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Robustness of Majorana edge modes and topological order: exact results for the symmetric interacting Kitaev chain with disorder

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Title: Robustness of Majorana edge modes and topological order: exact results for the symmetric interacting Kitaev chain with disorder
Authors: McGinley, M
Knolle, J
Nunnenkamp, A
Item Type: Journal Article
Abstract: We investigate the robustness of Majorana edge modes under disorder and interactions. We exploit a recently found mapping of the interacting Kitaev chain in the symmetric region (μ=0, t=Δ) to free fermions. Extending the exact solution to the disordered case allows us to calculate analytically the topological phase boundary for all interaction and disorder strengths, which has been thought to be only accessible numerically. We discover a regime in which moderate disorder in the interaction matrix elements enhances topological order well into the strongly interacting regime U>t. We also derive the explicit form of the many-body Majorana edge wave function, revealing how it is dressed by many-particle fluctuations from interactions. The qualitative features of our analytical results are valid beyond the fine-tuned integrable point, as expected from the robustness of topological order and as corroborated here by an exact diagonalization study of small systems.
Issue Date: 15-Dec-2017
Date of Acceptance: 8-Nov-2017
URI: http://hdl.handle.net/10044/1/61441
DOI: https://dx.doi.org/10.1103/PhysRevB.96.241113
ISSN: 2469-9950
Publisher: American Physical Society
Journal / Book Title: Physical Review B
Volume: 96
Issue: 24
Copyright Statement: © 2017 American Physical Society.
Keywords: Science & Technology
Physical Sciences
Physics, Condensed Matter
Physics
SUPERCONDUCTOR
FERMIONS
STATE
cond-mat.mes-hall
cond-mat.str-el
cond-mat.supr-con
Publication Status: Published
Article Number: 241113
Online Publication Date: 2017-12-27
Appears in Collections:Condensed Matter Theory
Physics
Faculty of Natural Sciences



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