Kondo physics from quasiparticle poisoning in Majorana devices
Abstract
Here, we present a theoretical analysis of quasiparticle poisoning in Coulomb-blockaded Majorana fermion systems tunnel-coupled to normal-conducting leads. Taking into account finite-energy quasiparticles, we derive the effective low-energy theory and present a renormalization group analysis. We find qualitatively new effects when a quasiparticle state with very low energy is localized near a tunnel contact. For M = 2 attached leads, such “dangerous” quasiparticle poisoning processes cause a spin S = 1/2 single-channel Kondo effect, which can be detected through a characteristic zero-bias anomaly conductance peak in all Coulomb blockade valleys. For more than two attached leads, the topological Kondo effect of the unpoisoned system becomes unstable. A strong-coupling bosonization analysis indicates that at low energy the poisoned lead is effectively decoupled and hence, for M > 3, the topological Kondo fixed point re-emerges, though now it involves only M–1 leads. As a consequence, for M = 3, the low-energy fixed point becomes trivial corresponding to decoupled leads.
- Authors:
-
- Heinrich-Heine-Univ., Dusseldorg (Germany)
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Heinrich-Heine-Univ., Dusseldorg (Germany); Univ. Grenoble Alpes, Grenoble (France); CEA, INAC-SPSMS, Grenoble (France)
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1255721
- Report Number(s):
- BNL-112202-2016-JA
Journal ID: ISSN 2469-9950; PRBMDO; R&D Project: PO015; KC0202030
- Grant/Contract Number:
- SC00112704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 10; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Plugge, S., Tsvelik, A. M., Zazunov, A., Eriksson, E., and Egger, R. Kondo physics from quasiparticle poisoning in Majorana devices. United States: N. p., 2016.
Web. doi:10.1103/PhysRevB.93.104524.
Plugge, S., Tsvelik, A. M., Zazunov, A., Eriksson, E., & Egger, R. Kondo physics from quasiparticle poisoning in Majorana devices. United States. https://doi.org/10.1103/PhysRevB.93.104524
Plugge, S., Tsvelik, A. M., Zazunov, A., Eriksson, E., and Egger, R. Thu .
"Kondo physics from quasiparticle poisoning in Majorana devices". United States. https://doi.org/10.1103/PhysRevB.93.104524. https://www.osti.gov/servlets/purl/1255721.
@article{osti_1255721,
title = {Kondo physics from quasiparticle poisoning in Majorana devices},
author = {Plugge, S. and Tsvelik, A. M. and Zazunov, A. and Eriksson, E. and Egger, R.},
abstractNote = {Here, we present a theoretical analysis of quasiparticle poisoning in Coulomb-blockaded Majorana fermion systems tunnel-coupled to normal-conducting leads. Taking into account finite-energy quasiparticles, we derive the effective low-energy theory and present a renormalization group analysis. We find qualitatively new effects when a quasiparticle state with very low energy is localized near a tunnel contact. For M = 2 attached leads, such “dangerous” quasiparticle poisoning processes cause a spin S = 1/2 single-channel Kondo effect, which can be detected through a characteristic zero-bias anomaly conductance peak in all Coulomb blockade valleys. For more than two attached leads, the topological Kondo effect of the unpoisoned system becomes unstable. A strong-coupling bosonization analysis indicates that at low energy the poisoned lead is effectively decoupled and hence, for M > 3, the topological Kondo fixed point re-emerges, though now it involves only M–1 leads. As a consequence, for M = 3, the low-energy fixed point becomes trivial corresponding to decoupled leads.},
doi = {10.1103/PhysRevB.93.104524},
journal = {Physical Review B},
number = 10,
volume = 93,
place = {United States},
year = {Thu Mar 24 00:00:00 EDT 2016},
month = {Thu Mar 24 00:00:00 EDT 2016}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 18 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
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
Introduction to topological superconductivity and Majorana fermions
journal, November 2012
- Leijnse, Martin; Flensberg, Karsten
- Semiconductor Science and Technology, Vol. 27, Issue 12
Search for Majorana Fermions in Superconductors
journal, April 2013
- Beenakker, C. W. J.
- Annual Review of Condensed Matter Physics, Vol. 4, Issue 1
Colloquium : Majorana fermions in nuclear, particle, and solid-state physics
journal, February 2015
- Elliott, Steven R.; Franz, Marcel
- Reviews of Modern Physics, Vol. 87, Issue 1
Random-matrix theory of Majorana fermions and topological superconductors
journal, September 2015
- Beenakker, C. W. J.
- Reviews of Modern Physics, Vol. 87, Issue 3
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
Hard gap in epitaxial semiconductor–superconductor nanowires
journal, January 2015
- Chang, W.; Albrecht, S. M.; Jespersen, T. S.
- Nature Nanotechnology, Vol. 10, Issue 3
Epitaxy of semiconductor–superconductor nanowires
journal, January 2015
- Krogstrup, P.; Ziino, N. L. B.; Chang, W.
