Autor: |
Vadimov, V., Hyart, T., Lado, J. L., Möttönen, M., Ala-Nissila, T. |
Rok vydání: |
2020 |
Předmět: |
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Zdroj: |
Phys. Rev. Research 3, 023002 (2021) |
Druh dokumentu: |
Working Paper |
DOI: |
10.1103/PhysRevResearch.3.023002 |
Popis: |
Topological superconductors represent one of the key hosts of Majorana-based topological quantum computing. Typical scenarios for one-dimensional topological superconductivity assume a broken gauge symmetry associated to a superconducting state. However, no interacting one-dimensional 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 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 systems without gauge symmetry breaking, thus introducing a family of protected excitations with no single-particle analogs. |
Databáze: |
arXiv |
Externí odkaz: |
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