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

Autor: Vadimov, V., Hyart, T., Lado, J. L., Möttönen, M., Ala-Nissila, T.
Rok vydání: 2020
Předmět:
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