Üçgen Optik Örgüde Kuantum Spin Hall Etkisi için Sıkı-Bağ Modeli

Year 2019, Volume: 3 Issue: 1, 23 - 33, 30.07.2019

Ahad K. Ardabılı , Tekin Dereli , Özgür E. Müstecaplıoğlu

Abstract

Öz

Bu makelede, üçgen örgü üzerinde kuantum spin Hall sistemi için bir sıkı-bağ modeli önermekte ve Z2

topolojik yalıtkanının ayırt edici özelliği olan boşluk geçiş durumlarını da içeren kenar durum spektrumunu

incelemekteyiz. Bu sistemin avantajı, serbest elektron sınırı B. Beri ve N. R. Cooper tarafından verilen (Phys.

Rev. Lett. 107, 145301, 2011) fermiyonik aşırı soğuk atomik sistemlerde de incelenme imkanının olmasıdır.

Keywords

Aşırı soğuk atomik sistemler, Topolojik yalıtkan, Bir sıkı-bağ modeli, Kuantum mekaniği, Optik örgü

A Tight Binding Model for Quantum Spin Hall Effect on Triangular Optical Lattice

Abstract

Abstract

We propose a tight binding model for the quantum spin Hall system on triangular optical lattice and we

determined the edge state spectrum which contains gap traversing states as the hallmark of topological

insulator. The advantage of this system is the possibility of implementing it in the fermionic ultracold atomic

system whose nearly free electron limit is proposed by B. Beri and N. R. Cooper, Phys. Rev. Lett. 107, 145301

(2011).

Keywords

Ultra cold atom, Topological insulator, Tight binding model, Quantum mechanics, Optical lattice

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