Thermodynamics around magnetic phase transitions in alternating double-chain spin systems

doi:10.1088/1674-1056/23/12/127401

›› 2014, Vol. 23 ›› Issue (12): 127401-127401.doi: 10.1088/1674-1056/23/12/127401

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

Thermodynamics around magnetic phase transitions in alternating double-chain spin systems

丁林杰, 钟园, 樊帅伟, 朱丽娅

Department of Physics, China Three Gorges University, Yichang 443002, China

收稿日期:2014-05-21 修回日期:2014-07-26 出版日期:2014-12-15 发布日期:2014-12-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11204157, 11174179, and 11247020), the Hubei Provincial Natural Science Foundation, China (Grant No. D20131307), and the China Three Gorges University Project (Grant No. KJ2011B068).

Thermodynamics around magnetic phase transitions in alternating double-chain spin systems

Ding Lin-Jie (丁林杰), Zhong Yuan (钟园), Fan Shuai-Wei (樊帅伟), Zhu Li-Ya (朱丽娅)

Department of Physics, China Three Gorges University, Yichang 443002, China

Received:2014-05-21 Revised:2014-07-26 Online:2014-12-15 Published:2014-12-15
Contact: Ding Lin-Jie E-mail:dinglinjie82@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11204157, 11174179, and 11247020), the Hubei Provincial Natural Science Foundation, China (Grant No. D20131307), and the China Three Gorges University Project (Grant No. KJ2011B068).

摘要/Abstract

摘要： The thermodynamics and quantum phase transitions of two typically alternating double-chain systems are investigated by Green's function theory. (i) For the completely antiferromagnetic (AFM) alternating double-chain, the low-temperature antiferromagnetism with gapped behavior is observed, which is in accordance with the experimental result. In a magnetic field, we unveil the ground state phase diagram with zero plateau, 1/2 plateau, and polarized ferromagnetic (FM) phases, as a result of the intra-cluster spin-singlet competition. Furthermore, the Grüneisen ratio is an excellent tool to identify the quantum criticality and testify various quantum phases. (ii) For the antiferromagnetically coupled FM alternating chains, the 1/2 magnetization plateau and double-peak structure of specific heat appear, which are also observed experimentally. Nevertheless, the M–h curve shows an anomalous behavior in an ultra-low field, which is ascribed to the effectively weak Haldane-like state, demonstrated by the two-site entanglement entropy explicitly.

关键词: thermodynamics, quantum phase transition, double-chain spin system

Abstract: The thermodynamics and quantum phase transitions of two typically alternating double-chain systems are investigated by Green's function theory. (i) For the completely antiferromagnetic (AFM) alternating double-chain, the low-temperature antiferromagnetism with gapped behavior is observed, which is in accordance with the experimental result. In a magnetic field, we unveil the ground state phase diagram with zero plateau, 1/2 plateau, and polarized ferromagnetic (FM) phases, as a result of the intra-cluster spin-singlet competition. Furthermore, the Grüneisen ratio is an excellent tool to identify the quantum criticality and testify various quantum phases. (ii) For the antiferromagnetically coupled FM alternating chains, the 1/2 magnetization plateau and double-peak structure of specific heat appear, which are also observed experimentally. Nevertheless, the M–h curve shows an anomalous behavior in an ultra-low field, which is ascribed to the effectively weak Haldane-like state, demonstrated by the two-site entanglement entropy explicitly.

Key words: thermodynamics, quantum phase transition, double-chain spin system

中图分类号: (Thermodynamic properties)

74.25.Bt

75.30.Kz (Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.)) 75.10.Pq (Spin chain models)

丁林杰, 钟园, 樊帅伟, 朱丽娅. Thermodynamics around magnetic phase transitions in alternating double-chain spin systems[J]. , 2014, 23(12): 127401-127401.

Ding Lin-Jie (丁林杰), Zhong Yuan (钟园), Fan Shuai-Wei (樊帅伟), Zhu Li-Ya (朱丽娅). Thermodynamics around magnetic phase transitions in alternating double-chain spin systems[J]. Chin. Phys. B, 2014, 23(12): 127401-127401.

