Transport through a Majorana Island in the Strong Tunneling Regime
Abstract
In the presence of Rashba spin-orbit coupling, a magnetic field can drive a proximitized nanowire into a topological superconducting phase [R. M. Lutchyn, J. D. Sau, and S. Das Sarma, Phys. Rev. Lett. 105, 077001 (2010). and Y. Oreg, G. Refael, and F. von Oppen, Phys. Rev. Lett. 105, 177002 (2010).]. We study the transport properties of such nanowires in the Coulomb blockade regime. The associated with topological superconductivity Majorana modes significantly modify transport and lead to single-electron coherent transmission through the nanowire—a nonlocal signature of topological superconductivity. In this Letter, we focus on the case of strong hybridization of the Majorana modes with normal leads. The induced by hybridization broadening of the Majorana zero-energy states competes with the charging energy, leading to a considerable modification of the Coulomb blockade in a nanowire contacted by two normal leads. We evaluate the two-terminal conductance as a function of the gate voltage, junctions transmission coefficients, and the geometric capacitance of and the induced superconducting gap in the nanowire.
- Authors:
-
- Microsoft Research, Santa Barbara, CA (United States). Station Q
- Yale Univ., New Haven, CT (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Yale Univ., New Haven, CT (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1536540
- Alternate Identifier(s):
- OSTI ID: 1374070
- Grant/Contract Number:
- FG02-08ER46482; DEFG02-08ER46482
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 119; Journal Issue: 5; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Lutchyn, Roman M., and Glazman, Leonid I. Transport through a Majorana Island in the Strong Tunneling Regime. United States: N. p., 2017.
Web. doi:10.1103/physrevlett.119.057002.
Lutchyn, Roman M., & Glazman, Leonid I. Transport through a Majorana Island in the Strong Tunneling Regime. United States. https://doi.org/10.1103/physrevlett.119.057002
Lutchyn, Roman M., and Glazman, Leonid I. Fri .
"Transport through a Majorana Island in the Strong Tunneling Regime". United States. https://doi.org/10.1103/physrevlett.119.057002. https://www.osti.gov/servlets/purl/1536540.
@article{osti_1536540,
title = {Transport through a Majorana Island in the Strong Tunneling Regime},
author = {Lutchyn, Roman M. and Glazman, Leonid I.},
abstractNote = {In the presence of Rashba spin-orbit coupling, a magnetic field can drive a proximitized nanowire into a topological superconducting phase [R. M. Lutchyn, J. D. Sau, and S. Das Sarma, Phys. Rev. Lett. 105, 077001 (2010). and Y. Oreg, G. Refael, and F. von Oppen, Phys. Rev. Lett. 105, 177002 (2010).]. We study the transport properties of such nanowires in the Coulomb blockade regime. The associated with topological superconductivity Majorana modes significantly modify transport and lead to single-electron coherent transmission through the nanowire—a nonlocal signature of topological superconductivity. In this Letter, we focus on the case of strong hybridization of the Majorana modes with normal leads. The induced by hybridization broadening of the Majorana zero-energy states competes with the charging energy, leading to a considerable modification of the Coulomb blockade in a nanowire contacted by two normal leads. We evaluate the two-terminal conductance as a function of the gate voltage, junctions transmission coefficients, and the geometric capacitance of and the induced superconducting gap in the nanowire.},
doi = {10.1103/physrevlett.119.057002},
journal = {Physical Review Letters},
number = 5,
volume = 119,
place = {United States},
year = {Fri Aug 04 00:00:00 EDT 2017},
month = {Fri Aug 04 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Controlling charge quantization with quantum fluctuations
journal, August 2016
- Jezouin, S.; Iftikhar, Z.; Anthore, A.
- Nature, Vol. 536, Issue 7614
Quantum effects in Coulomb blockade
journal, March 2002
- Aleiner, I. L.; Brouwer, P. W.; Glazman, L. I.
- Physics Reports, Vol. 358, Issue 5-6
Quantum charge fluctuations of a proximitized nanowire
journal, September 2016
- Lutchyn, Roman M.; Flensberg, Karsten; Glazman, Leonid I.
- Physical Review B, Vol. 94, Issue 12
Anyonic interferometry without anyons: how a flux qubit can read out a topological qubit
journal, December 2010
- Hassler, F.; Akhmerov, A. R.; Hou, C-Y
- New Journal of Physics, Vol. 12, Issue 12
Majorana zero modes in one-dimensional quantum wires without long-ranged superconducting order
journal, November 2011
- Fidkowski, Lukasz; Lutchyn, Roman M.; Nayak, Chetan
- Physical Review B, Vol. 84, Issue 19
Landauer conductance of Luttinger liquids with leads
journal, August 1995
- Maslov, Dmitrii L.; Stone, Michael
- Physical Review B, Vol. 52, Issue 8
Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
journal, August 2010
- Lutchyn, Roman M.; Sau, Jay D.; Das Sarma, S.
