Aseev, Pavel P. and Marra, Pasquale and Stano, Peter and Klinovaja, Jelena and Loss, Daniel. (2019) Degeneracy lifting of Majorana bound states due to electronphonon interactions. Physical Review B, 99 (20). p. 205435.
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Official URL: https://edoc.unibas.ch/74243/
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Abstract
We study theoretically how electronphonon interaction affects the energies and level broadening (inverse lifetime) of Majorana bound states (MBSs) in a clean topological nanowire at low temperatures. At zero temperature, the energy splitting between the right and left MBSs remains exponentially small with increasing nanowire length L. At finite temperatures, however, the absorption of thermal phonons leads to the broadening of energy levels of the MBSs that does not decay with system length, and the coherent absorption/emission of phonons at opposite ends of the nanowire results in MBSs energy splitting that decays only as an inverse power law in L. Both effects remain exponential in temperature. In the case of quantized transverse motion of phonons, the presence of Van Hove singularities in the phonon density of states causes additional resonant enhancement of both the energy splitting and the level broadening of the MBSs. This is the most favorable case to observe the phononinduced energy splitting of MBSs as it becomes much larger than the broadening even if the topological nanowire is much longer than the coherence length. We also calculate the charge and spin associated with the energy splitting of the MBSs induced by phonons. We consider both a spinless lowenergy continuum model, which we evaluate analytically, as well as a spinful lattice model for a Rashba nanowire, which we evaluate numerically.
Faculties and Departments:  05 Faculty of Science > Departement Physik > Physik > Theoretical Nano/Quantum Physics (Klinovaja) 

UniBasel Contributors:  Klinovaja, Jelena 
Item Type:  Article, refereed 
Article Subtype:  Research Article 
Publisher:  American Physical Society 
ISSN:  24699950 
eISSN:  24699969 
Note:  Publication type according to Uni Basel Research Database: Journal article 
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Last Modified:  16 Apr 2020 13:47 
Deposited On:  16 Apr 2020 13:46 
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