Wireless Majorana Bound States: From Magnetic Tunability to Braiding

Fatin, Geoffrey L.; Matos-Abiague, Alex; Scharf, Benedikt; Žutić, Igor

doi:10.1103/PhysRevLett.117.077002

Title: Wireless Majorana Bound States: From Magnetic Tunability to Braiding

Journal Article · Fri Aug 12 00:00:00 EDT 2016 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.117.077002· OSTI ID:1294686

Fatin, Geoffrey L.; Matos-Abiague, Alex; Scharf, Benedikt; Žutić, Igor

View Accepted Manuscript (Publisher)

Cite

Export

Save

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

Grant/Contract Number:: SC0004890

OSTI ID:: 1294686

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Vol. 117 Journal Issue: 7; ISSN 0031-9007

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 49 works

Citation information provided by
Web of Science

References (73)

Tunnel conductance spectroscopy via harmonic generation in a hybrid capacitor device Appelbaum, Ian Applied Physics Letters, Vol. 103, Issue 12 https://doi.org/10.1063/1.4821748	journal	September 2013
Magnetic-field instability of Majorana modes in multiband semiconductor wires Lim, Jong Soo; Serra, Llorenç; López, Rosa Physical Review B, Vol. 86, Issue 12 https://doi.org/10.1103/PhysRevB.86.121103	journal	September 2012
Detecting Majorana modes in one-dimensional wires by charge sensing Ben-Shach, Gilad; Haim, Arbel; Appelbaum, Ian Physical Review B, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevB.91.045403	journal	January 2015
Adiabatic manipulations of Majorana fermions in a three-dimensional network of quantum wires Halperin, Bertrand I.; Oreg, Yuval; Stern, Ady Physical Review B, Vol. 85, Issue 14 https://doi.org/10.1103/PhysRevB.85.144501	journal	April 2012
Lateral imaging of the superconducting vortex lattice using Doppler-modulated scanning tunneling microscopy Fridman, I.; Kloc, C.; Petrovic, C. Applied Physics Letters, Vol. 99, Issue 19 https://doi.org/10.1063/1.3659412	journal	November 2011
Effects of electron scattering on the topological properties of nanowires: Majorana fermions from disorder and superlattices Adagideli, İ.; Wimmer, M.; Teker, A. Physical Review B, Vol. 89, Issue 14 https://doi.org/10.1103/PhysRevB.89.144506	journal	April 2014
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
Midgap edge states and pairing symmetry of quasi-one-dimensional organic superconductors Sengupta, K.; Žutić, Igor; Kwon, Hyok-Jon Physical Review B, Vol. 63, Issue 14 https://doi.org/10.1103/PhysRevB.63.144531	journal	March 2001
Majorana's wires Franz, Marcel Nature Nanotechnology, Vol. 8, Issue 3 https://doi.org/10.1038/nnano.2013.33	journal	March 2013
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
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
Giant Spin-Orbit Interaction Due to Rotating Magnetic Fields in Graphene Nanoribbons Klinovaja, Jelena; Loss, Daniel Physical Review X, Vol. 3, Issue 1 https://doi.org/10.1103/PhysRevX.3.011008	journal	January 2013
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
Subtle leakage of a Majorana mode into a quantum dot Vernek, E.; Penteado, P. H.; Seridonio, A. C. Physical Review B, Vol. 89, Issue 16 https://doi.org/10.1103/PhysRevB.89.165314	journal	April 2014
Controlling non-Abelian statistics of Majorana fermions in semiconductor nanowires Sau, Jay D.; Clarke, David J.; Tewari, Sumanta Physical Review B, Vol. 84, Issue 9 https://doi.org/10.1103/PhysRevB.84.094505	journal	September 2011
Zero-Bias Peaks in the Tunneling Conductance of Spin-Orbit-Coupled Superconducting Wires with and without Majorana End-States Liu, Jie; Potter, Andrew C.; Law, K. T. Physical Review Letters, Vol. 109, Issue 26 https://doi.org/10.1103/PhysRevLett.109.267002	journal	December 2012
Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures Sau, Jay D.; Lutchyn, Roman M.; Tewari, Sumanta Physical Review Letters, Vol. 104, Issue 4 https://doi.org/10.1103/PhysRevLett.104.040502	journal	January 2010
Non-Abelian statistics and topological quantum information processing in 1D wire networks Alicea, Jason; Oreg, Yuval; Refael, Gil Nature Physics, Vol. 7, Issue 5 https://doi.org/10.1038/nphys1915	journal	February 2011
