Exact Solution for the Interacting Kitaev Chain at Symmetric Point
2017.09.11 11:27
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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)
