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Charge and Spin Currents in Nanoscale Topological Insulators

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Electronic and Magnetic Excitations in Correlated and Topological Materials

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Abstract

Topological insulators (TIs) have generated sustained interest for nearly a decade.

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References

  1. M.Z. Hasan, C.L. Kane, Colloquium: topological insulators. Rev. Mod. Phys. 82(4), 3045–3067 (2010)

    Article  ADS  Google Scholar 

  2. X.-L. Qi, S.-C. Zhang, Topological insulators and superconductors. Rev. Mod. Phys. 83(4), 1057–1110 (2011)

    Article  ADS  Google Scholar 

  3. A. Altland, M.R. Zirnbauer, Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures. Phys. Rev. B 55(2), 1142–1161 (1997)

    Article  ADS  Google Scholar 

  4. S. Ryu, A.P. Schnyder, A. Furusaki, A.W.W. Ludwig, Topological insulators and superconductors: tenfold way and dimensional hierarchy. New J. Phys. 12(6), 065010 (2010)

    Article  ADS  Google Scholar 

  5. C.L. Kane, E.J. Mele, Z 2 topological order and the quantum spin hall effect. Phys. Rev. Lett. 95(14), 146802 (2005)

    Google Scholar 

  6. L.V. Keldysh, Diagram technique for nonequilibrium processes. Zh. Eksp. Teor. Fiz. 47, 1515 (1964). [Sov. Phys. J. Exp. Theor. Phys. 20, 1018 (1965)]

    Google Scholar 

  7. C. Caroli, R. Combescot, P. Nozieres, D. Saint-James, Direct calculation of the tunneling current. J. Phys. C Solid State Phys. 4(8), 916 (1971)

    Article  ADS  Google Scholar 

  8. J.S. Van Dyke, D.K. Morr, Controlling the flow of spin and charge in nanoscopic topological insulators. Phys. Rev. B 93(8), 081401 (2016)

    Google Scholar 

  9. K. Chang, W.-K. Lou, Helical quantum states in HgTe quantum dots with inverted band structures. Phys. Rev. Lett. 106(20), 206802 (2011)

    Google Scholar 

  10. T. Can, H. Dai, D.K. Morr, Current eigenmodes and dephasing in nanoscopic quantum networks. Phys. Rev. B 85(19), 195459 (2012)

    Google Scholar 

  11. E. Prada, G. Metalidis, Transport through quantum spin Hall insulator/metal junctions in graphene ribbons. J. Comput. Electron. 12(2), 63–75 (2012)

    Article  Google Scholar 

  12. C. Wu, B.A. Bernevig, S.-C. Zhang, Helical liquid and the edge of quantum spin hall systems. Phys. Rev. Lett. 96(10), 106401 (2006)

    Google Scholar 

  13. J. Maciejko, C. Liu, Y. Oreg, X.-L. Qi, C. Wu, S.-C. Zhang, Kondo effect in the helical edge liquid of the quantum spin hall state. Phys. Rev. Lett. 102(25), 256803 (2009)

    Google Scholar 

  14. E. Rossi, D.K. Morr, Spatially dependent Kondo effect in quantum corrals. Phys. Rev. Lett. 97(23), 236602 (2006)

    Google Scholar 

  15. D. Rugar, R. Budakian, H.J. Mamin, B.W. Chui, Single spin detection by magnetic resonance force microscopy. Nature 430(6997), 329–332 (2004)

    Article  ADS  Google Scholar 

  16. A. Dankert, J. Geurs, M.V. Kamalakar, S. Charpentier, S.P. Dash, Room temperature electrical detection of spin polarized currents in topological insulators. Nano Lett. 15(12), 7976–7981 (2015)

    Article  ADS  Google Scholar 

  17. Y.L. Chen, J.-H. Chu, J.G. Analytis, Z.K. Liu, K. Igarashi, H.-H. Kuo, X.L. Qi, S.K. Mo, R.G. Moore, D.H. Lu, M. Hashimoto, T. Sasagawa, S.C. Zhang, I.R. Fisher, Z. Hussain, Z.X. Shen, Massive Dirac fermion on the surface of a magnetically doped topological insulator. Science 329(5992), 659–662 (2010)

    Article  ADS  Google Scholar 

  18. K.C. Nowack, E.M. Spanton, M. Baenninger, M. König, J.R. Kirtley, B. Kalisky, C. Ames, P. Leubner, C. Brüne, H. Buhmann, L.W. Molenkamp, D. Goldhaber-Gordon, K.A. Moler, Imaging currents in HgTe quantum wells in the quantum spin Hall regime. Nat. Mater. 12(9), 787–791 (2013)

    Article  ADS  Google Scholar 

  19. G. Deutscher, Point contact spectroscopy in strongly correlated systems, in Strongly correlated systems, ed. by A. Avella, F. Mancini. Springer Series in Solid-State Sciences, vol. 180 (Springer, Berlin, 2015), pp. 111–135. https://doi.org/10.1007/978-3-662-44133-6_4

    Google Scholar 

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Van Dyke, J.S. (2018). Charge and Spin Currents in Nanoscale Topological Insulators. In: Electronic and Magnetic Excitations in Correlated and Topological Materials. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-89938-1_6

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