A simple electronic ladder model harboring $\mathbb{Z}_4$ parafermions Article Swipe

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Botond Osváth , Gergely Barcza , Örs Legeza , Balázs Dóra , László Oroszlány ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2311.07359

Parafermions are anyons with the potential for realizing non-local qubits that are resilient to local perturbations. Compared to Majorana zero modes, braiding of parafermions implements an extended set of topologically protected quantum gates. This, however, comes at the price that parafermionic zero modes can not be realized in the absence of strong interactions whose theoretical description is challenging. In the present work, we construct a simple lattice model for interacting spinful electrons with parafermionic zero energy modes. The explicit microscopic nature of the considered model highlights new realization avenues for these exotic excitations in recently fabricated quantum dot arrays. By density matrix renormalization group calculations, we identify a broad range of parameters, with well-localized zero modes, whose parafermionic nature is substantiated by their unique $8π$ periodic Josephson spectrum.

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Physics MAJORANA Qubit Quantum mechanics Realization (probability) Quantum Simple (philosophy) Zero (linguistics) Lattice (music) Topological quantum computer Density matrix renormalization group Renormalization group Theoretical physics Fermion Mathematics Statistics Acoustics Epistemology Philosophy Linguistics

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2311.07359
PDF: https://arxiv.org/pdf/2311.07359
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DOI: https://doi.org/10.48550/arxiv.2311.07359

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Title: A simple electronic ladder model harboring $\mathbb{Z}_4$ parafermions

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Language: en

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Publication year: 2023

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Publication date: 2023-11-13

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Authors: Botond Osváth, Gergely Barcza, Örs Legeza, Balázs Dóra, László Oroszlány

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Landing page: https://arxiv.org/abs/2311.07359

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Concepts: Physics, MAJORANA, Qubit, Quantum mechanics, Realization (probability), Quantum, Simple (philosophy), Zero (linguistics), Lattice (music), Topological quantum computer, Density matrix renormalization group, Renormalization group, Theoretical physics, Fermion, Mathematics, Statistics, Acoustics, Epistemology, Philosophy, Linguistics

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