Projects per year
Abstract
Topological superconductors represent one of the key hosts of Majoranabased topological quantum computing. Typical scenarios for onedimensional (1D) topological superconductivity assume a broken gauge symmetry associated to a superconducting state. However, no interacting 1D manybody system is known to spontaneously break gauge symmetries. Here, we show that zero modes emerge in a manybody system without gauge symmetry breaking and in the absence of superconducting order. In particular, we demonstrate that Majorana zero modes of the symmetrybroken superconducting state are continuously connected to these zeromode excitations, demonstrating that zerobias anomalies may emerge in the absence of gauge symmetry breaking. We demonstrate that these manybody zero modes share the robustness features of the Majorana zero modes of symmetrybroken 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 Majoranalike zero modes may appear in a manybody system without gauge symmetry breaking, thus introducing a family of protected excitations with no singleparticle analogs.
Original language  English 

Article number  023002 
Number of pages  11 
Journal  PHYSICAL REVIEW RESEARCH 
Volume  3 
Issue number  2 
DOIs  
Publication status  Published  1 Apr 2021 
MoE publication type  A1 Journal articlerefereed 
Keywords
 TOPOLOGICAL SUPERCONDUCTIVITY
 QUANTUM
 PHASE
 FERMIONS
Projects
 3 Active

Engineering fractional quantum matter in twisted van der Waals materials
01/09/2020 → 31/08/2025
Project: Academy of Finland: Other research funding

Engineering fractional quantum matter in twisted van der Waals materials
Lado, J., Koch, R. & Kumar, P.
01/09/2020 → 31/08/2023
Project: Academy of Finland: Other research funding

QUESS  Quantum Environment Engineering for Steered Systems
Keränen, A., Ma, J., Möttönen, M., Silveri, M., Tiurev, K., Girard, J., Gunyhó, A., Lebedeff, S., Mäkinen, A., Tuorila, J., Mörstedt, T., Oinonen, N., Partanen, M., Kohvakka, K., Tuohino, S., Kivijärvi, H., Sah, A. & Abuzaid, O.
23/12/2016 → 31/12/2021
Project: EU: ERC grants