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Exact Solution for the Interacting Kitaev Chain at Symmetric Point

2017.09.11 11:27

관리자 조회 수:2431

날짜 2017-09-12 16:00 
일시 Sep. 12 (Tue.), 4 PM 
장소 #1323 (E6-2. 1st fl.) 
연사 Prof. Yi. Zhou (The Zhejiang Univ.) 

Prof. Yi. Zhou (The Zhejiang Univ.)

 

Sep. 12 (Tue.), 4 PM

#1323 (E6-2. 1st fl.)

 

 

As a prototype of one-dimensional (1D) systems possessing Majorana zero modes at edges, Kitaev chain model has attracted a lot of attention since it was proposed. The pristine Kitaev chain is a non-interacting model and can be generalized to an interacting model. I shall talk about the exact solution to the (symmetric) interacting model, in the sense that all the eigenvalues and corresponding eigenstates are given. The solutions include topologically non-trivial phase at |U|<t and topologically trivial phase at |U|>t. The two phases are related by dualities. Quantum phase transitions in the model are studied with the help of the exact solution. Experimental consequences will be discussed too.

 

 

Contact: Eun Gook Moon, Physics Dept., (egmoon@kaist.ac.kr)

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