Localized Majorana-like modes in a number conserving setting: An exactly solvable model
Abstract
In this letter we present, in a number conserving framework, a model of interacting fermions in a two-wire geometry supporting non-local zero-energy Majorana-like edge excitations. The model has an exactly solvable line, on varying the density of fermions, described by a topologically non-trivial ground state wave-function. Away from the exactly solvable line we study the system by means of the numerical density matrix renormalization group. We characterize its topological properties through the explicit calculation of a degenerate entanglement spectrum and of the braiding operators which are exponentially localized at the edges. Furthermore, we establish the presence of a gap in its single particle spectrum while the Hamiltonian is gapless, and compute the correlations between the edge modes as well as the superfluid correlations. The topological phase covers a sizeable portion of the phase diagram, the solvable line being one of its boundaries.
Cite
@article{arxiv.1504.04230,
title = {Localized Majorana-like modes in a number conserving setting: An exactly solvable model},
author = {Fernando Iemini and Leonardo Mazza and Davide Rossini and Rosario Fazio and Sebastian Diehl},
journal= {arXiv preprint arXiv:1504.04230},
year = {2015}
}
Comments
Improved version, in particular for the braiding and superfluid discussions. 5 pages, 4 figures, supplemental material (7 pages)