Spin-1 Tek Boyutlu Ising Sisteminin Manyetik Özellikleri

Year 2019, Volume: 14 Issue: 1, 127 - 135, 31.05.2019

Gökçen Dikici Yıldız

https://doi.org/10.29233/sdufeffd.556686

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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