Topological superconducting phase in helical Shiba chains Pientka, Falko; Glazman, Leonid I.; von Oppen, Felix Physical Review B, Vol. 88, Issue 15 https://doi.org/10.1103/PhysRevB.88.155420	journal	October 2013
Topological Kondo Effect in Transport through a Superconducting Wire with Multiple Majorana End States Kashuba, Oleksiy; Timm, Carsten Physical Review Letters, Vol. 114, Issue 11 https://doi.org/10.1103/PhysRevLett.114.116801	journal	March 2015
Spin-helical transport in normal and superconducting topological insulators Tkachov, G.; Hankiewicz, E. M. physica status solidi (b), Vol. 250, Issue 2 https://doi.org/10.1002/pssb.201248385	journal	January 2013
Anomalous Modulation of a Zero-Bias Peak in a Hybrid Nanowire-Superconductor Device Finck, A. D. K.; Van Harlingen, D. J.; Mohseni, P. K. Physical Review Letters, Vol. 110, Issue 12 https://doi.org/10.1103/PhysRevLett.110.126406	journal	March 2013
Ultrahigh field electron cyclotron resonance absorption in ${In}_{1 - x} {Mn}_{x} As$ films Zudov, M. A.; Kono, J.; Matsuda, Y. H. Physical Review B, Vol. 66, Issue 16 https://doi.org/10.1103/PhysRevB.66.161307	journal	October 2002
Topics in Matrix Analysis Horn, Roger A.; Johnson, Charles R. https://doi.org/10.1017/CBO9780511840371	book	March 2011
Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions Rainis, Diego; Trifunovic, Luka; Klinovaja, Jelena Physical Review B, Vol. 87, Issue 2 https://doi.org/10.1103/PhysRevB.87.024515	journal	January 2013
Majorana fermions in superconducting nanowires without spin-orbit coupling Kjaergaard, Morten; Wölms, Konrad; Flensberg, Karsten Physical Review B, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevB.85.020503	journal	January 2012
Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement Kells, G.; Meidan, D.; Brouwer, P. W. Physical Review B, Vol. 86, Issue 10 https://doi.org/10.1103/PhysRevB.86.100503	journal	September 2012
Spintronics: Fundamentals and applications Žutić, Igor; Fabian, Jaroslav; Das Sarma, S. Reviews of Modern Physics, Vol. 76, Issue 2 https://doi.org/10.1103/RevModPhys.76.323	journal	April 2004
Strong Localization of Majorana End States in Chains of Magnetic Adatoms Peng, Yang; Pientka, Falko; Glazman, Leonid I. Physical Review Letters, Vol. 114, Issue 10 https://doi.org/10.1103/PhysRevLett.114.106801	journal	March 2015
Interaction effects in topological superconducting wires supporting Majorana fermions Stoudenmire, E. M.; Alicea, Jason; Starykh, Oleg A. Physical Review B, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevB.84.014503	journal	July 2011
Mutual friction in superfluid ${}^{3}{He}$ : Effects of bound states in the vortex core Kopnin, N. B.; Salomaa, M. M. Physical Review B, Vol. 44, Issue 17 https://doi.org/10.1103/PhysRevB.44.9667	journal	November 1991
Andreev levels spectroscopy of topological three-terminal junctions Valentini, Stefano; Fazio, Rosario; Taddei, Fabio Physical Review B, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevB.89.014509	journal	January 2014
Non-Abelian Statistics of Half-Quantum Vortices in $p$ -Wave Superconductors Ivanov, D. A. Physical Review Letters, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevLett.86.268	journal	January 2001
Anomalous Zero-Bias Conductance Peak in a Nb–InSb Nanowire–Nb Hybrid Device Deng, M. T.; Yu, C. L.; Huang, G. Y. Nano Letters, Vol. 12, Issue 12 https://doi.org/10.1021/nl303758w	journal	February 2012
Spin-resolved Andreev levels and parity crossings in hybrid superconductor–semiconductor nanostructures Lee, Eduardo J. H.; Jiang, Xiaocheng; Houzet, Manuel Nature Nanotechnology, Vol. 9, Issue 1 https://doi.org/10.1038/nnano.2013.267	journal	December 2013
Introduction to topological superconductivity and Majorana fermions Leijnse, Martin; Flensberg, Karsten Semiconductor Science and Technology, Vol. 27, Issue 12 https://doi.org/10.1088/0268-1242/27/12/124003	journal	November 2012
Tunneling between Two Helical Superconductors via Majorana Edge Channels Asano, Yasuhiro; Tanaka, Yukio; Nagaosa, Naoto Physical Review Letters, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevLett.105.056402	journal	July 2010
