Abstract
In Chap. 6 we studied the effect of a voltage pulse on a Josephson junction, and saw several interesting effects due principally to the unique role that the Andreev bound states play in superconducting systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
This difference was extensively studied in Ref. [2].
- 2.
We have dropped the spin index as the transport is spin independent.
- 3.
We have dropped the spin index as the transport is spin independent.
- 4.
So called because there is an Andreev reflection involved.
References
V. Mourik et al., Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices. Science 336(6084), 1003–1007 (2012)
B. Gaury, Emerging concepts in time-resolved quantum nanoelectronics, PhD thesis, UniversitT de Grenoble, Oct 2014
C.W.J. Beenakker, Random-matrix theory of quantum transport. Rev. Mod. Phys. 69(3), 731–808 (1997)
C.J. Lambert, Generalized Landauer formulae for quasi-particle transport in disordered superconductors. J. Phys. Condens. Matter 3(34), 6579–6587 (1991)
G.E. Blonder, M. Tinkham, T.M. Klapwijk, Transition from metallic to tunneling regimes in superconducting microconstrictions: excess current, charge imbalance, and supercurrent conversion. Phys. Rev. B 25(7), 4515–4532 (1982)
S. Mi et al., Proposal for the detection and braiding of Majorana fermions in a quantum spin hall insulator. Phys. Rev. B 87(24), 241405 (2013)
Y.V. Nazarov, Y.M. Blanter, Quantum transport: introduction to nanoscience (Cambridge University Press, Cambridge, UK ; New York, 2009)
H.O.H. Churchill et al., Superconductor-nanowire devices from tunneling to the multichannel regime: zero-bias oscillations and magnetoconductance crossover. Phys. Rev. B 87(24), 241401 (2013)
A. Das et al., Zero-bias peaks and splitting in an Al-InAs nanowire topological superconductor as a signature of Majorana fermions. Nat Phys 8(12), 887–895 (2012)
M.T. Deng et al., Anomalous zero-bias conductance peak in a Nb-InSb nanowire-Nb hybrid device. Nano Lett. 12(12), 6414–6419 (2012)
M.T. Deng et al., Parity independence of the zero-bias conductance peak in a nanowire based topological superconductor-quantum dot hybrid device. Sci. Rep. 4, 7261 (2014)
L.P. Rokhinson, X. Liu, J.K. Furdyna, The fractional a.c. Josephson effect in a semiconductor-superconductor nanowire as a signature of Majorana particles. Nat Phys 8(11), 795–799 (2012)
A.D.K. Finck et al., Anomalous modulation of a zero-bias peak in a hybrid nanowire-superconductor device. Phys. Rev. Lett. 110(12), 126406 (2013)
C.W.J. Beenakker, Search for Majorana fermions in superconductors. Ann. Rev. Condens. Matter Phys. 4(1), 113–136 (2013). arXiv: 1112.1950
J. Alicea, New directions in the pursuit of Majorana fermions in solid state systems. Rep. Prog. Phys. 75(7), 076501 (2012)
C.W.J. Beenakker, Random-matrix theory of Majorana fermions and topological superconductors. Rev. Mod. Phys. 87(3), 1037–1066 (2015)
M. Leijnse, K. Flensberg, Introduction to topological superconductivity and Majorana fermions. Semicond. Sci. Technol. 27(12), 124003 (2012)
T.D. Stanescu, S. Tewari, Majorana fermions in semiconductor nanowires: fundamentals, modeling, and experiment. J. Phys. Condens. Matter 25(23), 233201 (2013)
S.D. Sarma, M. Freedman, C. Nayak, Majorana zero modes and topological quantum computation. NPJ Quantum Information 1 (Oct. 2015), p. 15001
E. Majorana, Teoria simmetrica dell’elettrone e del positrone. Nuovo Cim 14(4), 171–184 (1937)
G.E. Volovik, Fermion zero modes on vortices in chiral superconductors. J. Exp. Theor. Phys. Lett. 70(9), 609–614 (1999)
T. Senthil, M.P.A. Fisher, Quasiparticle localization in superconductors with spinorbit scattering. Phys. Rev. B 61(14), 9690–9698 (2000)
N. Read, D. Green, Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect. Phys. Rev. B 61(15), 10267–10297 (2000)
