Unpaired Majorana Modes in Josephson-Junction Arrays with Gapless Bulk Excitations

M. Pino, A. M. Tsvelik, L. B. Ioffe

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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.

Original languageEnglish (US)
Article number197001
JournalPhysical review letters
Issue number19
StatePublished - Nov 6 2015

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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