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Many-body Majorana-like zero modes without gauge symmetry breaking

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journal contribution
posted on 08.10.2021, 14:10 by V Vadimov, T Hyart, JL Lado, M Möttönen, Tapio Ala-NissilaTapio Ala-Nissila
Topological superconductors represent one of the key hosts of Majorana-based topological quantum computing. Typical scenarios for one-dimensional (1D) topological superconductivity assume a broken gauge symmetry associated to a superconducting state. However, no interacting 1D many-body system is known to spontaneously break gauge symmetries. Here, we show that zero modes emerge in a many-body system without gauge symmetry breaking and in the absence of superconducting order. In particular, we demonstrate that Majorana zero modes of the symmetry-broken superconducting state are continuously connected to these zero-mode excitations, demonstrating that zero-bias anomalies may emerge in the absence of gauge symmetry breaking. We demonstrate that these many-body zero modes share the robustness features of the Majorana zero modes of symmetry-broken topological superconductors. We further show that the interface between the interacting model and a 1D topological superconductor does not support Majorana modes. We introduce a bosonization formalism to analyze these excitations and show that a ground state analogous to a topological superconducting state can be analytically found in a certain limit. Our results demonstrate that robust Majorana-like zero modes may appear in a many-body system without gauge symmetry breaking, thus introducing a family of protected excitations with no single-particle analogs.

Funding

Academy of Finland projects (Grants No. 331342 and No. 336243) and its Centre of Excellence in Quantum Technology (QTF) (Grant No. 336810)

European Research Council under Grant No. 681311 (QUESS)

Foundation for Polish Science through the IRA Programme co-financed by EU within SG OP

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review Research

Volume

3

Issue

2

Publisher

American Physical Society (APS)

Version

VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This is an Open Access Article. It is published by the American Physical Society under the Creative Commons Attribution 4.0 International Licence (CC BY 4.0). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/

Acceptance date

08/03/2021

Publication date

2021-04-01

Copyright date

2021

eISSN

2643-1564

Language

en

Depositor

Prof Tapio Ala-Nissila. Deposit date: 7 October 2021

Article number

023002

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