Please wait a minute...
Chin. Phys. B, 2011, Vol. 20(9): 097502    DOI: 10.1088/1674-1056/20/9/097502
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev   Next  

Ferrimagnetism induced by asymmetrical ferromagnetic next-nearest-neighbour exchange interactions in an antiferromagnetic spin-1/2 zigzag chain

Wang Zhong-Long(王忠龙)a) and Fu Hua-Hua(傅华华)b)
a Science College, China Three Gorges University, Yichang 443002, China; b School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract  The magnetic properties of an antiferromagnetic bond alternating spin-1/2 zigzag chain with asymmetrical ferromagnetic next-nearest-neighbour exchange interactions at finite temperature are investigated by using the many-body Green's function theory. It is found that the ferrimagnetic ordering does not appear in the symmetrical next-nearest-neighbour coupling case, and takes place only for the asymmetrical next-nearest-neighbour case at finite temperature rather than the ground state. Furthermore, as the asymmetry degree of the next-nearest-neighbour exchange interactions increases, the ferrimagnetism becomes more and more dominant. It is shown that the elementary excitation spectra are responsible for the observed magnetic behaviour.
Keywords:  ferrimagnetism      Green's function theory      zigzag spin chain  
Received:  25 March 2011      Revised:  21 May 2011      Accepted manuscript online: 
PACS:  75.50.Gg (Ferrimagnetics)  
  75.30.Et (Exchange and superexchange interactions)  
  75.10.Pq (Spin chain models)  

Cite this article: 

Wang Zhong-Long(王忠龙) and Fu Hua-Hua(傅华华) Ferrimagnetism induced by asymmetrical ferromagnetic next-nearest-neighbour exchange interactions in an antiferromagnetic spin-1/2 zigzag chain 2011 Chin. Phys. B 20 097502

[1] Takahashi M, Turek P, Nakazawa Y, Tamura M, Nozawa K, Shiomi D, Ishikawa M and Kinoshita M 1991 Phys. Rev. Lett. 67 746
[2] Yamamoto S, Brehmer S and Mikeska H J 1998 Phys. Rev. B 57 13610
[3] Xu F, Bai Y, Ai F and Qiao L J 2008 Chin. Phys. B 17 4652
[4] Fan J, Dong X W, Song Y, Wang K F, Liu J M and Jiang X P 2011 Chin. Phys. B 20 027502
[5] Luo L J, Zong C G, Quan H R, Tan Z Z, Jiang Q and Jiang X F 2010 Acta Phys. Sin. 59 8037 (in Chinese)
[6] Hase M, Kuroe H, Ozawa K, Suzuki O, Kitazawa H, Kido G and Sekine T 2004 Phys. Rev. B 70 104426
[7] Ivanov N B, Richter J and Schollwöck U 1998 Phys. Rev. B 58 14456
[8] Affleck I, Gepner D, Schultz H J and Ziman T 1989 J. Phys. A 22 511
[9] Castilla G, Chakravarty S and Emery V J 1995 Phys. Rev. Lett. 75 1823
[10] Haldane F D M 1983 Phys. Rev. Lett. 50 1153
[11] Cross M C and Fisher D S 1979 Phys. Rev. B 19 402
[12] Majumdar C K and Ghosh D K 1969 J. Math. Phys. 10 1388
[13] Bouzerar G, Kampf A P and Japaridze G I 1998 Phys. Rev. B 58 3117
[14] Motoyama N, Eisaki H and Uchida S 1996 Phys. Rev. Lett. 76 3212
[15] Maeshima N, Hagiwara M, Narumi Y, Kindo K, Kobayashi T C and Okunishi K 2003 J. Phys.: Condens. Matter 15 3607
[16] Mizuno Y, Tohyama T, Maekawa S, Osafune T, Motoyama N, Eisaki H and Uchida S 1998 Phys. Rev. B 57 5326
[17] Capogna L, Mayr M, Horsch P, Raichle M, Kremer R K, Sofin M, Maljuk A, Jansen M and Keimer B 2005 Phys. Rev. B 71 140402
[18] Hase M, Kuroe H, Ozawa K, Suzuki O, Kitazawa H, Kido G and Sekine T 2004 Phys. Rev. B 70 104426
[19] Singh Y, McCallum R W and Johnston D C 2007 Phys. Rev. B 76 174402
[20] Fu H H, Yao K L and Liu Z L 2008 J. Chem. Phys. 129 134706
[21] Tyablikov S V 1967 Methods in the Quantum Theory of Magnetism (New York: Plenum)
[22] Wang H Y, Jen S U and Yu J Z 2006 Phys. Rev. B 73 094414
[23] Härtel M, Richter J, Ihle D and Drechsler S L 2008 Phys. Rev. B 78 174412
[24] Antsygina T N, Poltavskaya M I, Poltavsky I I and Chishko K A 2008 Phys. Rev. B 77 024407
[25] Bogolyubov N N and Tyablikov S V 1959 Sov. Phys. Dokl. 4 589
[26] Fröbrich P and Kuntz P J 2006 Phys. Rep. 432 223
[27] Lu H T, Wang Y J, Qin S J and Xiang T 2006 Phys. Rev. B 74 134425
[28] Ding L J, Yao K L and Fu H H 2010 Chem. Phys. Chem. 11 3291
[1] Magnetizations and magneto-transport properties of Ni-doped PrFeO3 thin films
Feroz A. Mir, S. K. Sharma, Ravi Kumar. Chin. Phys. B, 2014, 23(4): 048101.
[2] Ferrimagnetism and metal–insulator transition in an organic polymer chain
Ding Lin-Jie (丁林杰), Zhong Yuan (钟园), Fan Shuai-Wei (樊帅伟). Chin. Phys. B, 2014, 23(2): 027502.
No Suggested Reading articles found!