Effective Hamiltonian of Topologically Protected Qubit in a Helical Crystal

Мұқаба

Дәйексөз келтіру

Толық мәтін

Ашық рұқсат Ашық рұқсат
Рұқсат жабық Рұқсат берілді
Рұқсат жабық Тек жазылушылар үшін

Аннотация

We study a superlattice formed by tunnel-coupled identical antidots periodically situated in a two-dimensional topological insulator placed in a magnetic field. The superlattice spectrum can be controlled by gate electrodes or by changing the magnetic flux through the antidots. We demonstrate that a topologically protected qubit appears at the boundary between two regions with different fluxes. The qubit properties depend on the value of the flux jump on the boundary and can be controlled by the gate voltage. We derive the effective Hamiltonian of such a qubit and analyze the dependence of its properties on the main parameters of the superlattice: the tunnel coupling between antidots, and the probability of jumps with the spin flip.

Авторлар туралы

R. Niyazov

Petersburg Nuclear Physics Institute, National Research Center Kurchatov Institute;Ioffe Institute

Email: r.niyazov@mail.ioffe.ru
188300, Gatchina, Russia;194021, St. Petersburg, Russia

D. Aristov

Petersburg Nuclear Physics Institute, National Research Center Kurchatov Institute;Faculty of Physics, St. Petersburg State University

Email: r.niyazov@mail.ioffe.ru
188300, Gatchina, Russia;199034, St. Petersburg, Russia

V. Kachorovskiy

Ioffe Institute

Хат алмасуға жауапты Автор.
Email: r.niyazov@mail.ioffe.ru
194021, St. Petersburg, Russia

Әдебиет тізімі

  1. B. Bernevig and T. Hughes, Topological Insulators and Topological Superconductors, Princeton University Press, Princeton (2013).
  2. M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82, 3045 (2010).
  3. X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011).
  4. C. L. Kane and E. J. Mele, Phys. Rev. Lett. 95, 226801 (2005).
  5. B. A. Bernevig, T. L. Hughes, and S. C. Zhang, Science 314, 1757 (2006).
  6. M. Konig, S. Wiedmann, C. Brune, A. Roth, H. Buhmann, L. W. Molenkamp, X.-L. Qi, and S.- C. Zhang, Science 318, 766 (2007).
  7. A. Roth, C. Brune, H. Buhmann, L. W. Molenkamp, J. Maciejko, X.-L. Qi, and S.-C. Zhang, Science 325, 294 (2009).
  8. G. M. Gusev, Z. D. Kvon, O. A. Shegai, N. N. Mikhailov, S. A. Dvoretsky, and J. C. Portal, Phys. Rev. B 84, 121302 (2011).
  9. C. Brune, A. Roth, H. Buhmann, E. M. Hankiewicz, L. W. Molenkamp, J. Maciejko, X.-L. Qi, and S.- C. Zhang, Nat. Phys. 8, 485 (2012).
  10. A. Kononov, S. V. Egorov, Z. D. Kvon, N. N. Mikhailov, S. A. Dvoretsky, and E. V. Deviatov, JETP Lett. 101, 814 (2015).
  11. H. Peng, K. Lai, D. Kong, S. Meister, Y. Chen, X. L. Qi, S. C. Zhang, Z. X. Shen, and Y. Cui, Nat. Mater. 9, 225 (2010).
  12. B. C. Lin, S. Wang, L. X. Wang, C. Z. Li, J. G. Li, D. Yu, and Z. M. Liao, Phys. Rev. B 95, 235436 (2017).
  13. J. H. Bardarson, P. W. Brouwer, and J. E. Moore, Phys. Rev. Lett. 105, 156803 (2010).
  14. J. H. Bardarson and J. E. Moore, Rep. Prog. Phys. 76, 56501 (2013).
  15. G. Gusev, Z. Kvon, O. Shegai, N. Mikhailov, and S. Dvoretsky, Solid State Commun. 205, 4 (2015).
  16. P. Delplace, J. Li, and M. Buttiker, Phys. Rev. Lett. 109, 246803 (2012).
  17. F. Dolcini, Phys. Rev. B 83, 165304 (2011).
  18. R. A. Niyazov, D. N. Aristov, and V. Y. Kachorovskii, Phys. Rev. B 98, 045418 (2018).
  19. R. A. Niyazov, D. N. Aristov, and V. Y. Kachorovskii, npj Computational Materials 6, 174 (2020).
  20. R. A. Niyazov, D. N. Aristov, and V. Y. Kachorovskii, Phys. Rev. B 103, 125428 (2021).
  21. R. A. Niyazov, D. N. Aristov, and V. Y. Kachorovskii, JETP Lett. 113, 689 (2021).
  22. H. Maier, J. Ziegler, R. Fischer, D. Kozlov, Z. D. Kvon, N. Mikhailov, S. A. Dvoretsky, and D. Weiss, Nat.Commun. 8, 2023 (2017).
  23. J. Ziegler, Quantum transport in HgTe topological insulator nanostructures, Ph. D. thesis, University of Regensburg, Regensburg (2019).
  24. R. A. Niyazov, D. N. Aristov, and V. Y. Kachorovskii, (2023), Phys. Rev. B 108, 075424 (2023).
  25. B. A. Volkov and O. A. Pankratov, JETP Lett. 42, 178 (1985).
  26. J. C. Y. Teo and C. L. Kane, Phys. Rev. B 79, 235321 (2009).
  27. D. N. Aristov and R. A. Niyazov, Phys. Rev. B 94, 035429 (2016).
  28. D. N. Aristov, I. V. Gornyi, D. G. Polyakov, and P. Wolfle, Phys. Rev. B 95, 155447 (2017).
  29. J. Wang, Y. Meir, and Y. Gefen, Phys. Rev. Lett. 118, 046801 (2017).
  30. S. V. Maleyev, A. G. Yashenkin, and D. N. Aristov, Phys. Rev. B 50, 13825 (1994).
  31. V. I. Perel and D. G. Polyakov, JETP 59, 204 (1984).
  32. A. P. Dmitriev, JETP 68, 132 (1989).

Қосымша файлдар

Қосымша файлдар
Әрекет
1. JATS XML
Жүктеу

© Российская академия наук, 2023