Bulletin of the American Physical Society
APS March Meeting 2019
Volume 64, Number 2
Monday–Friday, March 4–8, 2019; Boston, Massachusetts
Session A05: Topological Superconductivity: Majorana
8:00 AM–11:00 AM,
Monday, March 4, 2019
BCEC
Room: 108
Sponsoring
Unit:
DMP
Chair: Zhiqiang Mao
Abstract: A05.00011 : Non-hermitian topology: a unifying framework for the Andreev versus Majorana states controversy
10:24 AM–10:36 AM
Presenter:
Ramon Aguado
(Materials Science Institute of Madrid (ICMM), Spanish Research Council (CSIC))
Authors:
Ramon Aguado
(Materials Science Institute of Madrid (ICMM), Spanish Research Council (CSIC))
Pablo San-Jose
(Materials Science Institute of Madrid (ICMM), Spanish Research Council (CSIC))
Elsa Prada
(Condensed Matter Physics Center (IFIMAC), Universidad Autonoma de Madrid (UAM))
Fernando Peñaranda
(Condensed Matter Physics Center (IFIMAC), Universidad Autonoma de Madrid (UAM))
Jesus Avila
(Materials Science Institute of Madrid (ICMM), Spanish Research Council (CSIC))
We show that this ongoing ABS versus MZM controversy is fully clarified when framed in the language of non-Hermitian topology, the natural description for open quantum systems. This change of paradigm allows us to understand topological transitions and the emergence of pairs of zero modes more broadly, in terms of exceptional point (EP) bifurcations of system eigenvalue pairs in the complex plane. Within this framework, we show that some zero energy ABSs are actually non-trivial, and share all the properties of conventional MZMs, such as the recently observed 2e2/h conductance quantization. From this point of view, any distinction between such ABS zero modes and conventional MZMs becomes artificial. The key feature that underlies their common non-trivial properties is an asymmetric coupling of Majorana components to the reservoir, which triggers the EP bifurcation [1].
[1] J. Avila, F. Peñaranda, E. Prada, P. San-Jose and R. Aguado, arXiv:1807.04677
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