Magnetization and magnetic phase diagrams of a spin-1/2 ferrimagnetic diamond chain at low temperature

doi:10.1088/1674-1056/abd768

中国物理B ›› 2021, Vol. 30 ›› Issue (5): 57503-057503.doi: 10.1088/1674-1056/abd768

Magnetization and magnetic phase diagrams of a spin-1/2 ferrimagnetic diamond chain at low temperature

Tai-Min Cheng(成泰民)^1,2,†, Mei-Lin Li(李美霖)^1,2, Zhi-Rui Cheng(成智睿)³, Guo-Liang Yu(禹国梁)¹, Shu-Sheng Sun(孙树生)¹, Chong-Yuan Ge(葛崇员)¹, and Xin-Xin Zhang(张新欣)¹

1 Department of Physics, College of Sciences, Shenyang University of Chemical Technology, Shenyang 110142, China;
2 School of Materials Science and Engineering, Shenyang University of Chemical Technology, Shenyang 110142, China;
3 School of Software Engineering, Shenyang University of Technology, Shenyang 110870, China

收稿日期:2020-11-04 修回日期:2020-12-21 接受日期:2020-12-30 出版日期:2021-05-14 发布日期:2021-05-14
通讯作者: Tai-Min Cheng E-mail:ctm701212@126.com,chengtaimin@syuct.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11374215 and 11704262), the Scientific Study Project from Education Department of Liaoning Province of China (Grant No. LJ2019004), and the Natural Science Foundation Guidance Project of Liaoning Province of China (Grant No. 2019-ZD-0070).

Magnetization and magnetic phase diagrams of a spin-1/2 ferrimagnetic diamond chain at low temperature

1 Department of Physics, College of Sciences, Shenyang University of Chemical Technology, Shenyang 110142, China;
2 School of Materials Science and Engineering, Shenyang University of Chemical Technology, Shenyang 110142, China;
3 School of Software Engineering, Shenyang University of Technology, Shenyang 110870, China

Received:2020-11-04 Revised:2020-12-21 Accepted:2020-12-30 Online:2021-05-14 Published:2021-05-14
Contact: Tai-Min Cheng E-mail:ctm701212@126.com,chengtaimin@syuct.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11374215 and 11704262), the Scientific Study Project from Education Department of Liaoning Province of China (Grant No. LJ2019004), and the Natural Science Foundation Guidance Project of Liaoning Province of China (Grant No. 2019-ZD-0070).

摘要/Abstract

摘要： We used the Jordan-Wigner transform and the invariant eigenoperator method to study the magnetic phase diagram and the magnetization curve of the spin-1/2 alternating ferrimagnetic diamond chain in an external magnetic field at finite temperature. The magnetization versus external magnetic field curve exhibits a 1/3 magnetization plateau at absolute zero and finite temperatures, and the width of the 1/3 magnetization plateau was modulated by tuning the temperature and the exchange interactions. Three critical magnetic field intensities $H_{\rm CB}$, $H_{\rm CE}$ and $H_{\rm CS}$ were obtained, in which the $H_{\rm CB}$ and $H_{\rm CE}$ correspond to the appearance and disappearance of the 1/3 magnetization plateau, respectively, and the higher $H_{\rm CS}$ correspond to the appearance of fully polarized magnetization plateau of the system. The energies of elementary excitation ${\hslash \omega }_{\sigma,k}\,\,{(\sigma =1, 2, 3)}$ present the extrema of zero at the three critical magnetic fields at 0 K, i.e., $\left[ {{\hslash }\omega }_{{3,}k}\left(H_{\rm {CB}} \right) \right]_{{\min}}{=0}$, $\left[ \hslash \omega _{{2,}k}\left(H_{\rm{CE}} \right) \right]_{{\max}}{=0}$ and $\left[ {{\hslash }\omega }_{{2,k}}\left(H_{\rm{CS}} \right) \right]_{{\min}}{=0}$, and the magnetic phase diagram of magnetic field versus different exchange interactions at 0 K was established by the above relationships. According to the relationships between the system's magnetization curve at finite temperatures and the critical magnetic field intensities, the magnetic field-temperature phase diagram was drawn. It was observed that if the magnetic phase diagram shows a three-phase critical point, which is intersected by the ferrimagnetic phase, the ferrimagnetic plateau phase, and the Luttinger liquid phase, the disappearance of the 1/3 magnetization plateau would inevitably occur. However, the 1/3 magnetization plateau would not disappear without the three-phase critical point. The appearance of the 1/3 magnetization plateau in the low temperature region is the macroscopic manifestations of quantum effect.

关键词: invariant eigen-operator method, Jordan-Wigner transformations, critical magnetic field intensity, magnetic phase diagrams

