2026-08-22T00:38:27Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/189992024-08-27T16:57:35Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Viyuela García, Óscar
author
Vodola, V.
author
Pupillo, G.
author
Martín-Delgado Alcántara, Miguel Ángel
2023-06-17T23:54:23Z
2023-06-17T23:54:23Z
2016-09-13
2469-9950
10.1103/PhysRevB.94.125121
https://hdl.handle.net/20.500.14352/18999
http://dx.doi.org/10.1103/PhysRevB.94.125121
http://journals.aps.org/
We discover novel topological effects in the one-dimensional Kitaev chain modified by long-range Hamiltonian deformations in the hopping and pairing terms. This class of models display symmetry-protected topological order measured by the Berry/Zak phase of the lower-band eigenvector and the winding number of the Hamiltonians. For exponentially decaying hopping amplitudes, the topological sector can be significantly augmented as the penetration length increases, something experimentally achievable. For power-law decaying superconducting pairings, the massless Majorana modes at the edges get paired together into a massive nonlocal Dirac fermion localized at both edges of the chain: a new topological quasiparticle that we call topological massive Dirac fermion. This topological phase has fractional topological numbers as a consequence of the long-range couplings. Possible applications to current experimental setups and topological quantum computation are also discussed.
eng
Topological massive Dirac edge modes and long-range superconducting Hamiltonians
journal article
URL
https://docta.ucm.es/bitstreams/10652605-4b16-48c1-a3ed-43ca3d8a6a16/download
File
MD5
5d1c2e7e2505d6df428d513f1a83c606
370106
application/pdf
Martín Delgado Alcántara MÁ 109 LIBRE.pdf