Signatures of topological ground state degeneracy in Majorana islands

Väyrynen, Jukka I.; Feiguin, Adrian E.; Lutchyn, Roman M.

doi:10.1103/PhysRevResearch.2.043228

Title: Signatures of topological ground state degeneracy in Majorana islands

Journal Article · 12 November 2020 · Physical Review Research

DOI: https://doi.org/10.1103/PhysRevResearch.2.043228 · OSTI ID:1712831

; Feiguin, Adrian E.; Lutchyn, Roman M.

Not Available

View Journal Article

Cite

Export

Save

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

Grant/Contract Number:: SC0019275

OSTI ID:: 1712831

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Journal Issue: 4 Vol. 2; ISSN PPRHAI; ISSN 2643-1564

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (55)

Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures Lutchyn, Roman M.; Sau, Jay D.; Das Sarma, S. Physical Review Letters, Vol. 105, Issue 7 https://doi.org/10.1103/PhysRevLett.105.077001	journal	August 2010
Majorana box qubits Plugge, Stephan; Rasmussen, Asbjørn; Egger, Reinhold New Journal of Physics, Vol. 19, Issue 1 https://doi.org/10.1088/1367-2630/aa54e1	journal	January 2017
Roadmap to Majorana surface codes Plugge, S.; Landau, L. A.; Sela, E. Physical Review B, Vol. 94, Issue 17 https://doi.org/10.1103/PhysRevB.94.174514	journal	November 2016
Conductance of a proximitized nanowire in the Coulomb blockade regime van Heck, B.; Lutchyn, R. M.; Glazman, L. I. Physical Review B, Vol. 93, Issue 23 https://doi.org/10.1103/PhysRevB.93.235431	journal	June 2016
Coulomb blockade of Andreev reflection in the NSN single-electron transistor Eiles, Travis M.; Devoret, Michel H.; Martinis, John M. Surface Science, Vol. 305, Issue 1-3 https://doi.org/10.1016/0039-6028(94)90949-0	journal	March 1994
Parafermionic generalization of the topological Kondo effect Snizhko, Kyrylo; Buccheri, Francesco; Egger, Reinhold Physical Review B, Vol. 97, Issue 23 https://doi.org/10.1103/PhysRevB.97.235139	journal	June 2018
A poor man's derivation of scaling laws for the Kondo problem Anderson, P. W. Journal of Physics C: Solid State Physics, Vol. 3, Issue 12 https://doi.org/10.1088/0022-3719/3/12/008	journal	December 1970
Quantum charge fluctuations in a superconducting grain Houzet, M.; Pesin, D. A.; Andreev, A. V. Physical Review B, Vol. 72, Issue 10 https://doi.org/10.1103/PhysRevB.72.104507	journal	September 2005
Bethe ansatz solution of the topological Kondo model Altland, A.; Béri, B.; Egger, R. Journal of Physics A: Mathematical and Theoretical, Vol. 47, Issue 26 https://doi.org/10.1088/1751-8113/47/26/265001	journal	June 2014
Even-odd asymmetry of a superconductor revealed by the Coulomb blockade of Andreev reflection Eiles, T. M.; Martinis, John M.; Devoret, Michel H. Physical Review Letters, Vol. 70, Issue 12 https://doi.org/10.1103/PhysRevLett.70.1862	journal	March 1993
Spectroscopy of discrete energy levels in ultrasmall metallic grains von Delft, Jan; Ralph, D. C. Physics Reports, Vol. 345, Issue 2-3 https://doi.org/10.1016/S0370-1573(00)00099-5	journal	April 2001
Radio-Frequency Methods for Majorana-Based Quantum Devices: Fast Charge Sensing and Phase-Diagram Mapping Razmadze, Davydas; Sabonis, Deividas; Malinowski, Filip K. Physical Review Applied, Vol. 11, Issue 6 https://doi.org/10.1103/PhysRevApplied.11.064011	journal	June 2019
Multiterminal Coulomb-Majorana Junction Altland, Alexander; Egger, Reinhold Physical Review Letters, Vol. 110, Issue 19 https://doi.org/10.1103/PhysRevLett.110.196401	journal	May 2013
Quantum Physics in One Dimension Giamarchi, Thierry https://doi.org/10.1093/acprof:oso/9780198525004.001.0001	book	December 2003
Quantum charge fluctuations of a proximitized nanowire Lutchyn, Roman M.; Flensberg, Karsten; Glazman, Leonid I. Physical Review B, Vol. 94, Issue 12 https://doi.org/10.1103/PhysRevB.94.125407	journal	September 2016
Charge fluctuations under the Coulomb blockade conditions Matveev, K. A. Physica B: Condensed Matter, Vol. 203, Issue 3-4 https://doi.org/10.1016/0921-4526(94)90088-4	journal	December 1994
Conductance fingerprint of Majorana fermions in the topological Kondo effect Galpin, Martin R.; Mitchell, Andrew K.; Temaismithi, Jesada Physical Review B, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevB.89.045143	journal	January 2014