- Physical Review Letters, Vol. 105, Issue 7
Non-Abelian Statistics of Half-Quantum Vortices in -Wave Superconductors
journal, January 2001
- Ivanov, D. A.
- Physical Review Letters, Vol. 86, Issue 2
Conductance of a proximitized nanowire in the Coulomb blockade regime
journal, June 2016
- van Heck, B.; Lutchyn, R. M.; Glazman, L. I.
- Physical Review B, Vol. 93, Issue 23
Transport in an inhomogeneous interacting one-dimensional system
journal, December 1995
- Safi, I.; Schulz, H. J.
- Physical Review B, Vol. 52, Issue 24
Anomalous Zero-Bias Conductance Peak in a Nb–InSb Nanowire–Nb Hybrid Device
journal, February 2012
- Deng, M. T.; Yu, C. L.; Huang, G. Y.
- Nano Letters, Vol. 12, Issue 12
Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
journal, February 2010
- Fu, Liang
- Physical Review Letters, Vol. 104, Issue 5
Towards Realistic Implementations of a Majorana Surface Code
journal, February 2016
- Landau, L. A.; Plugge, S.; Sela, E.
- Physical Review Letters, Vol. 116, Issue 5
Introduction to topological superconductivity and Majorana fermions
journal, November 2012
- Leijnse, Martin; Flensberg, Karsten
- Semiconductor Science and Technology, Vol. 27, Issue 12
Theory of strong inelastic cotunneling
journal, December 1995
- Furusaki, A.; Matveev, K. A.
- Physical Review B, Vol. 52, Issue 23
Helical Liquids and Majorana Bound States in Quantum Wires
journal, October 2010
- Oreg, Yuval; Refael, Gil; von Oppen, Felix
- Physical Review Letters, Vol. 105, Issue 17
Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices
journal, April 2012
- Mourik, V.; Zuo, K.; Frolov, S. M.
- Science, Vol. 336, Issue 6084
Search for Majorana Fermions in Superconductors
journal, April 2013
- Beenakker, C. W. J.
- Annual Review of Condensed Matter Physics, Vol. 4, Issue 1
New directions in the pursuit of Majorana fermions in solid state systems
journal, June 2012
- Alicea, Jason
- Reports on Progress in Physics, Vol. 75, Issue 7
Coulomb blockade at almost perfect transmission
journal, January 1995
- Matveev, K. A.
- Physical Review B, Vol. 51, Issue 3
Roadmap to Majorana surface codes
journal, November 2016
- Plugge, S.; Landau, L. A.; Sela, E.
- Physical Review B, Vol. 94, Issue 17
Unpaired Majorana fermions in quantum wires
journal, October 2001
- Kitaev, A. Yu
- Physics-Uspekhi, Vol. 44, Issue 10S
Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes
journal, June 2017
- Karzig, Torsten; Knapp, Christina; Lutchyn, Roman M.
- Physical Review B, Vol. 95, Issue 23
Non-Abelian anyons and topological quantum computation
journal, September 2008
- Nayak, Chetan; Simon, Steven H.; Stern, Ady
- Reviews of Modern Physics, Vol. 80, Issue 3
Majorana Single-Charge Transistor
journal, October 2012
- Hützen, R.; Zazunov, A.; Braunecker, B.
- Physical Review Letters, Vol. 109, Issue 16
Controlling non-Abelian statistics of Majorana fermions in semiconductor nanowires
journal, September 2011
- Sau, Jay D.; Clarke, David J.; Tewari, Sumanta
- Physical Review B, Vol. 84, Issue 9
Exponential protection of zero modes in Majorana islands
journal, March 2016
- Albrecht, S. M.; Higginbotham, A. P.; Madsen, M.
- Nature, Vol. 531, Issue 7593
Majorana box qubits
journal, January 2017
- Plugge, Stephan; Rasmussen, Asbjørn; Egger, Reinhold
- New Journal of Physics, Vol. 19, Issue 1
Interaction effects in superconductor/quantum spin Hall devices: Universal transport signatures and fractional Coulomb blockade
journal, October 2016
- Aasen, David; Lee, Shu-Ping; Karzig, Torsten
- Physical Review B, Vol. 94, Issue 16
Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect
journal, April 2000
- Read, N.; Green, Dmitry
- Physical Review B, Vol. 61, Issue 15
Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures
journal, January 2010
- Sau, Jay D.; Lutchyn, Roman M.; Tewari, Sumanta
- Physical Review Letters, Vol. 104, Issue 4
Transmission through barriers and resonant tunneling in an interacting one-dimensional electron gas
journal, December 1992
- Kane, C. L.; Fisher, Matthew P. A.
