Oddfrequency pairing of interacting Majorana fermions
In this study, 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 oddfrequency 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 GinzburgLandau theory that allows discussing a possible subleading admixture of evenfrequency pairing.
 Authors:

^{[1]};
^{[2]};
^{[3]}
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Karlsruher Institut fur Technologie, Karlsruhe (Germany)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States); NORDITA, Stockholm (Sweden)
 Publication Date:
 Report Number(s):
 LAUR1526257
Journal ID: ISSN 10980121; PRBMDO
 Grant/Contract Number:
 AC5206NA25396; E304
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. B, Condensed Matter and Materials Physics
 Additional Journal Information:
 Journal Volume: 92; Journal Issue: 12; Journal ID: ISSN 10980121
 Publisher:
 American Physical Society (APS)
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22); USDOE National Nuclear Security Administration (NNSA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; material science; Majorana fermions; superconductivity
 OSTI Identifier:
 1329896
 Alternate Identifier(s):
 OSTI ID: 1215783
Huang, Zhoushen, Wolfle, P., and Balatsky, Alexander V.. Oddfrequency pairing of interacting Majorana fermions. United States: N. p.,
Web. doi:10.1103/PhysRevB.92.121404.
Huang, Zhoushen, Wolfle, P., & Balatsky, Alexander V.. Oddfrequency pairing of interacting Majorana fermions. United States. doi:10.1103/PhysRevB.92.121404.
Huang, Zhoushen, Wolfle, P., and Balatsky, Alexander V.. 2015.
"Oddfrequency pairing of interacting Majorana fermions". United States.
doi:10.1103/PhysRevB.92.121404. https://www.osti.gov/servlets/purl/1329896.
@article{osti_1329896,
title = {Oddfrequency pairing of interacting Majorana fermions},
author = {Huang, Zhoushen and Wolfle, P. and Balatsky, Alexander V.},
abstractNote = {In this study, 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 oddfrequency behavior. It is stabilized when the coupling strength g is above a critical value gc. 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 GinzburgLandau theory that allows discussing a possible subleading admixture of evenfrequency pairing.},
doi = {10.1103/PhysRevB.92.121404},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 12,
volume = 92,
place = {United States},
year = {2015},
month = {9}
}