Kondo effect in real metals Nozières, Ph.; Blandin, A. Journal de Physique, Vol. 41, Issue 3 https://doi.org/10.1051/jphys:01980004103019300	journal	January 1980
Coulomb blockade of two-electron tunneling Hekking, F. W. J.; Glazman, L. I.; Matveev, K. A. Physical Review Letters, Vol. 70, Issue 26 https://doi.org/10.1103/PhysRevLett.70.4138	journal	June 1993
Coulomb Blockade without Tunnel Junctions Nazarov, Yuli V. Physical Review Letters, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevLett.82.1245	journal	February 1999
Electron teleportation and statistical transmutation in multiterminal Majorana islands Michaeli, Karen; Landau, L. Aviad; Sela, Eran Physical Review B, Vol. 96, Issue 20 https://doi.org/10.1103/PhysRevB.96.205403	journal	November 2017
Majorana-Klein Hybridization in Topological Superconductor Junctions Béri, B. Physical Review Letters, Vol. 110, Issue 21 https://doi.org/10.1103/PhysRevLett.110.216803	journal	May 2013
Many-terminal Majorana island: From topological to multichannel Kondo model Herviou, Loïc; Le Hur, Karyn; Mora, Christophe Physical Review B, Vol. 94, Issue 23 https://doi.org/10.1103/PhysRevB.94.235102	journal	December 2016
Theory of one- and two-dimensional magnets with an easy magnetization plane. II. The planar, classical, two-dimensional magnet Villain, J. Journal de Physique, Vol. 36, Issue 6 https://doi.org/10.1051/jphys:01975003606058100	journal	January 1975
Theory of strong inelastic cotunneling Furusaki, A.; Matveev, K. A. Physical Review B, Vol. 52, Issue 23 https://doi.org/10.1103/PhysRevB.52.16676	journal	December 1995
Majorana zero modes in superconductor–semiconductor heterostructures Lutchyn, R. M.; Bakkers, E. P. A. M.; Kouwenhoven, L. P. Nature Reviews Materials, Vol. 3, Issue 5 https://doi.org/10.1038/s41578-018-0003-1	journal	May 2018
Topological Kondo Effect with Majorana Fermions Béri, B.; Cooper, N. R. Physical Review Letters, Vol. 109, Issue 15 https://doi.org/10.1103/PhysRevLett.109.156803	journal	October 2012
Teleportation-based quantum information processing with Majorana zero modes Vijay, Sagar; Fu, Liang Physical Review B, Vol. 94, Issue 23 https://doi.org/10.1103/PhysRevB.94.235446	journal	December 2016
Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes Karzig, Torsten; Knapp, Christina; Lutchyn, Roman M. Physical Review B, Vol. 95, Issue 23 https://doi.org/10.1103/PhysRevB.95.235305	journal	June 2017
Photon-assisted tunnelling of zero modes in a Majorana wire van Zanten, David M. T.; Sabonis, Deividas; Suter, Judith Nature Physics, Vol. 16, Issue 6 https://doi.org/10.1038/s41567-020-0858-0	journal	April 2020
Charge transport by Andreev reflection through a mesoscopic superconducting island Hergenrother, J. M.; Tuominen, M. T.; Tinkham, M. Physical Review Letters, Vol. 72, Issue 11 https://doi.org/10.1103/PhysRevLett.72.1742	journal	March 1994
Exact Nonequilibrium Transport in the Topological Kondo Effect Béri, B. Physical Review Letters, Vol. 119, Issue 2 https://doi.org/10.1103/PhysRevLett.119.027701	journal	July 2017
Exponential protection of zero modes in Majorana islands Albrecht, S. M.; Higginbotham, A. P.; Madsen, M. Nature, Vol. 531, Issue 7593 https://doi.org/10.1038/nature17162	journal	March 2016
Majorana zero modes in one-dimensional quantum wires without long-ranged superconducting order Fidkowski, Lukasz; Lutchyn, Roman M.; Nayak, Chetan Physical Review B, Vol. 84, Issue 19 https://doi.org/10.1103/PhysRevB.84.195436	journal	November 2011
Dephasing of Majorana-based qubits Knapp, Christina; Karzig, Torsten; Lutchyn, Roman M. Physical Review B, Vol. 97, Issue 12 https://doi.org/10.1103/PhysRevB.97.125404	journal	March 2018
Quantum effects in Coulomb blockade Aleiner, I. L.; Brouwer, P. W.; Glazman, L. I. Physics Reports, Vol. 358, Issue 5-6 https://doi.org/10.1016/S0370-1573(01)00063-1	journal	March 2002
Coulomb blockade in fractional topological superconductors Kim, Younghyun; Clarke, David J.; Lutchyn, Roman M. Physical Review B, Vol. 96, Issue 4 https://doi.org/10.1103/PhysRevB.96.041123	journal	July 2017
