Unveiling Majorana oscillations with temperature effects*

Distinguishing trivial and topological phases in Majorana wires is challenging due to, among

others, the ubiquitous presence of disorder-driven trivial states. In this work [1], we propose a

method of observing Majorana oscillations that trivial states are unable to mimic. To this end, we

calculate the transport and spectral properties of Majorana wires by using the scattering matrix

in the Bogoliubov-de Gennes formalism. We find that for experimentally accessible parameter

regimes and electron temperatures of the order of 50mK or higher, we are able to observe Majorana

oscillations in variations of local conductance when we change the coupling to one of the leads,

i.e. δGLL = GLL(ΓR = ΓL) − GLL(ΓR << ΓL), where ΓL,R represent the couplings to the leads.

Importantly, these oscillations are only observed in the topological phase, as opposed to oscillations

in GLL, which can be mimicked, for instance, by quasi-Majoranas. We investigate the origin of such

correlation between left and right sides in terms of the wavefunction profiles of the Majorana modes

and the hybridization between them. Our proposal provides a method of distinguishing topological

and trivial subgap states and may provide guidance for future experiments in the field.

[1] R.A. Dourado, P.H. Penteado and J.C. Egues, “Nonlocality of local Andreev conductances as a probe for

topological Majorana wires”, arXiv:2303.01867 (2023).