Magnetic-field-induced Fabry-Pérot resonances in helical edge states

Physical Review B - Condensed Matter and Materials Physics

Volumn 86, Issue 12, 2012, Pages

  Soori, Abhiram ^a   Das, Sourin ^b   Rao, Sumathi ^c  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b UNIVERSITY OF DELHI   (India)

^c HARISH CHANDRA RESEARCH INSTITUTE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84866425347     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.86.125312     Document Type: Article

References (35)

1. C. L. Kane and E. J. Mele, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.226801 95, 226801 (2005); (Pubitemid 41776999)
2. C. L. Kane and E. J. Mele, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.95.146802 95, 146802 (2006);
3. B. A. Bernevig, T. L. Hughes, and S. C. Zhang, Science SCIEAS 0036-8075 10.1126/science.1133734 314, 1757 (2006); (Pubitemid 44969083)
4. M. Buttiker, Science SCIEAS 0036-8075 10.1126/science.1177157 325, 278 (2009);
5. M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.3045 82, 3045 (2010);
6. X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.1057 83, 1057 (2011).
7. C. Wu, B. A. Bernevig, and S. C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.106401 96, 106401 (2006);
8. C.-Y. Hou, E.-A. Kim, and C. Chamon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.076602 102, 076602 (2009);
9. J. Maciejko, C. Liu, Y. Oreg, X.-L. Qi, C. Wu, and S. C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.256803 102, 256803 (2009);
10. A. Ström and H. Johannesson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.096806 102, 096806 (2009);
11. A. Bermudez, D. Patane, L. Amico, and M. A. Martin-Delgado, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.135702 102, 135702 (2009);
12. J. E. Moore, Nature (London) NATUAS 0028-0836 10.1038/nature08916 464, 194 (2010);
13. N. Goldman, I. Satija, P. Nikolic, A. Bermudez, M. A. Martin-Delgado, M. Lewenstein, and I. B. Spielman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.255302 105, 255302 (2010);
14. R. Egger, A. Zazunov, and A. Levy Yeyati, Phys. Rev. Lett. 10.1103/PhysRevLett.105.136403 105, 136403 (2010);
15. P. Virtanen and P. Recher, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.115322 83, 115332 (2011).
16. M. König, H. Buhmann, L. W. Molenkamp, T. L. Hughes, C.-X. Liu, X.-L. Qi, and S.-C. Zhang, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.77.031007 77, 031007 (2008);
17. M. König, S. Wiedmann, C. Brüne, A. Roth, H. Buhmann, L. Molenkamp, X.-L. Qi, and S.-C. Zhang, Science SCIEAS 0036-8075 10.1126/science.1148047 318, 766 (2007). (Pubitemid 351411764)
18. J. Maciejko, E.-A. Kim, and X.-L. Qi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.195409 82, 195409 (2010).
19. G. Tkachov and E. M. Hankiewicz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.166803 104, 166803 (2010).
20. J. C. Budich, F. Dolcini, P. Recher, and B. Trauzettel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.086602 108, 086602 (2012).
21. A. V. Parafilo, I. V. Krive, E. N. Bogachek, U. Landman, R. I. Shekhter, and M. Jonson, Low Temp. Phys. LTPHEG 1063-777X 10.1063/1.3518334 36, 959 (2010);
22. A. V. Parafilo, I. V. Krive, E. N. Bogachek, U. Landman, R. I. Shekhter, and M. Jonson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.045427 83, 045427 (2011).
23. S. Mondal, D. Sen, K. Sengupta, and R. Shankar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.046403 104, 046403 (2010).
24. S. Das and S. Rao, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 106.236403 106, 236403 (2011);
25. K.A.Saha, S. Das, K. Sengupta, and D. Sen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.165439 84, 165439 (2011).
26. C. Brüne, A. Roth, H. Buhmann, E. M. Hankiewicz, L. W. Molenkamp, J. Maciejko, X.-L. Qi, and S.-C. Zhang, Nat. Phys. 1745-2473 10.1038/nphys2322 8, 486 (2012).
27. Z symmetry. A more complete treatment is under preparation.
28. M. Kharitonov, arXiv: 1004.0194.
29. S. Datta and B. Das, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.102730 56, 665 (1990).
30. For HgTe, g ∼ 50 [M. V. Yakunin, S. M. Podgornykh, N. N. Mikhailov, and S. A. Dvoretsky, Physica E PELNFM 1386-9477 10.1016/j.physe.2009.11.068 42, 948 (2010)] and bulk-gap ∼ 0.02 eV (X.-L. Qi in Ref.).
31. In HgTe quantum wells, the inelastic mean free path has been reported to be around 1 μ m (Ref.).
32. A more detailed analysis of disorder is under preparation.
33. R. J. Epstein, I. Malajovich, R. K. Kawakami, Y. Chye, M. Hanson, P. M. Petroff, A. C. Gossard, and D. D. Awschalom, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.121202 65, 121202 (R) (2002).
34. V. Uhlir, J. Vogel, N. Rougemaille, O. Fruchart, Z. Ishaque, V. Cros, J. Camarero, J. C. Cezar, F. Sirotti, and S. Pizzini, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/24/2/024213 24, 024213 (2012).
35. Z.-H. Pan, E. Vescovo, A. V. Fedorov, D. Gardner, Y. S. Lee, S. Chu, G. D. Gu, and T. Valla, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106. 257004 106, 257004 (2011).