The Mean Energy and Specific Heat of the 1D Quantum Wires

Abstract

In this study, Rashba spin-orbital interaction of one dimensional quantum wire consisting of InAs semiconductor heterostructure and the mean energy and specific heat of electrons in the direction of the magnetic field directed perpendicular to the wire axis were investigated. The partition function of the system was calculated. The mean energy of the quantum wire system and its specific heat were plotted according to the temperature and the variation of the magnetic field according to the intensity was examined. Accordingly, the mean energy of the electrons of the quantum wire increases with increasing temperature and approaches a fixed value after a certain temperature. Increasing or decreasing the intensity of the magnetic field changes the constant value of the average energy relative to the temperature. The specific heat of the electrons in the quantum wire shows the maximum peak value at low temperature, then progressively advances towards zero. The specific heat of the electrons gives different maximum peaks at different values of the magnetic field according to the temperature.

Keywords

• Rashba SOI,1D quantum wire,Thermodynamic quantities

1D Kuantum Telin Ortalama Enerjisi ve Öz Isısı

Abstract

Bu çalışmada InAs yarıiletken heteroyapıdan oluşan bir boyutlu kuantum telin Rashba spin-orbital etkileşimi ve tel eksenine dik yönde yönelmiş manyetik alan etkisinde elektronların ortalama enerjisi ve öz ısısı teorik olarak araştırıldı. Sistemin dağılım fonksiyonu hesaplandı. Kuantum tel sistemin ortalama enerjisi, öz ısısı sıcaklığa göre grafiği oluşturuldu ve manyetik alanın şiddetine göre değişimi incelendi. Buna göre kuantum telin elektronlarının ortalama enerjisi, sıcaklık artmakta ve belli bir sıcaklıktan sonra sabit bir değere yaklaşmaktadır. Manyetik alanın şiddetinin artması veya azalması ortalama enerjinin sıcaklığa göre sabit değerini değiştirmektedir. Kuantum teldeki elektronların öz ısısı düşük sıcaklıkta maksimum değere ulaşmakta ve artan sıcaklıkla birlikte sıfıra gitmektedir. Elektronların öz ısısı sıcaklığa göre manyetik alanın farklı değerlerinde farklı maksimum tepe noktaları vermektedir.

Keywords

• Rashba spin-orbital etkileşimi,1D kuantum tel,Termodinamik nicelikler

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