Probing Majorana-like states in quantum dots and quantum rings Scharf, Benedikt; Žutić, Igor Physical Review B, Vol. 91, Issue 14 https://doi.org/10.1103/PhysRevB.91.144505	journal	April 2015
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
Andreev reflection from noncentrosymmetric superconductors and Majorana bound-state generation in half-metallic ferromagnets Duckheim, Mathias; Brouwer, Piet W. Physical Review B, Vol. 83, Issue 5 https://doi.org/10.1103/PhysRevB.83.054513	journal	February 2011
Momentum-space imaging of Cooper pairing in a half-Dirac-gas topological superconductor Xu, Su-Yang; Alidoust, Nasser; Belopolski, Ilya Nature Physics, Vol. 10, Issue 12 https://doi.org/10.1038/nphys3139	journal	November 2014
Topologically trivial zero-bias conductance peak in semiconductor Majorana wires from boundary effects Roy, Dibyendu; Bondyopadhaya, Nilanjan; Tewari, Sumanta Physical Review B, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevB.88.020502	journal	July 2013
Spin-Transistor Action via Tunable Landau-Zener Transitions Betthausen, C.; Dollinger, T.; Saarikoski, H. Science, Vol. 337, Issue 6092 https://doi.org/10.1126/science.1221350	journal	July 2012
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
Search for Majorana Fermions in Superconductors Beenakker, C. W. J. Annual Review of Condensed Matter Physics, Vol. 4, Issue 1 https://doi.org/10.1146/annurev-conmatphys-030212-184337	journal	April 2013
Spin Transfer of Quantum Information between Majorana Modes and a Resonator Kovalev, Alexey A.; De, Amrit; Shtengel, Kirill Physical Review Letters, Vol. 112, Issue 10 https://doi.org/10.1103/PhysRevLett.112.106402	journal	March 2014
Topological Superconductivity and Majorana Fermions in RKKY Systems Klinovaja, Jelena; Stano, Peter; Yazdani, Ali Physical Review Letters, Vol. 111, Issue 18 https://doi.org/10.1103/PhysRevLett.111.186805	journal	November 2013
Localization of Fractionally Charged Quasi-Particles Martin, J. Science, Vol. 305, Issue 5686 https://doi.org/10.1126/science.1099950	journal	August 2004
Zero-bias conductance peak in Majorana wires made of semiconductor/superconductor hybrid structures Lin, Chien-Hung; Sau, Jay D.; Das Sarma, S. Physical Review B, Vol. 86, Issue 22 https://doi.org/10.1103/PhysRevB.86.224511	journal	December 2012
Control and braiding of Majorana fermions bound to magnetic domain walls Kim, Se Kwon; Tewari, Sumanta; Tserkovnyak, Yaroslav Physical Review B, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevB.92.020412	journal	July 2015
Non-Abelian anyons and topological quantum computation Nayak, Chetan; Simon, Steven H.; Stern, Ady Reviews of Modern Physics, Vol. 80, Issue 3 https://doi.org/10.1103/RevModPhys.80.1083	journal	September 2008
Phase-Sensitive Tests of the Pairing State Symmetry in ${Sr}_{2} {RuO}_{4}$ Žutić, Igor; Mazin, Igor Physical Review Letters, Vol. 95, Issue 21 https://doi.org/10.1103/PhysRevLett.95.217004	journal	November 2005
Fault-tolerant quantum computation by anyons Kitaev, A. Yu. Annals of Physics, Vol. 303, Issue 1 https://doi.org/10.1016/S0003-4916(02)00018-0	journal	January 2003
Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect Read, N.; Green, Dmitry Physical Review B, Vol. 61, Issue 15 https://doi.org/10.1103/PhysRevB.61.10267	journal	April 2000
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator Fu, Liang; Kane, C. L. Physical Review Letters, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevLett.100.096407	journal	March 2008
Multichannel Generalization of Kitaev’s Majorana End States and a Practical Route to Realize Them in Thin Films Potter, Andrew C.; Lee, Patrick A. Physical Review Letters, Vol. 105, Issue 22 https://doi.org/10.1103/PhysRevLett.105.227003	journal	November 2010
Transport spectroscopy of $N S$ nanowire junctions with Majorana fermions Prada, Elsa; San-Jose, Pablo; Aguado, Ramón Physical Review B, Vol. 86, Issue 18 https://doi.org/10.1103/PhysRevB.86.180503	journal	November 2012
The fractional a.c. Josephson effect in a semiconductor–superconductor nanowire as a signature of Majorana particles Rokhinson, Leonid P.; Liu, Xinyu; Furdyna, Jacek K. Nature Physics, Vol. 8, Issue 11 https://doi.org/10.1038/nphys2429	journal	September 2012
