Spin-1 Tek Boyutlu Ising Sisteminin Manyetik Özellikleri

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 Tc'de faz geçişine sahip olmadığı belirlendi. S1-1DIS’ in mıknatıslanması, Tf’ de D = -2.6 için birinci dereceden bir faz geçişine sahiptir, ancak kuadrupolar moment Tf ve T>Tf’ de artarken faz geçişine sahiptir; paramanyetik manyetik alınganlık, T> Tc'de monotonik olarak azalır, oysa T> Tf’ de geniş bir maksimuma sahiptir. T>Tc ve Tf’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.

Anahtar Kelimeler:

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

Magnetic Properties of Spin-1 One-Dimensional Ising System

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 Tc. The magnetization of the S1-1DIS has a first-order phase transition for D=-2.6 at Tf but the quadrupolar moment has phase transition at Tf and it increases at T>Tf, paramagnetic magnetic susceptibility decreases monotonically at T>Tc whereas it has a broad maximum at T>Tf. Because of the MT=0.0 at T>Tc and Tf, 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 MT 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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