A.Y. Kitaev. Unpaired Majorana fermions in quantum wires. Phys.-Usp. 44(10S), 131 (2001)
A.Y. Kitaev, Fault-tolerant quantum computation by anyons. Ann. Phys. 303(1), 2–30 (2003)
C. Nayak et al., Non-Abelian anyons and topological quantum computation. Rev. Mod. Phys. 80(3), 1083–1159 (2008)
G. Moore, N. Read, Nonabelions in the fractional quantum hall effect. Nucl. Phys. B 360(2), 362–396 (1991)
S.D. Sarma, M. Freedman, C. Nayak. Topologically protected qubits from a possible Non-Abelian fractional quantum hall state. Phys. Rev. Lett. 94(16), 166802 (2005)
Y. Oreg, G. Refael, F. von Oppen, Helical liquids and Majorana bound states in quantum wires. Phys. Rev. Lett. 105(17), 177002 (2010)
J. Alicea, Majorana fermions in a tunable semiconductor device. Phys. Rev. B 81(12), 125318 (2010)
R.M. Lutchyn, J.D. Sau, S.D. Sarma, Majorana fermions and a topological phase transition in semiconductor-superconductor heterostructures. Phys. Rev. Lett. 105(7), 077001 (2010)
J.D. Sau, et al., Generic new platform for topological quantum computation using semiconductor heterostructures. Phys. Rev. Lett. 104(4), 040502 (2010)
C.L. Kane, Superconducting proximity effect and Majorana fermions at the surface of a topological insulator. Phys. Rev. Lett. 100(9), 096407 (2008)
T.M. Klapwijk, Proximity effect from an Andreev perspective. J. Supercond. 17(5), 593–611 (2004)
K.T. Law, P.A. Lee, T.K. Ng, Majorana fermion induced resonant Andreev reflection. Phys. Rev. Lett. 103(23), 237001 (2009)
K. Flensberg, Tunneling characteristics of a chain of Majorana bound states. Phys. Rev. B 82(18), 180516 (2010)
J.D. Sau et al., Phys. Rev. B 82(21), 214509 (2010)
W. Chang et al., Tunneling spectroscopy of quasiparticle bound states in a spinful Josephson junction. Phys. Rev. Lett. 110(21), 217005 (2013)
M. Cheng et al. Interplay between Kondo and Majorana interactions in quantum dots. Phys. Rev. X 4(3), 031051 (2014)
E.J.H. Lee et al., Zero-bias anomaly in a nanowire quantum dot coupled to superconductors. Phys. Rev. Lett. 109(18), 186802 (2012)
Rok \(\check{Z}\)itko et al., Shiba states and zero-bias anomalies in the hybrid normal-superconductor Anderson model. Phys. Rev. B 91(4), 045441 (2015)
G. Kells, D. Meidan, P.W. Brouwer, Low-energy subgap states in multichannel \(p\)-wave superconducting wires. Phys. Rev. B 85(6), 060507 (2012)
J. Liu et al., Zero-bias peaks in the tunneling conductance of spin-orbit-coupled superconducting wires with and without Majorana end-states. Phys. Rev. Lett. 109(26), 267002 (2012)
R.M. Lutchyn, T.D. Stanescu, S.D. Sarma, Search for Majorana fermions in multiband semiconducting nanowires. Phys. Rev. Lett. 106(12), 127001 (2011)
D.I. Pikulin et al., A zero-voltage conductance peak from weak antilocalization in a Majorana nanowire. New J. Phys. 14(12), 125011 (2012)
G. Kells, D. Meidan, P.W. Brouwer, Near-zero-energy end states in topologically trivial spinorbit coupled superconducting nanowires with a smooth confinement. Phys. Rev. B 86(10), 100503 (2012)
M.-T. Rieder et al., Endstates in multichannel spinless \(p\)-wave superconducting wires. Phys. Rev. B 86(12), 125423 (2012)
T.D. Stanescu, T. Sumanta, Nonlocality of zero-bias anomalies in the topologically trivial phase of Majorana wires. Phys. Rev. B 89(22), 220507 (2014)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Weston, J. (2017). Manipulating Andreev and Majorana Resonances in Nanowires. In: Numerical Methods for Time-Resolved Quantum Nanoelectronics. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-63691-7_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-63691-7_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-63690-0
Online ISBN: 978-3-319-63691-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)