Class $D$ Spectral Peak in Majorana Quantum Wires Bagrets, Dmitry; Altland, Alexander Physical Review Letters, Vol. 109, Issue 22 https://doi.org/10.1103/PhysRevLett.109.227005	journal	November 2012
Majorana fermions in a tunable semiconductor device Alicea, Jason Physical Review B, Vol. 81, Issue 12 https://doi.org/10.1103/PhysRevB.81.125318	journal	March 2010
Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor Nadj-Perge, S.; Drozdov, I. K.; Li, J. Science, Vol. 346, Issue 6209 https://doi.org/10.1126/science.1259327	journal	October 2014
Majorana Bound States and Nonlocal Spin Correlations in a Quantum Wire on an Unconventional Superconductor Nakosai, Sho; Budich, Jan Carl; Tanaka, Yukio Physical Review Letters, Vol. 110, Issue 11 https://doi.org/10.1103/PhysRevLett.110.117002	journal	March 2013
Zero-bias peaks and splitting in an Al–InAs nanowire topological superconductor as a signature of Majorana fermions Das, Anindya; Ronen, Yuval; Most, Yonatan Nature Physics, Vol. 8, Issue 12 https://doi.org/10.1038/nphys2479	journal	November 2012
The superconductivity of ${Sr}_{2} {RuO}_{4}$ and the physics of spin-triplet pairing Mackenzie, Andrew Peter; Maeno, Yoshiteru Reviews of Modern Physics, Vol. 75, Issue 2 https://doi.org/10.1103/RevModPhys.75.657	journal	May 2003
Splitting of the zero-bias conductance peak as smoking gun evidence for the existence of the Majorana mode in a superconductor-semiconductor nanowire Das Sarma, S.; Sau, Jay D.; Stanescu, Tudor D. Physical Review B, Vol. 86, Issue 22 https://doi.org/10.1103/PhysRevB.86.220506	journal	December 2012
Mayavi: 3D Visualization of Scientific Data Ramachandran, Prabhu; Varoquaux, Gael Computing in Science & Engineering, Vol. 13, Issue 2 https://doi.org/10.1109/MCSE.2011.35	journal	March 2011
Non-Abelian quantum order in spin-orbit-coupled semiconductors: Search for topological Majorana particles in solid-state systems Sau, Jay D.; Tewari, Sumanta; Lutchyn, Roman M. Physical Review B, Vol. 82, Issue 21 https://doi.org/10.1103/PhysRevB.82.214509	journal	December 2010
Majorana Edge States in Interacting One-Dimensional Systems Gangadharaiah, Suhas; Braunecker, Bernd; Simon, Pascal Physical Review Letters, Vol. 107, Issue 3 https://doi.org/10.1103/PhysRevLett.107.036801	journal	July 2011
Semiconductor spintronics Fabian, Jaroslav; Matos-Abiague, Alex; Ertler, Christian Acta Physica Slovaca. Reviews and Tutorials, Vol. 57, Issue 4-5 https://doi.org/10.2478/v10155-010-0086-8	journal	August 2007
Majorana returns Wilczek, Frank Nature Physics, Vol. 5, Issue 9 https://doi.org/10.1038/nphys1380	journal	September 2009
The microscopic nature of localization in the quantum Hall effect Ilani, S.; Martin, J.; Teitelbaum, E. Nature, Vol. 427, Issue 6972 https://doi.org/10.1038/nature02230	journal	January 2004
Two-dimensional epitaxial superconductor-semiconductor heterostructures: A platform for topological superconducting networks Shabani, J.; Kjaergaard, M.; Suominen, H. J. Physical Review B, Vol. 93, Issue 15 https://doi.org/10.1103/PhysRevB.93.155402	journal	April 2016
Majorana fermion exchange in quasi-one-dimensional networks Clarke, David J.; Sau, Jay D.; Tewari, Sumanta Physical Review B, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevB.84.035120	journal	July 2011

Similar Records

Tunable magnetic textures: From Majorana bound states to braiding

Journal Article · Tue Aug 01 00:00:00 EDT 2017 · Solid State Communications · OSTI ID:1294686

Matos-Abiague, Alex; Shabani, Javad; Kent, Andrew D.; +3 more

Control and braiding of Majorana fermions bound to magnetic domain walls

Journal Article · Tue Jul 21 00:00:00 EDT 2015 · Physical Review B · OSTI ID:1294686

Kim, Se Kwon; Tewari, Sumanta; Tserkovnyak, Yaroslav

Tunable transport through a quantum dot chain with side-coupled Majorana bound states

Journal Article · Sun Sep 14 00:00:00 EDT 2014 · Journal of Applied Physics · OSTI ID:1294686

Jiang, Cui; Lu, Gang; Gong, Wei-Jiang

Title: Wireless Majorana Bound States: From Magnetic Tunability to Braiding

Citation Formats

References (73)

Similar Records

Related Subjects