Spin-1 Tek Boyutlu Ising Sisteminin Manyetik Özellikleri

Abstract

Bu çalışmada, etkin alan teorisinde Kaneyoshi yaklaşımı kullanarak tek boyutlu Ising sisteminin (S1-1DIS) spin-1’in sıcaklık ve dış manyetik alana bağlı mıknatıslanma ve kuadrapol momenti araştırıldı. S1-1DIS'in kristal alanına göre birinci veya ikinci dereceden bir faz geçişine sahip olduğu; S1-1DIS'in mıknatıslanmasının D = 0 için ikinci dereceden bir faz geçişine sahip olduğu; ancak kuadrupolar momentin T_c'de faz geçişine sahip olmadığı belirlendi. S1-1DIS’ in mıknatıslanması, T_f’ de D = -2.6 için birinci dereceden bir faz geçişine sahiptir, ancak kuadrupolar moment T_f ve T>T_f’ de artarken faz geçişine sahiptir; paramanyetik manyetik alınganlık, T> T_c'de monotonik olarak azalır, oysa T> T_f’ de geniş bir maksimuma sahiptir. T>T_c ve T_f’deki MT = 0.0 nedeniyle, paramanyetik bölgedeki alınganlık davranışlarının kuadrupolar momentten kaynaklandığı sonucuna varılabilir. Diğer taraftan, MT’ nin histerezis eğrilerinin eğimi, sıcaklık arttıkça azalır ve yüksek sıcaklıkta sıfır olur. S1-1DIS’in birinci dereceden faz geçişinin teorik sonucu, ilk olarak Kittel tarafından bildirilen KH2PO4’ün (KPD) bir boyutlu sisteminin T≠0 da birinci dereceden bir faz geçişine uğradığı sonucunun teyididir.

Keywords

• Tek boyutlu Ising sistem,Mıknatıslanma,Etkin alan teorisi,Faz geçişi

Magnetic Properties of Spin-1 One-Dimensional Ising System

Abstract

In this work, we investigated the temperature and applied field dependence of the magnetization and quadrupolar moment of the spin-1 one-dimensional Ising system (S1-1DIS) by using Kaneyoshi approach throughout the Effective Field Theory (EFT). We determined that the S1-1DIS has a first or second order phase transition according to the crystal field, the magnetization of the S1-1DIS has a second-order phase transition for D=0 whereas the quadrupolar moment has no phase transition at T_c. The magnetization of the S1-1DIS has a first-order phase transition for D=-2.6 at T_f but the quadrupolar moment has phase transition at T_f and it increases at T>T_f, paramagnetic magnetic susceptibility decreases monotonically at T>T_c whereas it has a broad maximum at T>T_f. Because of the M_T=0.0 at T>T_c and T_f, it can be concluded that susceptibility behaviors in the paramagnetic region result from the quadrupolar moment. On the other hand, the slope of the hysteresis curves of the M_T decreases as the temperature increases and they become zero at high temperature. The theoretical first-order phase transition result of the S1-1DIS is the confirmation of the result of KH2PO4 (KPD) firstly reported by Kittel that one-dimensional system of the KPD undergoes a first-order phase transition at T≠0.

Keywords

• One-dimensional Ising system,Magnetization,Effective field theory,Phase transition

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