Odd-frequency pairing of interacting Majorana fermions
Number of Authors: 3
2015 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 92, no 12, 121404Article in journal (Refereed) Published
Majorana fermions are rising as a promising key component in quantum computation. Although the prevalent approach is to use a quadratic (i.e., noninteracting) Majorana Hamiltonian, when expressed in terms of Dirac fermions, generically the Hamiltonian involves interaction terms. Here we focus on the possible pair correlations in a simple model system. We study a model of Majorana fermions coupled to a boson mode and show that the anomalous correlator between different Majorana fermions, located at opposite ends of a topological wire, exhibits odd-frequency behavior. It is stabilized when the coupling strength g is above a critical value g(c). We use both, conventional diagrammatic theory and a functional integral approach, to derive the gap equation, the critical temperature, the gap function, the critical coupling, and a Ginzburg-Landau theory that allows discussing a possible subleading admixture of even-frequency pairing.
Place, publisher, year, edition, pages
2015. Vol. 92, no 12, 121404
IdentifiersURN: urn:nbn:se:su:diva-121882DOI: 10.1103/PhysRevB.92.121404ISI: 000361118600002OAI: oai:DiVA.org:su-121882DiVA: diva2:862536