- Nature Materials, Vol. 14, Issue 4
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
Exponential protection of zero modes in Majorana islands
journal, March 2016
- Albrecht, S. M.; Higginbotham, A. P.; Madsen, M.
- Nature, Vol. 531, Issue 7593
Nonequilibrium Quasiparticles and Periodicity in Single-Cooper-Pair Transistors
journal, February 2004
- Aumentado, J.; Keller, Mark W.; Martinis, John M.
- Physical Review Letters, Vol. 92, Issue 6
Quasiparticle decay rate of Josephson charge qubit oscillations
journal, July 2005
- Lutchyn, Roman; Glazman, Leonid; Larkin, Anatoly
- Physical Review B, Vol. 72, Issue 1
Quasiparticle Relaxation of Superconducting Qubits in the Presence of Flux
journal, February 2011
- Catelani, G.; Koch, J.; Frunzio, L.
- Physical Review Letters, Vol. 106, Issue 7
Quasiparticle trapping, Andreev level population dynamics, and charge imbalance in superconducting weak links
journal, September 2014
- Zazunov, A.; Brunetti, A.; Yeyati, A. Levy
- Physical Review B, Vol. 90, Issue 10
Majorana qubit decoherence by quasiparticle poisoning
journal, May 2012
- Rainis, Diego; Loss, Daniel
- Physical Review B, Vol. 85, Issue 17
Topological protection of Majorana qubits
journal, April 2012
- Cheng, Meng; Lutchyn, Roman M.; Das Sarma, S.
- Physical Review B, Vol. 85, Issue 16
Proposal to measure the quasiparticle poisoning time of Majorana bound states
journal, April 2014
- Colbert, Jacob R.; Lee, Patrick A.
- Physical Review B, Vol. 89, Issue 14
Riding a wild horse: Majorana fermions interacting with solitons of fast bosonic fields
journal, January 2012
- Tsvelik, A. M.
- EPL (Europhysics Letters), Vol. 97, Issue 1
Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
journal, February 2010
- Fu, Liang
- Physical Review Letters, Vol. 104, Issue 5
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 Single-Charge Transistor
journal, October 2012
- Hützen, R.; Zazunov, A.; Braunecker, B.
- Physical Review Letters, Vol. 109, Issue 16
Stretched quantum states emerging from a Majorana medium
journal, March 2007
- Semenoff, Gordon W.; Sodano, Pasquale
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 40, Issue 8
Detecting Majorana fermions by nonlocal entanglement between quantum dots
journal, June 2013
- Wang, Zhi; Hu, Xue-Yuan; Liang, Qi-Feng
- Physical Review B, Vol. 87, Issue 21
Majorana entanglement bridge
journal, June 2015
- Plugge, Stephan; Zazunov, Alex; Sodano, Pasquale
- Physical Review B, Vol. 91, Issue 21
Topological Kondo Effect with Majorana Fermions
journal, October 2012
- Béri, B.; Cooper, N. R.
- Physical Review Letters, Vol. 109, Issue 15
Multiterminal Coulomb-Majorana Junction
journal, May 2013
- Altland, Alexander; Egger, Reinhold
- Physical Review Letters, Vol. 110, Issue 19
Majorana-Klein Hybridization in Topological Superconductor Junctions
journal, May 2013
- Béri, B.
- Physical Review Letters, Vol. 110, Issue 21
Multichannel Kondo Impurity Dynamics in a Majorana Device
journal, August 2014
- Altland, A.; Béri, B.; Egger, R.
- Physical Review Letters, Vol. 113, Issue 7
Transport properties of the Coulomb–Majorana junction
journal, January 2014
- Zazunov, Alex; Altland, Alexander; Egger, Reinhold
- New Journal of Physics, Vol. 16, Issue 1
Conductance fingerprint of Majorana fermions in the topological Kondo effect
journal, January 2014
- Galpin, Martin R.; Mitchell, Andrew K.; Temaismithi, Jesada
- Physical Review B, Vol. 89, Issue 4
Non-Fermi-Liquid Manifold in a Majorana Device
journal, August 2014
- Eriksson, Erik; Mora, Christophe; Zazunov, Alex
- Physical Review Letters, Vol. 113, Issue 7
Scattering Matrix Formulation of the Topological Index of Interacting Fermions in One-Dimensional Superconductors
journal, August 2014
- Meidan, Dganit; Romito, Alessandro; Brouwer, Piet W.
- Physical Review Letters, Vol. 113, Issue 5
Topological Kondo Effect in Transport through a Superconducting Wire with Multiple Majorana End States
journal, March 2015
- Kashuba, Oleksiy; Timm, Carsten
- Physical Review Letters, Vol. 114, Issue 11
Thermodynamics of the topological Kondo model
journal, July 2015
- Buccheri, Francesco; Babujian, Hrachya; Korepin, Vladimir E.
- Nuclear Physics B, Vol. 896
From Majorana fermions to topological order
journal, June 2012
- Terhal, Barbara M.; Hassler, Fabian; DiVincenzo, David P.