参考文献 0


[1]	Sachdev S 2000 Science 288 475 doi: 10.1126/science.288.5465.475

[2]	Kikuchi H, Fujii Y, Chiba M, Mitsudo S, Idehara T, Tonegawa T, Okamoto K, Sakai T, Kuwai T and Ohta H 2005 Phys. Rev. Lett. 94 227201 doi: 10.1103/PhysRevLett.94.227201

[3]	Wolfa B, Tsuia Y, Jaiswal-Nagara D, Tutscha U, Honeckerb A, Remović-Langera K, Hofmanna G, Prokofievc A, Assmusa W, Donathd G and Langa M 2011 Proc. Natl. Acad. Sci. USA 108 6862 doi: 10.1073/pnas.1017047108

[4]	Liu W J, Xin Z H, Chen S L and Zhang C Y 2013 Chin. Phys. B 22 027501

[5]	Carr L D 2011 Understanding Quantum Phase Transitions (CRC Press, Taylor and Francis Group, LLC)

[6]	Azzouz M 2008 Phys. Rev. B 78 014421 doi: 10.1103/PhysRevB.78.014421

[7]	Gong S S, Gao S and Su G 2009 Phys. Rev. B 80 014413 doi: 10.1103/PhysRevB.80.014413

[8]	Chen S R, Xia Y J and Man Z X 2010 Chin. Phys. B 19 050304

[9]	Tan X D, Jin B Q and Gao W 2013 Chin. Phys. B 22 020308

[10]	Garst M and Rosch A 2005 Phys. Rev. B 72 205129 doi: 10.1103/PhysRevB.72.205129

[11]	Meingast C, Hardy F, Heid R, Adelmann P, Böhmer A, Burger P, Ernst D, Fromknecht R, Schweiss P and Wolf T 2012 Phys. Rev. Lett. 108 177004 doi: 10.1103/PhysRevLett.108.177004

[12]	Trippe C, Honecker A, Klümper A and Ohanyan V 2010 Phys. Rev. B 81 054402 doi: 10.1103/PhysRevB.81.054402

[13]	Qi Y, Du A and Ma Y 2012 Phys. Lett. A 377 27 doi: 10.1016/j.physleta.2012.11.010

[14]	Jafari R 2012 Eur. Phys. J. B 85 167 doi: 10.1140/epjb/e2012-20682-5

[15]	Topilko M, Krokhmalskii T, Derzhko O and Ohanyan V 2012 Eur. Phys. J. B 85 278 doi: 10.1140/epjb/e2012-30359-8

[16]	Ohanyan V and Honecker A 2012 Phys. Rev. B 86 054412 doi: 10.1103/PhysRevB.86.054412

[17]	Boyarchemkov A S, Bostrem I G and Ovchinnikov A S 2007 Phys. Rev. B 76 224410 doi: 10.1103/PhysRevB.76.224410

[18]	Pereira M S S, de Moura F A B F and Lyra M L 2009 Phys. Rev. B 79 054427 doi: 10.1103/PhysRevB.79.054427

[19]	Totsuka K 1997 Phys. Rev. B 57 3454

[20]	Oshikawa M, Yamanaka M and Affleck I 1997 Phys. Rev. Lett. 78 1984 doi: 10.1103/PhysRevLett.78.1984

[21]	Rüegg Ch, Kiefer K, Thielemann B, McMorrow D F, Zapf V, Normand B, Zvonarev M B, Bouillot P, Kollath C, Giamarchi T, Capponi S, Poilblanc D, Biner D and Krämer K W 2008 Phys. Rev. Lett. 101 247202 doi: 10.1103/PhysRevLett.101.247202

[22]	Ding L J, Yao K L and Fu H H 2010 ChemPhysChem 11 3291 doi: 10.1002/cphc.201000410

[23]	Hong T, Kim Y H, Hotta C, Takano Y, Tremelling G, Turnbull M M, Landee C P, Kang H J, Christensen N B, Lefmann K, Schmidt K P, Uhrig G S and Broholm C 2010 Phys. Rev. Lett. 105 137207 doi: 10.1103/PhysRevLett.105.137207

[24]	Yamaguchi H, Iwase K, Ono T, Shimokawa T, Nakano H, Shimura Y, Kase N, Kittaka S, Sakakibara T, Kawakami T and Hosokoshi Y 2013 Phys. Rev. Lett. 110 157205 doi: 10.1103/PhysRevLett.110.157205

[25]	Yamaguchi H, Miyagai H, Shimokawa T, Iwase K, Ono T, Kono Y, Kase N, Araki K, Kittaka S, Sakakibara T, Kawakami T, Okunishi K and Hosokoshi Y 2014 J. Phys. Soc. Jpn. arXiv: 1402.2743v1

