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反对称Spin-1/2阻挫钻石链的基态和磁化行为研究

赵阳 齐岩 杜安 刘佳 肖瑞 单莹 吴忧 杨思浩

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反对称Spin-1/2阻挫钻石链的基态和磁化行为研究

赵阳, 齐岩, 杜安, 刘佳, 肖瑞, 单莹, 吴忧, 杨思浩

Ground-state and magnetization behavior of the frustrated spin-1/2 antisymmetric diamond chain

Zhao Yang, Qi Yan, Du An, Liu Jia, Xiao Rui, Shan Ying, Wu You, Yang Si-Hao
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  • 对含有次近邻节点自旋交换耦合的自旋-1/2伊辛-海森伯钻石链体系进行了研究,利用矩阵对角化和传递矩阵方法对基态磁相和宏观热力学量进行了严格求解,重点探讨了所有交换耦合均为反铁磁耦合时,体系节点伊辛自旋间次近邻相互作用的影响.研究结果表明次近邻节点伊辛自旋存在反铁磁耦合时会增强系统的阻挫效应,引入破坏平移对称性的经典亚铁磁相,使基态呈现出上上上下上上的自旋构型以及磁化曲线新颖的2/3磁化平台,丰富了体系的基态相图和宏观磁性行为.
    The low-dimensional quantum spin systems have been extensively studied in the past three decades due to the novel ground states and rich magnetic behaviors,especially the quantum spin chain with diamond topology structure. Motivated by recent experimental success in Cu3(CO3)2(OH)2 compound,which is regarded as a model material of spin-1/2 diamond chain,researchers have paid a lot of attention to various variants of diamond spin chains.In this paper,we mainly examine the magnetic properties of an antisymmetric spin-1/2 Ising-Heisenberg diamond chain with the secondneighbor interaction between nodal spins.By using exact diagonalization and transfer-matrix methods,the ground-state phase diagram,magnetization behavior and macroscopic thermodynamics are exactly solved for the particular case that all magnetic bonds yield antiferromagnetic couplings,which usually shows the most interesting magnetic features closely related to a striking interplay between geometric frustration and quantum fluctuations.To clearly illustrate the effect of second-neighbor interaction item,we consider a highly frustrated situation that all Ising-Heisenberg bonds and Heisenberg bonds possess the same interaction strength.The calculation results indicate that the second-neighbor interaction item will enrich ground states and magnetization plateaus.A classical ferrimagnetic phase FRI1 corresponding to a novel two-thirds of intermediate plateau with translationally broken symmetry is introduced,manifesting itself as up-up-up-down-up-up spin configuration at a ground-state.In addition,there are other four distinct ground states which can be identified from the phase diagram,i.e.,one saturated paramagnetic phase SP,one classical ferrimagnetic phase FRI2,one quantum ferrimagnetic phase QFI and the unique quantum antiferromagnetic phase QAF.The classical phase FRI2 and quantum phase QFI both generate one-third of magnetization plateau.It is worth mentioning that all the values of these magnetization plateaus satisfy the Oshikawa-Yamanaka-Affleck condition.Besides,the results also have shown a rich variety of temperature dependence of total magnetization and specific heat.The magnetization displays the remarkable thermal-induced changes as the external field is sufficiently close to critical value where two or more than two different ground states coexist.At the critical field relevant to a coexistence of two different states,the total magnetization displays a monotonic decrease trend.The thermal dependence of zero-field specific heat displays relative complex variations for different second-neighbor interactions between nodal spins.At first,the specific heat presents only a single rounded Schottky-type maximum.Using the second-neighbor interaction,another sharp peak arises at low-temperature and is superimposed on this round maximum,and the specific heat exhibits a double-peak structure. On further strengthening,the low-temperature one keeps its height shifting towards high temperature,while the hightemperature round peak suffers great enhancement and moves in an opposite direction.Finally,the low temperature peak entirely merges with the Schottky-type peak at a certain value of second-neighbor interaction,and above this value, the specific curve recovers its single peak structure.The observed double-peak specific heat curves mainly originate from thermal excitations between the ground-state spin configuration QAF and the ones close enough in energy to the ground state.
      通信作者: 齐岩, qiyan@dlnu.edu.cn;duan@mail.neu.edu.cn ; 杜安, qiyan@dlnu.edu.cn;duan@mail.neu.edu.cn
    • 基金项目: 国家自然科学基金(批准号:11547236)、辽宁省教育厅一般项目(批准号:L2015130)、大连民族大学大学生创新创业训练计划项目(批准号:201712026371)和中央高校基本科研业务费(批准号:DC201501065,DCPY2016014)资助的课题.
      Corresponding author: Qi Yan, qiyan@dlnu.edu.cn;duan@mail.neu.edu.cn ; Du An, qiyan@dlnu.edu.cn;duan@mail.neu.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11547236), the General Project of the Education Department of Liaoning Province, China (Grant No. L2015130), and the Training Programs of Innovation and Entrepreneurship for Undergraduates of Dalian Minzu University, China (Grant No. 201712026371), and the Fundamental Research Funds for the Central Universities, China (Grant Nos. DC201501065, DCPY2016014).
    [1]

