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

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

doi:10.1103/PhysRevLett.115.197001

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

Journal Article · Fri Nov 06 00:00:00 EST 2015 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.115.197001· OSTI ID:1226075

Pino, M. ^[1]; Tsvelik, A. ^[2]; Ioffe, L. B. ^[3]

Rutgers Univ., Piscataway, NJ (United States)
Brookhaven National Lab., Upton, NY (United States)
Rutgers Univ., Piscataway, NJ (United States); CNRS, Paris (France)

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.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC00112704; AC02-98CH10886

OSTI ID:: 1226075

Alternate ID(s):: OSTI ID: 1225399; OSTI ID: 1235864

Report Number(s):: BNL-108564-2015-JA; BNL-111656-2015-JA; PRLTAO; R&D Project: PO015; KC0202030

Journal Information:: Physical Review Letters, Vol. 115, Issue 19; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 10 works

Citation information provided by
Web of Science

References (24)

Realization of a two-channel Kondo model with Josephson junction networks Giuliano, Domenico; Sodano, Pasquale EPL (Europhysics Letters), Vol. 103, Issue 5 https://doi.org/10.1209/0295-5075/103/57006	journal	September 2013
Protected Josephson Rhombus Chains Bell, Matthew T.; Paramanandam, Joshua; Ioffe, Lev B. Physical Review Letters, Vol. 112, Issue 16 https://doi.org/10.1103/PhysRevLett.112.167001	journal	April 2014
A Theory of Metallic Ferro- and Antiferromagnetism on Zener's Model Kasuya, Tadao Progress of Theoretical Physics, Vol. 16, Issue 1 https://doi.org/10.1143/PTP.16.45	journal	July 1956
ARPACK Users' Guide Lehoucq, R. B.; Sorensen, D. C.; Yang, C. Software, Environments, and Tools https://doi.org/10.1137/1.9780898719628	book	January 1998
Multi-channel Kondo impurity dynamics in a Majorana device Altland, A.; Beri, B.; Egger, R. arXiv https://doi.org/10.48550/arxiv.1312.3802	text	January 2013
Colloquium: Topological insulators Hasan, M. Z.; Kane, C. L. Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067 https://doi.org/10.1103/RevModPhys.82.3045	journal	November 2010
Quantum spins on star graphs and the Kondo model Crampé, N.; Trombettoni, A. Nuclear Physics B, Vol. 871, Issue 3 https://doi.org/10.1016/j.nuclphysb.2013.03.001	journal	June 2013
Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices Mourik, V.; Zuo, K.; Frolov, S. M. Science, Vol. 336, Issue 6084 https://doi.org/10.1126/science.1222360	journal	April 2012
New directions in the pursuit of Majorana fermions in solid state systems Alicea, Jason Reports on Progress in Physics, Vol. 75, Issue 7 https://doi.org/10.1088/0034-4885/75/7/076501	journal	June 2012
Unpaired Majorana fermions in quantum wires Kitaev, A. Yu Physics-Uspekhi, Vol. 44, Issue 10S https://doi.org/10.1070/1063-7869/44/10S/S29	journal	October 2001
Physical implementation of protected qubits Douçot, B.; Ioffe, L. B. Reports on Progress in Physics, Vol. 75, Issue 7 https://doi.org/10.1088/0034-4885/75/7/072001	journal	June 2012
Two-impurity helical Majorana problem Eriksson, Erik; Zazunov, Alex; Sodano, Pasquale Physical Review B, Vol. 91, Issue 6 https://doi.org/10.1103/physrevb.91.064501	journal	February 2015
Teoria simmetrica dell’elettrone e del positrone Majorana, Ettore Il Nuovo Cimento, Vol. 14, Issue 4 https://doi.org/10.1007/BF02961314	journal	April 1937
Quantum Superinductor with Tunable Nonlinearity Bell, M. T.; Sadovskyy, I. A.; Ioffe, L. B. Physical Review Letters, Vol. 109, Issue 13 https://doi.org/10.1103/PhysRevLett.109.137003	journal	September 2012
Indirect Exchange Coupling of Nuclear Magnetic Moments by Conduction Electrons Ruderman, M. A.; Kittel, C. Physical Review, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRev.96.99	journal	October 1954
Microwave spectroscopy of a Cooper-pair transistor coupled to a lumped-element resonator Bell, Matthew T.; Ioffe, Lev B.; Gershenson, Michael E. Physical Review B, Vol. 86, Issue 14 https://doi.org/10.1103/PhysRevB.86.144512	journal	October 2012
Simple formulation of the two-channel Kondo model Coleman, P.; Ioffe, L. B.; Tsvelik, A. M. Physical Review B, Vol. 52, Issue 9 https://doi.org/10.1103/PhysRevB.52.6611	journal	September 1995
Microwave Spectroscopy of a Cooper-Pair Transistor Coupled to a Lumped-Element Resonator Bell, Matthew T.; Ioffe, Lev B.; Gershenson, Michael E. arXiv https://doi.org/10.48550/arxiv.1111.2332	text	January 2011
Magnetic Properties of Cu-Mn Alloys Yosida, Kei Physical Review, Vol. 106, Issue 5 https://doi.org/10.1103/PhysRev.106.893	journal	June 1957
Protected Josephson Rhombi Chains Bell, Matthew T.; Paramanandam, Joshua; Ioffe, Lev B. arXiv https://doi.org/10.48550/arxiv.1311.6521	text	January 2013
The one-dimensional Ising model with a transverse field Pfeuty, Pierre Annals of Physics, Vol. 57, Issue 1 https://doi.org/10.1016/0003-4916(70)90270-8	journal	March 1970
Multichannel Kondo Impurity Dynamics in a Majorana Device Altland, A.; Béri, B.; Egger, R. Physical Review Letters, Vol. 113, Issue 7 https://doi.org/10.1103/PhysRevLett.113.076401	journal	August 2014
Effective theory for midgap states in doped spin-ladder and spin-Peierls systems: Liouville quantum mechanics Shelton, David G.; Tsvelik, Alexei M. Physical Review B, Vol. 57, Issue 22 https://doi.org/10.1103/PhysRevB.57.14242	journal	June 1998
Majorana Fermion Realization of a Two-Channel Kondo Effect in a Junction of Three Quantum Ising Chains Tsvelik, A. M. Physical Review Letters, Vol. 110, Issue 14 https://doi.org/10.1103/PhysRevLett.110.147202	journal	April 2013