[26]	Iruoka A, Fukada M, Kumai R, Itakura M, Hikami S and Sugawara T 1994 J. Am. Chem. Soc. 116 2609 doi: 10.1021/ja00085a047

[27]	Shiomi D, Kanaya T, Sato K, Mito M, Takeda K and Takui T 2001 J. Am. Chem. Soc. 123 11823 doi: 10.1021/ja016827q

[28]	Hayakawa K, Shiomi D, Ise T, Sato K and Takui T 2006 J. Mater. Chem. 16 4146 doi: 10.1039/b609760j

[29]	Ise T, Shiomi D, Sato K and Takui T 2006 Chem. Commun. 46 4832

[30]	Maekawa K, Shiomi D, Ise T, Sato K and Takui T 2007 Org. Biomol. Chem. 5 1641 doi: 10.1039/b702606d

[31]	Gilroy J B, McKinnon S D J, Kennepohl P, Zsombor M S, Ferguson M J, Thompson L K and Hicks R G 2007 J. Org. Chem. 72 8062 doi: 10.1021/jo7014449

[32]	Zoppellaro G, Geies A, Andersson K K, Enkelmann V and Baumgarten M 2008 Eur. J. Org. Chem. 1431

[33]	Tanaka H, Shiomi D, Suzuki S, Kozaki M, Okada K, Sato K and Takui T 2010 CrystEngComm 12 526 doi: 10.1039/b909757k

[34]	Hui P, Arif M K and Chandrasekar R 2012 Org. Biomol. Chem. 10 2439 doi: 10.1039/c2ob06875c

[35]	Gao Y, Liu C G and Jiang Y S 2002 J. Phys. Chem. A 106 2592

[36]	Zhu Y Y, Cui C, Li N, Wang B W, Wang Z M and Gao S 2013 Eur. J. Inorg. Chem. 3101

[37]	Zhao Y, Li W, Xi B, Ran S J, Zhu Y Y, Wang B W, Gao S and Su G 2013 Europhys. Lett. 104 57009 doi: 10.1209/0295-5075/104/57009

[38]	Iwase K, Yamaguchi H, Ono T, Shimokawa T, Nakano H, Matsuo A, Kindo K, Nojiri H and Hosokoshi Y 2013 J. Phys. Soc. Jpn. 82 074719 doi: 10.7566/JPSJ.82.074719

[39]	Jordan P and Wigner E 1928 Z. Phys. 47 631 doi: 10.1007/BF01331938

[40]	Lieb E, Schultz T and Mattis D 1961 Ann. Phys. 16 407 doi: 10.1016/0003-4916(61)90115-4

[41]	Azzouz M 1993 Phys. Rev. B 48 6136 doi: 10.1103/PhysRevB.48.6136

[42]	Azzouz M 2007 Phys. Rev. B 76 064419 doi: 10.1103/PhysRevB.76.064419

[43]	Tyablikov S V 1967 Methods in the Quantum Theory of Magnetism (New York: Plenum)

[44]	Callen H B 1963 Phys. Rev. 130 890 doi: 10.1103/PhysRev.130.890

[45]	de Lima J P and Goncalves L L 1999 J. Magn. Magn. Mater. 206 135 doi: 10.1016/S0304-8853(99)00446-1

[46]	Fröbrich P and Kuntz P J 2006 Phys. Rep. 432 223 doi: 10.1016/j.physrep.2006.07.002

[47]	Wells B M, Landee C P, Turnbull M M, Awwadi F F and Twamley B 2005 J. Mol. Cat. A: Chem. 228 117 doi: 10.1016/j.molcata.2004.09.068

[48]	Li Y C and Li S S 2008 Phys. Rev. B 78 184412 doi: 10.1103/PhysRevB.78.184412

[49]	Yamaguchi H, Okubo T, Iwase K, Ono T, Kono Y, Kittaka S, Sakakibara T, Matsuo A, Kindo K and Hosokoshi Y 2013 Phys. Rev. B 88 174410 doi: 10.1103/PhysRevB.88.174410

[50]	Haldane F D M 1983 Phys. Rev. Lett. 50 1153 doi: 10.1103/PhysRevLett.50.1153

[51]	Date M and Kindo K 1990 Phys. Rev. Lett. 65 1659 doi: 10.1103/PhysRevLett.65.1659

Thermodynamics around magnetic phase transitions in alternating double-chain spin systems

Thermodynamics around magnetic phase transitions in alternating double-chain spin systems