    Kikuchi H, Fujii Y, Chiba M, Mitsudo S, Idehara T, Kuwai T 2004 J. Magn. Magn. Mater. 272 900

    [2]

    Rule K C, Wolter A U B, Sllow S, Tennant D A, Brhl A, Khler S, Wolf B, Lang M, Schreuer J 2008 Phys. Rev. Lett. 100 117202

    [3]

    Jeschke H, Opahle I, Kandpal H, Valent R, Das H, Dasgupta T S, Janson O, Rosner H, Brhl A, Wolf B, Lang M, Richter J, Hu S, Wang X, Peters R, Pruschke T, Honecker A 2011 Phys. Rev. Lett. 106 217201

    [4]

    Takano K, Kubo K, Sakamoto H 1996 J. Phys.: Condens. Matter 8 6405

    [5]

    Okamoto K, Tonegawa T, Kaburagi M 2003 J. Phys.: Condens. Matter 15 5979

    [6]

    Kikuchi H, Fujii Y, Chiba M, Mitsudo S, Idehara T, Tonegawa T, Okamoto K, Sakai T, Kuwai T, Ohta H 2005 Phys. Rev. Lett. 94 227201

    [7]

    Ivanov N B, Richter J, Schulenburg J 2009 Phys. Rev. B 79 104412

    [8]

    Aimo F, Krmer S, Klanjek M, Horvatić M, Berthier C 2011 Phys. Rev. B 84 012401

    [9]

    Takano K, Suzuki H, Hida K 2009 Phys. Rev. B 80 104410

    [10]

    Gu B, Su G 2007 Phys. Rev. B 75 17443

    [11]

    Verkholyak T, Strečka J 2013 Phys. Rev. B 88 134419

    [12]

    Pereira M S S, de Moura F A B F, Lyra M L 2008 Phys. Rev. B 77 024402

    [13]

    Rojas O, de Souza S M, Ohanyan V, Khurshudyan M 2011 Phys. Rev. B 83 094430

    [14]

    Pereira M S S, de Moura F A B F, Lyra M L 2009 Phys. Rev. B 79 054427

    [15]

    Strečka J, Jačur M 2003 J. Phys.:Condens. Matter 15 4519

    [16]

    Čanov L, Strečka J, Jačur M 2006 J. Phys.:Condens. Matter 18 4967

    [17]

    Valverde J S, Rojas O, de Souza S M 2008 J. Phys.:Condens. Matter 20 345208

    [18]

    Torrico J, Rojas M, Pereira M S S, Strečka J, Lyra M L 2016 Phys. Rev. B 93 014428

    [19]

    Ohanyan V, Honecker A 2012 Phys. Rev. B 86 054412

    [20]

