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Frustration-free Hamiltonians supporting Majorana zero edge modes

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Title: Frustration-free Hamiltonians supporting Majorana zero edge modes
Authors: Jevtic, S
Barnett, R
Item Type: Journal Article
Abstract: A one-dimensional fermionic system, such as a superconducting wire, may host Majorana zero-energy edge modes (MZMs) at its edges when it is in the topological phase. MZMs provide a path to realising fault-tolerant quantum computation, and so are the focus of intense experimental and theoretical studies. However, given a Hamiltonian, determining whether MZMs exist is a daunting task as it relies on knowing the spectral properties of the Hamiltonian in the thermodynamic limit. The Kitaev chain is a paradigmatic non-interacting model that supports MZMs and the Hamiltonian can be fully diagonalised. However, for interacting models, the situation is far more complex. Here we consider a different classification of models, namely, ones with frustration-free Hamiltonians. Within this class of models, interacting and non-interacting systems are treated on an equal footing, and we identify exactly which Hamiltonians can realise MZMs.
Issue Date: 25-Oct-2017
Date of Acceptance: 29-Aug-2017
URI: http://hdl.handle.net/10044/1/50543
DOI: https://dx.doi.org/10.1088/1367-2630/aa88da
ISSN: 1367-2630
Publisher: Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft
Journal / Book Title: New Journal of Physics
Volume: 19
Copyright Statement: Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Sponsor/Funder: Commission of the European Communities
Funder's Grant Number: PCIG14-GA-2013-631002
Keywords: 02 Physical Sciences
Fluids & Plasmas
Publication Status: Published
Article Number: 103034
Appears in Collections:Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences