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Title: Unpaired Majorana modes in Josephson-Junction Arrays with gapless bulk excitations

In this study, the search for Majorana bound states in solid-state physics has been limited to materials that display a gap in their bulk spectrum. We show that such unpaired states appear in certain quasi-one-dimensional Josephson-junction arrays with gapless bulk excitations. The bulk modes mediate a coupling between Majorana bound states via the Ruderman-Kittel-Yosida-Kasuya mechanism. As a consequence, the lowest energy doublet acquires a finite energy difference. For a realistic set of parameters this energy splitting remains much smaller than the energy of the bulk eigenstates even for short chains of length L~10.
Authors:
 [1] ;  [2] ;  [3]
  1. Rutgers Univ., Piscataway, NJ (United States)
  2. Brookhaven National Lab., Upton, NY (United States)
  3. Rutgers Univ., Piscataway, NJ (United States); CNRS, Paris (France)
Publication Date:
Report Number(s):
BNL-108564-2015-JA; BNL-111656-2015-JA
Journal ID: ISSN 0031-9007; PRLTAO; R&D Project: PO015; KC0202030
Grant/Contract Number:
SC00112704; AC02-98CH10886
Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 115; Journal Issue: 19; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
OSTI Identifier:
1226075
Alternate Identifier(s):
OSTI ID: 1225399; OSTI ID: 1235864

Pino, M., Tsvelik, A., and Ioffe, L. B.. Unpaired Majorana modes in Josephson-Junction Arrays with gapless bulk excitations. United States: N. p., Web. doi:10.1103/PhysRevLett.115.197001.
Pino, M., Tsvelik, A., & Ioffe, L. B.. Unpaired Majorana modes in Josephson-Junction Arrays with gapless bulk excitations. United States. doi:10.1103/PhysRevLett.115.197001.
Pino, M., Tsvelik, A., and Ioffe, L. B.. 2015. "Unpaired Majorana modes in Josephson-Junction Arrays with gapless bulk excitations". United States. doi:10.1103/PhysRevLett.115.197001. https://www.osti.gov/servlets/purl/1226075.
@article{osti_1226075,
title = {Unpaired Majorana modes in Josephson-Junction Arrays with gapless bulk excitations},
author = {Pino, M. and Tsvelik, A. and Ioffe, L. B.},
abstractNote = {In this study, the search for Majorana bound states in solid-state physics has been limited to materials that display a gap in their bulk spectrum. We show that such unpaired states appear in certain quasi-one-dimensional Josephson-junction arrays with gapless bulk excitations. The bulk modes mediate a coupling between Majorana bound states via the Ruderman-Kittel-Yosida-Kasuya mechanism. As a consequence, the lowest energy doublet acquires a finite energy difference. For a realistic set of parameters this energy splitting remains much smaller than the energy of the bulk eigenstates even for short chains of length L~10.},
doi = {10.1103/PhysRevLett.115.197001},
journal = {Physical Review Letters},
number = 19,
volume = 115,
place = {United States},
year = {2015},
month = {11}
}