    Hovhannisyan V V, Ananikian N S, Kenna R 2016 Physica A 453 116

    [21]

    Hovhannisyan V V, Strečka J, Ananikian N S 2016 J. Phys.:Condens. Matter 28 085401

    [22]

    Visinescu D, Madalan A M, Andruh M, Duhayon C, Sutter J P, Ungur L, van den Heuvel W, Chibotaru L F 2009 Chem. Eur. J 15 11808

    [23]

    van den Heuvel W, Chibotaru L F 2010 Phys. Rev. B 82 174436

  • [1]

    Kikuchi H, Fujii Y, Chiba M, Mitsudo S, Idehara T, Kuwai T 2004 J. Magn. Magn. Mater. 272 900

    [2]

    Rule K C, Wolter A U B, Sllow S, Tennant D A, Brhl A, Khler S, Wolf B, Lang M, Schreuer J 2008 Phys. Rev. Lett. 100 117202

    [3]

    Jeschke H, Opahle I, Kandpal H, Valent R, Das H, Dasgupta T S, Janson O, Rosner H, Brhl A, Wolf B, Lang M, Richter J, Hu S, Wang X, Peters R, Pruschke T, Honecker A 2011 Phys. Rev. Lett. 106 217201

    [4]

    Takano K, Kubo K, Sakamoto H 1996 J. Phys.: Condens. Matter 8 6405

    [5]

    Okamoto K, Tonegawa T, Kaburagi M 2003 J. Phys.: Condens. Matter 15 5979

    [6]

    Kikuchi H, Fujii Y, Chiba M, Mitsudo S, Idehara T, Tonegawa T, Okamoto K, Sakai T, Kuwai T, Ohta H 2005 Phys. Rev. Lett. 94 227201

    [7]

    Ivanov N B, Richter J, Schulenburg J 2009 Phys. Rev. B 79 104412

    [8]

    Aimo F, Krmer S, Klanjek M, Horvatić M, Berthier C 2011 Phys. Rev. B 84 012401

    [9]

    Takano K, Suzuki H, Hida K 2009 Phys. Rev. B 80 104410

    [10]

    Gu B, Su G 2007 Phys. Rev. B 75 17443

    [11]

    Verkholyak T, Strečka J 2013 Phys. Rev. B 88 134419

    [12]

    Pereira M S S, de Moura F A B F, Lyra M L 2008 Phys. Rev. B 77 024402

    [13]

    Rojas O, de Souza S M, Ohanyan V, Khurshudyan M 2011 Phys. Rev. B 83 094430

    [14]

    Pereira M S S, de Moura F A B F, Lyra M L 2009 Phys. Rev. B 79 054427

    [15]

    Strečka J, Jačur M 2003 J. Phys.:Condens. Matter 15 4519

    [16]

    Čanov L, Strečka J, Jačur M 2006 J. Phys.:Condens. Matter 18 4967

    [17]

    Valverde J S, Rojas O, de Souza S M 2008 J. Phys.:Condens. Matter 20 345208

    [18]

    Torrico J, Rojas M, Pereira M S S, Strečka J, Lyra M L 2016 Phys. Rev. B 93 014428

    [19]

    Ohanyan V, Honecker A 2012 Phys. Rev. B 86 054412

    [20]

    Hovhannisyan V V, Ananikian N S, Kenna R 2016 Physica A 453 116

    [21]

    Hovhannisyan V V, Strečka J, Ananikian N S 2016 J. Phys.:Condens. Matter 28 085401

    [22]

    Visinescu D, Madalan A M, Andruh M, Duhayon C, Sutter J P, Ungur L, van den Heuvel W, Chibotaru L F 2009 Chem. Eur. J 15 11808

    [23]

    van den Heuvel W, Chibotaru L F 2010 Phys. Rev. B 82 174436

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出版历程
  • 收稿日期:  2017-05-14
  • 修回日期:  2017-07-04
  • 刊出日期:  2017-10-05

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