- Physical Review B, Vol. 46, Issue 23
Majorana bound state in a coupled quantum-dot hybrid-nanowire system
journal, December 2016
- Deng, M. T.; Vaitiekėnas, S.; Hansen, E. B.
- Science, Vol. 354, Issue 6319
Majorana zero modes and topological quantum computation
journal, October 2015
- Sarma, Sankar Das; Freedman, Michael; Nayak, Chetan
- npj Quantum Information, Vol. 1, Issue 1
Topological Quantum Buses: Coherent Quantum Information Transfer between Topological and Conventional Qubits
journal, March 2011
- Bonderson, Parsa; Lutchyn, Roman M.
- Physical Review Letters, Vol. 106, Issue 13
Non-Abelian statistics and topological quantum information processing in 1D wire networks
journal, February 2011
- Alicea, Jason; Oreg, Yuval; Refael, Gil
- Nature Physics, Vol. 7, Issue 5
Transport properties of topological superconductor–Luttinger liquid junctions: A real-time Keldysh approach
journal, July 2013
- Lutchyn, Roman M.; Skrabacz, Jacob H.
- Physical Review B, Vol. 88, Issue 2
Majorana fermions in semiconductor nanowires: fundamentals, modeling, and experiment
journal, May 2013
- Stanescu, T. D.; Tewari, S.
- Journal of Physics: Condensed Matter, Vol. 25, Issue 23
Two-channel Kondo effect and renormalization flow with macroscopic quantum charge states
journal, October 2015
- Iftikhar, Z.; Jezouin, S.; Anthore, A.
- Nature, Vol. 526, Issue 7572
Zero-bias peaks and splitting in an Al–InAs nanowire topological superconductor as a signature of Majorana fermions
journal, November 2012
- Das, Anindya; Ronen, Yuval; Most, Yonatan
- Nature Physics, Vol. 8, Issue 12
Coulomb blockade of Majorana-fermion-induced transport
journal, October 2011
- Zazunov, A.; Yeyati, A. Levy; Egger, R.
- Physical Review B, Vol. 84, Issue 16
Majorana Edge States in Interacting One-Dimensional Systems
journal, July 2011
- Gangadharaiah, Suhas; Braunecker, Bernd; Simon, Pascal
- Physical Review Letters, Vol. 107, Issue 3
Parity independence of the zero-bias conductance peak in a nanowire based topological superconductor-quantum dot hybrid device
journal, December 2014
- Deng, M. T.; Yu, C. L.; Huang, G. Y.
- Scientific Reports, Vol. 4, Issue 1
Anomalous Modulation of a Zero-Bias Peak in a Hybrid Nanowire-Superconductor Device
journal, March 2013
- Finck, A. D. K.; Van Harlingen, D. J.; Mohseni, P. K.
- Physical Review Letters, Vol. 110, Issue 12
Flux-controlled quantum computation with Majorana fermions
journal, July 2013
- Hyart, T.; van Heck, B.; Fulga, I. C.
- Physical Review B, Vol. 88, Issue 3
Parity lifetime of bound states in a proximitized semiconductor nanowire
journal, September 2015
- Higginbotham, A. P.; Albrecht, S. M.; Kiršanskas, G.
- Nature Physics, Vol. 11, Issue 12
Superconductor-nanowire devices from tunneling to the multichannel regime: Zero-bias oscillations and magnetoconductance crossover
journal, June 2013
- Churchill, H. O. H.; Fatemi, V.; Grove-Rasmussen, K.
- Physical Review B, Vol. 87, Issue 24
Works referencing / citing this record:
Majorana zero modes in superconductor–semiconductor heterostructures
journal, May 2018
- Lutchyn, R. M.; Bakkers, E. P. A. M.; Kouwenhoven, L. P.
- Nature Reviews Materials, Vol. 3, Issue 5
Universal Majorana thermoelectric noise
journal, April 2018
- Smirnov, Sergey
- Physical Review B, Vol. 97, Issue 16
Quantum Criticality in Resonant Andreev Conduction
journal, September 2017
- Pustilnik, M.; van Heck, B.; Lutchyn, R. M.
- Physical Review Letters, Vol. 119, Issue 11
Signatures of topological ground state degeneracy in Majorana islands
text, January 2020
- Vayrynen, Jukka I.; Feiguin, Adrian E.; Lutchyn, Roman M.
- arXiv