- Letter
- Open Access
Interference and parity blockade in transport through a Majorana box
Phys. Rev. B 106, L201305 – Published 17 November, 2022
DOI: https://doi.org/10.1103/PhysRevB.106.L201305
Abstract
A Majorana box—two topological superconducting nanowires coupled via a trivial superconductor—is a building block in devices aiming to demonstrate non-Abelian physics, as well as for topological quantum computer architectures. We theoretically investigate charge transport through a Majorana box and show that current can be blocked when two Majoranas couple to the same lead, fixing their parity. In direct analogy to a Pauli spin blockade in spin qubits, this parity blockade can be used for fast and high-fidelity qubit initialization and readout, as well as for current-based measurements of decoherence times. Furthermore, we demonstrate that transport can distinguish between a clean Majorana box and a disordered box with additional unwanted Majorana or Andreev bound states.
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References (62)
- A. Y. Kitaev, Phys. Usp. 44, 131 (2001).
- C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Rev. Mod. Phys. 80, 1083 (2008).
- J. Alicea, Rep. Prog. Phys. 75, 076501 (2012).
- M. Leijnse and K. Flensberg, Semicond. Sci. Technol. 27, 124003 (2012).
- R. Aguado, Riv. Nuovo Cimento 40, 523 (2017).
- C. W. J. Beenakker, Sci-Post Phys. Lect. Notes 1, 15 (2020).
- K. Flensberg, F. von Oppen, and A. Stern, Nat. Rev. Mater. 6, 944 (2021).
- Y. Oreg, G. Refael, and F. von Oppen, Phys. Rev. Lett. 105, 177002 (2010).
- R. M. Lutchyn, J. D. Sau, and S. Das Sarma, Phys. Rev. Lett. 105, 077001 (2010).
- V. Mourik, K. Zuo, S. M. Frolov, S. R. Plissard, E. P. A. M. Bakkers, and L. P. Kouwenhoven, Science 336, 1003 (2012).
- M. T. Deng, C. L. Yu, G. Y. Huang, M. Larsson, P. Caroff, and H. Q. Xu, Nano Lett. 12, 6414 (2012).
- A. D. K. Finck, D. J. Van Harlingen, P. K. Mohseni, K. Jung, and X. Li, Phys. Rev. Lett. 110, 126406 (2013).
- M. T. Deng, S. Vaitiekėnas, E. B. Hansen, J. Danon, M. Leijnse, K. Flensberg, J. Nygård, P. Krogstrup, and C. M. Marcus, Science 354, 1557 (2016).
- F. Nichele, A. C. C. Drachmann, A. M. Whiticar, E. C. T. O'Farrell, H. J. Suominen, A. Fornieri, T. Wang, G. C. Gardner, C. Thomas, A. T. Hatke, P. Krogstrup, M. J. Manfra, K. Flensberg, and C. M. Marcus, Phys. Rev. Lett. 119, 136803 (2017).
- R. M. Lutchyn, E. P. Bakkers, L. P. Kouwenhoven, P. Krogstrup, C. M. Marcus, and Y. Oreg, Nat. Rev. Mater. 3, 52 (2018).
- E. Prada, P. San-Jose, and R. Aguado, Phys. Rev. B 86, 180503(R) (2012).
- G. Kells, D. Meidan, and P. W. Brouwer, Phys. Rev. B 86, 100503(R) (2012).
- C. Moore, C. Zeng, T. D. Stanescu, and S. Tewari, Phys. Rev. B 98, 155314 (2018).
- C. Reeg, O. Dmytruk, D. Chevallier, D. Loss, and J. Klinovaja, Phys. Rev. B 98, 245407 (2018).
- O. A. Awoga, J. Cayao, and A. M. Black-Schaffer, Phys. Rev. Lett. 123, 117001 (2019).
- A. Vuik, B. Nijholt, A. R. Akhmerov, and M. Wimmer, SciPost Phys. 7, 061 (2019).
- H. Pan and S. Das Sarma, Phys. Rev. Res. 2, 013377 (2020).
- E. Prada, P. San-Jose, M. W. A. de Moor, A. Geresdi, E. J. H. Lee, J. Klinovaja, D. Loss, J. Nygård, R. Aguado, and L. P. Kouwenhoven, Nat. Rev. Phys. 2, 575 (2020).
- R. Hess, H. F. Legg, D. Loss, and J. Klinovaja, Phys. Rev. B 104, 075405 (2021).
- P. Bonderson, M. Freedman, and C. Nayak, Phys. Rev. Lett. 101, 010501 (2008).
