Fizika Nizkikh Temperatur: Volume 47, Number 5 (May 2021), p. 435-439    ( to contents , go back )

Majorana zero modes in the interacting fermion chain without pairing

A. A. Zvyagin

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of UkraineKharkiv 61103, Ukraine

V. N. Karazin Kharkiv National University, Kharkiv 61022, Ukraine
E-mail: zvyagin@ilt.kharkov.ua
pos Анотація:615

Received January 14, 2021 , published online March 26, 2021

Abstract

The ground state behavior of the spinless fermion chain with an interaction between fermions at neighboring sites is studied for free open boundaries. For the strong enough repulsion boundary gapless states (bound state of Majorana operators from opposite sites of the chain) can exist inside the gap for bulk excitations, i.e.,in the topological insulator regime. We propose to use those Majorana zero modes as topological qubits, similar to the ones in one-dimensional topological superconductors. Possible physical realizations of the considered model are discussed.

Key words: Majorana edge states, topological insulator, topological quantum computer.

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