- Physical Review Letters, Vol. 108, Issue 26
Majorana Fermion Surface Code for Universal Quantum Computation
journal, December 2015
- Vijay, Sagar; Hsieh, Timothy H.; Fu, Liang
- Physical Review X, Vol. 5, Issue 4
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
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
Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions
journal, June 2012
- Fidkowski, Lukasz; Alicea, Jason; Lindner, Netanel H.
- Physical Review B, Vol. 85, Issue 24
Supercurrent blockade in Josephson junctions with a Majorana wire
journal, March 2012
- Zazunov, Alex; Egger, Reinhold
- Physical Review B, Vol. 85, Issue 10
Schrieffer–Wolff transformation for quantum many-body systems
journal, October 2011
- Bravyi, Sergey; DiVincenzo, David P.; Loss, Daniel
- Annals of Physics, Vol. 326, Issue 10
Exact results in the theory of magnetic alloys
journal, January 1983
- Tsvelick, A. M.; Wiegmann, P. B.
- Advances in Physics, Vol. 32, Issue 4
Scaling and Renormalization in Statistical Physics
book, January 2015
- Cardy, John
- Cambridge University Press
Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
dataset, January 2012
- (Vincent), Mourik, V.; (Kun), Zuo, K.; (Sergey), Frolov, S. M.
- Science Magazine
Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
text, January 2009
- Fu, Liang
- arXiv
Quasiparticle relaxation of superconducting qubits in the presence of flux
text, January 2011
- Catelani, G.; Koch, Jens; Frunzio, L.
- arXiv
Schrieffer-Wolff transformation for quantum many-body systems
text, January 2011
- Bravyi, Sergey; DiVincenzo, David; Loss, Daniel
- arXiv
Coulomb blockade of Majorana fermion induced transport
text, January 2011
- Zazunov, A.; Yeyati, A. Levy; Egger, R.
- arXiv
Riding a wild horse: Majorana fermions interacting with solitons of fast bosonic fields
text, January 2011
- Tsvelik, A. M.
- arXiv
Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions
text, January 2012
- Fidkowski, L.; Alicea, J.; Lindner, N.
- arXiv
Majorana qubit decoherence by quasiparticle poisoning
text, January 2012
- Rainis, Diego; Loss, Daniel
- arXiv
Multi-Terminal Coulomb-Majorana Junction
text, January 2012
- Altland, Alexander; Egger, Reinhold
- arXiv
Transport properties of the Coulomb-Majorana junction
text, January 2013
- Zazunov, A.; Altland, A.; Egger, R.
- arXiv
Multi-channel Kondo impurity dynamics in a Majorana device
text, January 2013
- Altland, A.; Beri, B.; Egger, R.
- arXiv
Non-Fermi liquid manifold in a Majorana device
text, January 2014
- Eriksson, Erik; Mora, Christophe; Zazunov, Alex
- arXiv
Epitaxy of Semiconductor-Superconductor nanowires
text, January 2014
- Krogstrup, P.; Ziino, N. L. B.; Chang, W.
- arXiv
Majorana Fermion Surface Code for Universal Quantum Computation
text, January 2015
- Vijay, Sagar; Hsieh, Timothy H.; Fu, Liang
- arXiv
Towards realistic implementations of a Majorana surface code
text, January 2015
- Landau, L. A.; Plugge, S.; Sela, E.
- arXiv
Quasiparticle decay rate of Josephson charge qubit oscillations
text, January 2005
- Lutchyn, Roman; Glazman, Leonid; Larkin, Anatoly
- arXiv
Works referencing / citing this record:
Holographic optical traps for atom-based topological Kondo devices
journal, July 2016
- Buccheri, F.; Bruce, G. D.; Trombettoni, A.
- New Journal of Physics, Vol. 18, Issue 7
Two-channel Kondo physics in a Majorana island coupled to a Josephson junction
journal, January 2017
- Landau, L. A.; Sela, E.
- Physical Review B, Vol. 95, Issue 3
Quantum transport in coupled Majorana box systems
journal, May 2018
- Gau, Matthias; Plugge, Stephan; Egger, Reinhold
- Physical Review B, Vol. 97, Issue 18
Spin liquids from Majorana zero modes in a Cooper-pair box
journal, February 2019
- Sagi, Eran; Ebisu, Hiromi; Tanaka, Yukio
- Physical Review B, Vol. 99, Issue 7
Interplay between pairing and correlations in spin-polarized bound states
journal, January 2018
- Głodzik, Szczepan; Kobiałka, Aksel; Gorczyca-Goraj, Anna
- Beilstein Journal of Nanotechnology, Vol. 9
Many-terminal Majorana island: from Topological to Multi-Channel Kondo Model
text, January 2016
- Herviou, Loïc; Hur, Karyn Le; Mora, Christophe
- arXiv
Sensing Floquet-Majorana fermions via heat transfer
text, January 2017
- Molignini, Paolo; van Nieuwenburg, Evert; Chitra, R.
- arXiv
Spin liquids from Majorana Zero Modes in a Cooper Box
text, January 2018
- Sagi, Eran; Ebisu, Hiromi; Tanaka, Yukio
- arXiv