Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Assessing Bound States in a One-Dimensional Topological Superconductor: Majorana versus Tamm

Version 1 : Received: 10 May 2021 / Approved: 11 May 2021 / Online: 11 May 2021 (08:58:32 CEST)

A peer-reviewed article of this Preprint also exists.

Vigliotti, L.; Cavaliere, F.; Carrega, M.; Ziani, N.T. Assessing Bound States in a One-Dimensional Topological Superconductor: Majorana versus Tamm. Symmetry 2021, 13, 1100. Vigliotti, L.; Cavaliere, F.; Carrega, M.; Ziani, N.T. Assessing Bound States in a One-Dimensional Topological Superconductor: Majorana versus Tamm. Symmetry 2021, 13, 1100.

Abstract

Majorana bound states in topological superconductors have attracted intense research activity in view of applications in topological quantum computation. However, they are not the only example of topological bound states that can occur in such systems. We here study a model in which both Majorana and Tamm bound states compete. We show both numerically and analytically that, surprisingly, the Tamm state remains partially localized even when the spectrum becomes gapless. Despite this fact, we demonstrate that the Majorana polarization shows a clear transition between the two regimes.

Keywords

Majorana fermions; Topological superconductors; Majorana polarization

Subject

Physical Sciences, Acoustics

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