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Tai-Min Cheng,Yan-Ming Ma,Chong-Yuan Ge,Shu-Sheng Sun,Wei-Ye Jia,Qing-Yun Li,Xiao-Fei Shi,Lin Li,Lin Zhu 한국물리학회 2013 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.62 No.1
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 (<i>H</i><sub>C1</sub>, <i>H</i><sub>C2</sub>, and <i>H</i><sub>peak</sub>) are given. The magnetization versus external magnetic field curve displays a 1/3 magnetization plateau at low temperatures, in which <i>H</i><sub>C1</sub> is the critical magnetic field intensity from the disappearance of the 1/3 magnetization plateau to spin-flop states, <i>H</i><sub>C2</sub> is the critical magnetic field intensity from spin-flop states to the saturation magnetization, and Hpeak 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 <i>H</i><sub>C1</sub> and <i>H</i><sub>C2</sub>, 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 (<i>H</i><sub>C1</sub> and <i>H</i><sub>C2<sub>). The origins of the above phenomena are discussed in detail.