Abstract
The elementary excitation spectra of a one-dimensional ferrimagnetic diamond chain in the spin-1/2 XY model at low temperatures have been calculated by using an invariant eigen-operator (IEO) method, the energies of elementary excitations in different specific cases are discussed, and the analytic solutions of three critical magnetic field intensities (H C1, H C2, and H peak) are given. The magnetization versus external magnetic field curve displays a 1/3 magnetization plateau at low temperatures, in which H C1 is the critical magnetic field intensity from the disappearance of the 1/3 magnetization plateau to spin-flop states, H C2 is the critical magnetic field intensity from spin-flop states to the saturation magnetization, and H peak is the critical magnetic field intensity when the temperature magnetization shows a peak in the external magnetic field. The temperature dependences of the magnetic susceptibility and the specific heat show a double peak structure. The entropy and the magnetic susceptibility versus external magnetic field curves also exhibit a double peak structure, and the positions of the two peaks correspond to H C1 and H C2, respectively. This derives from the competition among different types of energies: the temperature-dependent thermal disorder energy, the potential energy of the spin magnetic moment, the ferromagnetic exchange interaction energy, and the anti-ferromagnetic exchange interaction energy. However at low temperatures, the specific heat as a function of external magnetic field curve exhibits minima at the above two critical points (H C1 and H C2). The origins of the above phenomena are discussed in detail.
Similar content being viewed by others
References
D. Shiomi, M. Nishizawa, K. Sato, T. Takui, K. Itoh, H. Sakurai, A. Izuoka and T. Sugawara, J. Phys. Chem. B 101, 3342 (1997).
K. Maekawa, D. Shiomi, T. Ise, K. Sato and T. Takui, J. Phys. Chem. B 109, 9299 (2005).
U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005).
B. Gu and G. Su, Phys. Rev. B 75, 174437 (2007).
F. D. M. Haldane, Phys. Rev. Lett. 50, 1153 (1983).
K. Maisinger, U. Schollwöck, S. Brehmer, H. J. Mikeska and Shoji Yamamoto, Phys. Rev. B 58, R5908 (1998).
C. D. Batista and G. Ortiz, Phys. Rev. Lett. 86, 1082 (2001).
H.-Y. Fan and C. Li, Phys. Lett. A 321, 75 (2004).
H.-Y. Fan and H. Wu, Mod. Phys. Lett. B 19, 1361 (2005).
K. P. Schmidt and G. S. Uhrig, Phys. Rev. Lett. 90, 227204 (2003).
O. Derzhko, J. Richter, T. Krokhmalskii and O. Zaburannyi, Phys. Rev. E 69, 066112 (2004).
L. C. Venuti and M. Roncaglia, Phys. Rev. A 81, 060101 (2010).
W. A. Schwalm, M. K. Schwalm and M. Giona, Phys. Rev. E 55, 6741 (1997).
S.-Q. Bao, H. Zhao, J.-L. Shen and G.-Z. Yang, Phys. Rev. B 53, 735 (1996).
G. Gildenblat, Phys. Rev. B 32, 3006 (1985).
A. Cavallo, F. Cosenza and L. De Cesare, Phys. Rev. B 66, 174439 (2002).
A. Cavallo, F. Cosenza and L. De Cesare, Phys. Rev. Lett. 87, 240602 (2001).
Y. Wang and Z. Zhang, Solid State Commun. 124, 215 (2002).
I. S. Jacobs, J. Appl. Phys. 32, 61S (1961).
Z. He and Y. Ueda, Phys. Rev. B 77, 052402 (2008).
X. Wang, X. Zotos, J. Karadamoglou and N. Papanicolaou, Phys. Rev. B 61, 14303 (2000).
J. Karadamoglou and N. Papanicolaou, Phys. Rev. B 60, 9477 (1999).
T. Sakai, Phys. Rev. B 60, 6238 (1999).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cheng, TM., Ma, YM., Ge, CY. et al. Magnetism and thermodynamic properties of a spin-1/2 ferrimagnetic diamond XY chain in magnetic fields at finite temperatures. Journal of the Korean Physical Society 62, 104–115 (2013). https://doi.org/10.3938/jkps.62.104
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3938/jkps.62.104