Transport through a Majorana Island in the Strong Tunneling Regime Lutchyn, Roman M.; Glazman, Leonid I. Physical Review Letters, Vol. 119, Issue 5 https://doi.org/10.1103/PhysRevLett.119.057002	journal	August 2017
Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions Fidkowski, Lukasz; Alicea, Jason; Lindner, Netanel H. Physical Review B, Vol. 85, Issue 24 https://doi.org/10.1103/PhysRevB.85.245121	journal	June 2012
Flux-induced topological superconductivity in full-shell nanowires Vaitiekėnas, S.; Winkler, G. W.; van Heck, B. Science, Vol. 367, Issue 6485 https://doi.org/10.1126/science.aav3392	journal	March 2020
Quantum Criticality in Resonant Andreev Conduction Pustilnik, M.; van Heck, B.; Lutchyn, R. M. Physical Review Letters, Vol. 119, Issue 11 https://doi.org/10.1103/PhysRevLett.119.116802	journal	September 2017
Experimental evidence for parity-based 2 e periodicity in a superconducting single-electron tunneling transistor Tuominen, M. T.; Hergenrother, J. M.; Tighe, T. S. Physical Review Letters, Vol. 69, Issue 13 https://doi.org/10.1103/PhysRevLett.69.1997	journal	September 1992
Transmission through barriers and resonant tunneling in an interacting one-dimensional electron gas Kane, C. L.; Fisher, Matthew P. A. Physical Review B, Vol. 46, Issue 23 https://doi.org/10.1103/PhysRevB.46.15233	journal	December 1992
Number-conserving analysis of measurement-based braiding with Majorana zero modes Knapp, Christina; Väyrynen, Jukka I.; Lutchyn, Roman M. Physical Review B, Vol. 101, Issue 12 https://doi.org/10.1103/PhysRevB.101.125108	journal	March 2020
Multichannel charge Kondo effect and non-Fermi-liquid fixed points in conventional and topological superconductor islands Papaj, Michał; Zhu, Zheng; Fu, Liang Physical Review B, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevB.99.014512	journal	January 2019
Helical Liquids and Majorana Bound States in Quantum Wires Oreg, Yuval; Refael, Gil; von Oppen, Felix Physical Review Letters, Vol. 105, Issue 17 https://doi.org/10.1103/PhysRevLett.105.177002	journal	October 2010
Weak charge quantization on a superconducting island Feigelman, M. V.; Kamenev, A.; Larkin, A. I. Physical Review B, Vol. 66, Issue 5 https://doi.org/10.1103/PhysRevB.66.054502	journal	August 2002
Resonant tunneling and the multichannel Kondo problem: Quantum Brownian motion description Yi, Hangmo Physical Review B, Vol. 65, Issue 19 https://doi.org/10.1103/PhysRevB.65.195101	journal	April 2002
Transport in a one-channel Luttinger liquid Kane, C. L.; Fisher, Matthew P. A. Physical Review Letters, Vol. 68, Issue 8 https://doi.org/10.1103/PhysRevLett.68.1220	journal	February 1992
Condensed Matter Field Theory Altland, Alexander; Simons, Ben D. https://doi.org/10.1017/CBO9780511789984	book	August 2010
Quantum brownian motion on a triangular lattice and boundary conformal field theory Affleck, Ian; Oshikawa, Masaki; Saleur, Hubert Nuclear Physics B, Vol. 594, Issue 3 https://doi.org/10.1016/S0550-3213(00)00499-5	journal	February 2001
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
Coulomb blockade at almost perfect transmission Matveev, K. A. Physical Review B, Vol. 51, Issue 3 https://doi.org/10.1103/PhysRevB.51.1743	journal	January 1995
Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor Fu, Liang Physical Review Letters, Vol. 104, Issue 5 https://doi.org/10.1103/PhysRevLett.104.056402	journal	February 2010
Quantum Brownian motion in a periodic potential and the multichannel Kondo problem Yi, Hangmo; Kane, C. L. Physical Review B, Vol. 57, Issue 10 https://doi.org/10.1103/PhysRevB.57.R5579	journal	March 1998

Similar Records

Spin-orbital ground states of superconducting doped topological insulators: A Majorana platform

Journal Article · 2011 · Physical Review B · OSTI ID:1099674

Wray, L. Andrew; Xu, Suyang; Xia, Yuqi; +8 more

Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance

Journal Article · 2005 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:20719161

Hastings, M B; Xiaogang, Wen

PEPS as ground states: Degeneracy and topology

Journal Article · 2010 · Annals of Physics (New York) · OSTI ID:21452957

Schuch, Norbert; Cirac, Ignacio; Perez-Garcia, David

Title: Signatures of topological ground state degeneracy in Majorana islands

Citation Formats

References (55)

Similar Records

Related Subjects