev. B 99 224423 doi: 10.1103/PhysRevB.99.224423
[24]	Fan Y C, Yang J H, Yu W Q, Wu J D and Yu R 2020 Phys. Rev. Research 2 013345 doi: 10.1103/PhysRevResearch.2.013345
[25]	Wu L S, Nikitin S E, Brando M, et al. 2019 Phys. Rev. B 99 195117 doi: 10.1103/PhysRevB.99.195117
[26]	Syljuåsen O F and Sandvik A W 2002 Phys. Rev. E 66 046701 doi: 10.1103/PhysRevE.66.046701
[27]	Alet F, Wessel S and Troyer M 2005 Phys. Rev. E 71 036706 doi: 10.1103/PhysRevE.71.036706

Role of the spin anisotropy of the interchain interaction in weakly coupled antiferromagnetic Heisenberg chains

Role of the spin anisotropy of the interchain interaction in weakly coupled antiferromagnetic Heisenberg chains

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