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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:
OSTI Identifier:
1226075
Report Number(s):
BNL--108564-2015-JA
Journal ID: ISSN 0031-9007; PRLTAO; R&D Project: PO015; KC0202030
Grant/Contract Number:
SC00112704
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