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 0

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Yan-Wei Dai(代艳伟), Sheng-Hao Li(李生好), and Xi-Hao Chen(陈西浩). Universal order-parameter and quantum phase transition for two-dimensional q-state quantum Potts model[J]. 中国物理B, 2022, 31(7): 70502-070502.
[2]	Kaiyuan Cao(曹凯源), Ming Zhong(钟鸣), and Peiqing Tong(童培庆). Dynamical quantum phase transition in XY chains with the Dzyaloshinskii-Moriya and XZY-YZX three-site interactions[J]. 中国物理B, 2022, 31(6): 60505-060505.
[3]	Yongqin Zhang(张永钦), Hua Yang(杨华), Yaguang Sun(孙亚光),Xiangrui Zheng(郑香蕊), and Yafang Guo(郭雅芳). Molecular dynamics simulations of mechanical properties of epoxy-amine: Cross-linker type and degree of conversion effects[J]. 中国物理B, 2022, 31(6): 64209-064209.
[4]	Gaopei Pan(潘高培), Weilun Jiang(姜伟伦), and Zi Yang Meng(孟子杨). A sport and a pastime: Model design and computation in quantum many-body systems[J]. 中国物理B, 2022, 31(12): 127101-127101.
[5]	Luyu Gan(甘露雨), Rusong Chen(陈汝颂), Xiqian Yu(禹习谦), and Hong Li(李泓). Understanding the battery safety improvement enabled by a quasi-solid-state battery design[J]. 中国物理B, 2022, 31(11): 118202-118202.
[6]	Hengcan Zhao(赵恒灿), Meng Lyu(吕孟), Jiahao Zhang(张佳浩), Shuai Zhang(张帅), and Peijie Sun(孙培杰). Quantum phase transitions in CePdAl probed by ultrasonic and thermoelectric measurements[J]. 中国物理B, 2022, 31(11): 117103-117103.
[7]	Xiu-Xing Zhang(张修兴), Fang-Jv Li(李芳菊), Kai Wang(王凯), Jing Xue(薛晶), Guang-Wen Huo(霍广文), Ai-Ping Fang(方爱平), and Hong-Rong Li(李宏荣). Detection of multi-spin interaction of a quenched XY chain by the average work and the relative entropy[J]. 中国物理B, 2021, 30(9): 90504-090504.
[8]	Yusong Cao(曹雨松), Junpeng Cao(曹俊鹏), and Heng Fan(范桁). Ferromagnetic Heisenberg spin chain in a resonator[J]. 中国物理B, 2021, 30(9): 90506-090506.
[9]	Cong Fu(傅聪), Hui Zhao(赵晖), Yu-Guang Chen(陈宇光), and Yong-Hong Yan(鄢永红). Ground-state phase diagram of the dimerizedspin-1/2 two-leg ladder[J]. 中国物理B, 2021, 30(8): 87501-087501.
[10]	Guangyu Sun(孙光宇), Nvsen Ma(马女森), Bowen Zhao(赵博文), Anders W. Sandvik, and Zi Yang Meng(孟子杨). Emergent O(4) symmetry at the phase transition from plaquette-singlet to antiferromagnetic order in quasi-two-dimensional quantum magnets[J]. 中国物理B, 2021, 30(6): 67505-067505.
[11]	Hui-Fang Wang(王慧芳), Jin-Jun Zhang(张进军), and Jian-Jun Zhang(张建军). Classical-field description of Bose-Einstein condensation of parallel light in a nonlinear optical cavity[J]. 中国物理B, 2021, 30(11): 110301-110301.
[12]	李依依, 张昊春. Establishment and evaluation of a co-effect structure with thermal concentration-rotation function in transient regime[J]. 中国物理B, 2020, 29(8): 84401-084401.
[13]	王晨, 徐大智. A polaron theory of quantum thermal transistor in nonequilibrium three-level systems[J]. 中国物理B, 2020, 29(8): 80504-080504.
[14]	胡馨匀, 何柯健, 李中华, 李国平. Thermodynamics and weak cosmic censorship conjecture of charged AdS black hole in the Rastall gravity with pressure[J]. 中国物理B, 2020, 29(5): 50401-050401.
[15]	赵博文, Jun Takahashi, Anders W. Sandvik. Tunable deconfined quantum criticality and interplay of different valence-bond solid phases[J]. 中国物理B, 2020, 29(5): 57506-057506.