Abstract: We used the Jordan-Wigner transform and the invariant eigenoperator method to study the magnetic phase diagram and the magnetization curve of the spin-1/2 alternating ferrimagnetic diamond chain in an external magnetic field at finite temperature. The magnetization versus external magnetic field curve exhibits a 1/3 magnetization plateau at absolute zero and finite temperatures, and the width of the 1/3 magnetization plateau was modulated by tuning the temperature and the exchange interactions. Three critical magnetic field intensities $H_{\rm CB}$, $H_{\rm CE}$ and $H_{\rm CS}$ were obtained, in which the $H_{\rm CB}$ and $H_{\rm CE}$ correspond to the appearance and disappearance of the 1/3 magnetization plateau, respectively, and the higher $H_{\rm CS}$ correspond to the appearance of fully polarized magnetization plateau of the system. The energies of elementary excitation ${\hslash \omega }_{\sigma,k}\,\,{(\sigma =1, 2, 3)}$ present the extrema of zero at the three critical magnetic fields at 0 K, i.e., $\left[ {{\hslash }\omega }_{{3,}k}\left(H_{\rm {CB}} \right) \right]_{{\min}}{=0}$, $\left[ \hslash \omega _{{2,}k}\left(H_{\rm{CE}} \right) \right]_{{\max}}{=0}$ and $\left[ {{\hslash }\omega }_{{2,k}}\left(H_{\rm{CS}} \right) \right]_{{\min}}{=0}$, and the magnetic phase diagram of magnetic field versus different exchange interactions at 0 K was established by the above relationships. According to the relationships between the system's magnetization curve at finite temperatures and the critical magnetic field intensities, the magnetic field-temperature phase diagram was drawn. It was observed that if the magnetic phase diagram shows a three-phase critical point, which is intersected by the ferrimagnetic phase, the ferrimagnetic plateau phase, and the Luttinger liquid phase, the disappearance of the 1/3 magnetization plateau would inevitably occur. However, the 1/3 magnetization plateau would not disappear without the three-phase critical point. The appearance of the 1/3 magnetization plateau in the low temperature region is the macroscopic manifestations of quantum effect.

Key words: invariant eigen-operator method, Jordan-Wigner transformations, critical magnetic field intensity, magnetic phase diagrams

中图分类号: (Ferrimagnetics)

75.50.Gg

68.65.-k (Low-dimensional, mesoscopic, nanoscale and other related systems: structure and nonelectronic properties) 75.30.Kz (Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))

Tai-Min Cheng(成泰民), Mei-Lin Li(李美霖), Zhi-Rui Cheng(成智睿), Guo-Liang Yu(禹国梁), Shu-Sheng Sun(孙树生), Chong-Yuan Ge(葛崇员), and Xin-Xin Zhang(张新欣). Magnetization and magnetic phase diagrams of a spin-1/2 ferrimagnetic diamond chain at low temperature[J]. 中国物理B, 2021, 30(5): 57503-057503.

参考文献

[1] Shiomi D, Nishizawa M, Sato K, Takui T, Itoh K, Sakurai H, Izuoka A and Sugawara T 1997 J. Phys. Chem. B 101 3342
[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
[3] Yamaguchi T, Drechsler S L, Ohta Y and Nishimoto S 2020 Phys. Rev. B 101 104407
[4] do Nascimento-Junior A M and Montenegro-Filho R R 2019 Phys. Rev. B 99 064404
[5] Rule K C, Wolter A U B, Süllow S, Tennant D A, Brühl A, Köhler S, Wolf B, Lang M and Schreuer J 2008 Phys. Rev. Lett. 100 117202
[6] Jeschke H, Opahle I, Kandpal H, Valentí R, Das H, Saha-Dasgupta T, Janson O, Rosner H, Brühl A, Wolf B, Lang M, Richter J, Hu S, Wang X, Peters R, Pruschke T and Honecker A 2011 Phys. Rev. Lett. 106 217201
[7] Maisinger K, Schollwöck U, Brehmer S, Mikeska H J and Yamamoto S 1998 Phys. Rev. B 58 R5908
[8] Wang X, Zotos X, Karadamoglou J and Papanicolaou N 2000 Phys. Rev. B 61 14303
[9] Schollwöck U 2005 Rev. Mod. Phys. 77 259
[10] Cheng T M, Ma Y M, Ge C Y, Sun S S, Jia W Y, Li Q Y, Shi X F, Li L and Zhu L 2013 J. Korean Phys. Soc. 62 104
[11] Fan H Y and Li C 2004 Phys. Lett. A 321 75
[12] Fan H Y and Wu H 2005 Mod. Phys. Lett. B 19 1361
[13] Batista C D and Ortiz G 2001 Phys. Rev. Lett. 86 1082
[14] Verkholyak T, Strěcka J, Jaščur M and Richter J 2011 Eur. Phys. J. B 80 433
[15] da Silva W M and Montenegro-Filho R R 2017 Phys. Rev. B 96 214419
[16] Zapf V, Jaime M and Batista C D 2014 Rev. Mod. Phys. 86 563
[17] Giamarchi T, Rüegg C and Tchernyshyov O 2008 Nat. Phys. 4 198
[18] Oshikawa M, Yamanaka M and Affleck I 1997 Phys. Rev. Lett. 78 1984
[19] Courant R and Hilbert D 1968 Methoden der Mathematischen Physik I, (Springer-Verlag Berlin·Heidelberg·New York) p. 36
[20] Wang Z X and Guo D R 2010 Introduction to special functions (first edition) (Beijing: Peking University Press) p. 480 (in Chinese)

Magnetization and magnetic phase diagrams of a spin-1/2 ferrimagnetic diamond chain at low temperature

Magnetization and magnetic phase diagrams of a spin-1/2 ferrimagnetic diamond chain at low temperature

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 2

Metrics

本文评价

推荐阅读 0

[1]	范洪义, 陈俊华, 袁洪春. Applying invariant eigen-operator method to deriving normal coordinates of general classical Hamiltonian[J]. 中国物理B, 2010, 19(9): 90312-090312.
[2]	孟祥国, 范洪义, 王继锁. Normal coordinate in harmonic crystal obtained by virtue of the classical correspondence of the invariant eigen-operator[J]. 中国物理B, 2010, 19(7): 70303-070303.