Bulletin of the American Physical Society
APS March Meeting 2019
Volume 64, Number 2
Monday–Friday, March 4–8, 2019; Boston, Massachusetts
Session X08: Superconductivity: Odd-Frequency, Non-Centrosymmetric and Other Exotic States
8:00 AM–10:48 AM,
Friday, March 8, 2019
BCEC Room: 150
Sponsoring Unit: DCMP
Chair: Stuart Brown, Univ of California - Los Angeles
Abstract: X08.00014 : Suppression of odd-frequency superconducting pairing by phase-disorder in a nanowire coupled to Majorana zero modes
10:36 AM–10:48 AM
Annica M Black-Schaffer
Considering the physically more realistic case of complex coupling strengths that generically appear for varying system parameters, we demonstrate that all superconducting correlations, including odd-frequency, suffer a considerable suppression due to phase-disorder averaging. In the first part we, evaluate the $T$-matrix within the second Born approximation, and demonstrate exponential suppression of the electron-hole pairing with phase-disorder strength. In the second part, we perform numerical calculations on a tight-binding lattice model and study the effects of phase-disorder averaging on the local density of states and superconducting correlations.
We attribute the suppression of superconducting correlations in the wire to the filling of the energy gap by in-gap Andreev Bound States appearing due to phase-matching conditions between spatially-separated MZMs. Our work helps clarify the conditions favorable for practical realization of the proposed odd-frequency superconducting system.
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