Expectation value of the edge Majorana fermion in an interacting fermion chain

The expectation value of the edge Majorana operator is calculated for the one-dimensional model of spinless fermions with nearest-neighbor interactions and with open boundary conditions. The consideration is performed for the regime of the topological insulator (gapped bulk excitations and edge modes inside the gap), and for the normal metal regime (gapless bulk excitations). We show that the expectation value of the edge Majorana operator can be formed by two contributions, from the bulk states, and from the localized edge modes.

Automated summary

The expectation value of the edge Majorana operator in a one-dimensional model of spinless fermions with nearest-neighbor interactions and open boundary conditions was calculated. It was found that this expectation value is formed by contributions from bulk states and localized edge modes.