Cited By (2)

Current transport properties and phase diagram of a Kitaev chain with long-range pairing Giuliano, Domenico; Paganelli, Simone; Lepori, Luca Physical Review B, Vol. 97, Issue 15 https://doi.org/10.1103/physrevb.97.155113	journal	April 2018
Current transport properties and phase diagram of a Kitaev chain with long-range pairing Giuliano, Domenico; Paganelli, Simone; Lepori, Luca arXiv https://doi.org/10.48550/arxiv.1710.09022	text	January 2017

Similar Records

Majorana bound states in a d-wave superconductor planar Josephson junction

Journal Article · Tue Oct 24 00:00:00 EDT 2023 · Physical Review. B · OSTI ID:1226075

Vakili, Hamed; Ali, Moaz; Elekhtiar, Mohamed; +1 more

Floquet Majorana zero and

π

modes in planar Josephson junctions

Journal Article · Thu Mar 07 00:00:00 EST 2019 · Physical Review B · OSTI ID:1226075

Liu, Dillon T.; Shabani, Javad; Mitra, Aditi

Relaxing Kondo-screened Kramers doublets in

CeRhSi_{3}

Journal Article · Mon Mar 25 00:00:00 EDT 2019 · Physical Review B · OSTI ID:1226075

Pásztorová, J.; Howell, A.; Songvilay, M.; +10 more

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY

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

Citation Formats

References (24)

Cited By (2)

Similar Records

Related Subjects