- S. Vijay, T. H. Hsieh, and L. Fu, Phys. Rev. X 5, 041038 (2015).
- L. A. Landau, S. Plugge, E. Sela, A. Altland, S. M. Albrecht, and R. Egger, Phys. Rev. Lett. 116, 050501 (2016).
- S. Plugge, L. A. Landau, E. Sela, A. Altland, K. Flensberg, and R. Egger, Phys. Rev. B 94, 174514 (2016).
- T. Karzig, C. Knapp, R. M. Lutchyn, P. Bonderson, M. B. Hastings, C. Nayak, J. Alicea, K. Flensberg, S. Plugge, Y. Oreg, C. M. Marcus, and M. H. Freedman, Phys. Rev. B 95, 235305 (2017).
- S. Plugge, A. Rasmussen, R. Egger, and K. Flensberg, New J. Phys. 19, 012001 (2017).
- M. I. K. Munk, J. Schulenborg, R. Egger, and K. Flensberg, Phys. Rev. Res. 2, 033254 (2020).
- J. F. Steiner and F. von Oppen, Phys. Rev. Res. 2, 033255 (2020).
- T. B. Smith, M. C. Cassidy, D. J. Reilly, S. D. Bartlett, and A. L. Grimsmo, PRX Quantum 1, 020313 (2020).
- J. Schulenborg, M. Burrello, M. Leijnse, and K. Flensberg, Phys. Rev. B 103, 245407 (2021).
- L. Fu, Phys. Rev. Lett. 104, 056402 (2010).
- B. Béri and N. R. Cooper, Phys. Rev. Lett. 109, 156803 (2012).
- M. R. Galpin, A. K. Mitchell, J. Temaismithi, D. E. Logan, B. Béri, and N. R. Cooper, Phys. Rev. B 89, 045143 (2014).
- E. Eriksson, C. Mora, A. Zazunov, and R. Egger, Phys. Rev. Lett. 113, 076404 (2014).
- F. Buccheri and R. Egger, in Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory, edited by A. Ferraz, K. S. Gupta, G. W. Semenoff, and P. Sodano (Springer, Cham, 2020), pp. 131–153.
- B. Béri, Phys. Rev. Lett. 110, 216803 (2013).
- A. Altland and R. Egger, Phys. Rev. Lett. 110, 196401 (2013).
- L. Herviou, K. Le Hur, and C. Mora, Phys. Rev. B 94, 235102 (2016).
- K. Michaeli, L. A. Landau, E. Sela, and L. Fu, Phys. Rev. B 96, 205403 (2017).
- M. Gau, S. Plugge, and R. Egger, Phys. Rev. B 97, 184506 (2018).
- J. I. Väyrynen, A. E. Feiguin, and R. M. Lutchyn, Phys. Rev. Res. 2, 043228 (2020).
- K. Ono, D. G. Austing, Y. Tokura, and S. Tarucha, Science 297, 1313 (2002).
- R. Hanson, L. P. Kouwenhoven, J. R. Petta, S. Tarucha, and L. M. K. Vandersypen, Rev. Mod. Phys. 79, 1217 (2007).
- M. Kjaergaard, K. Wölms, and K. Flensberg, Phys. Rev. B 85, 020503(R) (2012).
- G. Kiršanskas, J. N. Pedersen, O. Karlström, M. Leijnse, and A. Wacker, Comput. Phys. Commun. 221, 317 (2017).
- J. König, H. Schoeller, and G. Schön, Phys. Rev. Lett. 78, 4482 (1997).
- M. Leijnse and M. R. Wegewijs, Phys. Rev. B 78, 235424 (2008).
- H. Schoeller, Eur. Phys. J.: Spec. Top. 168, 179 (2009).
- F. Nathan and M. S. Rudner, Phys. Rev. B 102, 115109 (2020).
- G. Kiršanskas, M. Franckié, and A. Wacker, Phys. Rev. B 97, 035432 (2018).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.106.L201305 for an analytical derivation of the main results in this Letter, which includes Refs. [60, 61, 62].
- L. P. Kouwenhoven, D. G. Austing, and S. Tarucha, Rep. Prog. Phys. 64, 701 (2001).
- J. Danon and Y. V. Nazarov, Phys. Rev. B 80, 041301(R) (2009).
- H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, UK, 2002).
- K. Ptaszyński and M. Esposito, Phys. Rev. Lett. 122, 150603 (2019).
- D. E. Evans, Commun. Math. Phys. 54, 293 (1977).
- D. E. Evans and H. Hanche-Olsen, J. Funct. Anal. 32, 207 (1979).
- D. Manzano, AIP Adv. 10, 025106 (2020).