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Dufouleur J, Veyrat L, Dassonneville B, Xypakis E, Bardarson JH, Nowka C, Hampel S, Schumann J, Eichler B, Schmidt OG, Büchner B, Giraud R. Weakly-coupled quasi-1D helical modes in disordered 3D topological insulator quantum wires. Sci Rep 2017; 7:45276. [PMID: 28374744 PMCID: PMC5379752 DOI: 10.1038/srep45276] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/22/2016] [Accepted: 02/23/2017] [Indexed: 11/12/2022] Open
Abstract
Disorder remains a key limitation in the search for robust signatures of topological superconductivity in condensed matter. Whereas clean semiconducting quantum wires gave promising results discussed in terms of Majorana bound states, disorder makes the interpretation more complex. Quantum wires of 3D topological insulators offer a serious alternative due to their perfectly-transmitted mode. An important aspect to consider is the mixing of quasi-1D surface modes due to the strong degree of disorder typical for such materials. Here, we reveal that the energy broadening γ of such modes is much smaller than their energy spacing Δ, an unusual result for highly-disordered mesoscopic nanostructures. This is evidenced by non-universal conductance fluctuations in highly-doped and disordered Bi2Se3 and Bi2Te3 nanowires. Theory shows that such a unique behavior is specific to spin-helical Dirac fermions with strong quantum confinement, which retain ballistic properties over an unusually large energy scale due to their spin texture. Our result confirms their potential to investigate topological superconductivity without ambiguity despite strong disorder.
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Affiliation(s)
- J Dufouleur
- Leibniz Institute for Solid State and Materials Research, IFW Dresden, D-01069 Dresden, Germany
| | - L Veyrat
- Leibniz Institute for Solid State and Materials Research, IFW Dresden, D-01069 Dresden, Germany
| | - B Dassonneville
- Leibniz Institute for Solid State and Materials Research, IFW Dresden, D-01069 Dresden, Germany
| | - E Xypakis
- Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Straße 38, D-01187 Dresden, Germany
| | - J H Bardarson
- Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Straße 38, D-01187 Dresden, Germany
| | - C Nowka
- Leibniz Institute for Solid State and Materials Research, IFW Dresden, D-01069 Dresden, Germany
| | - S Hampel
- Leibniz Institute for Solid State and Materials Research, IFW Dresden, D-01069 Dresden, Germany
| | - J Schumann
- Leibniz Institute for Solid State and Materials Research, IFW Dresden, D-01069 Dresden, Germany
| | - B Eichler
- Leibniz Institute for Solid State and Materials Research, IFW Dresden, D-01069 Dresden, Germany
| | - O G Schmidt
- Leibniz Institute for Solid State and Materials Research, IFW Dresden, D-01069 Dresden, Germany
| | - B Büchner
- Leibniz Institute for Solid State and Materials Research, IFW Dresden, D-01069 Dresden, Germany.,Department of Physics, TU Dresden, D-01062 Dresden, Germany
| | - R Giraud
- Leibniz Institute for Solid State and Materials Research, IFW Dresden, D-01069 Dresden, Germany.,INAC-SPINTEC, Univ. Grenoble Alpes/CNRS/CEA, 17 Avenue des Martyrs, F-38054 Grenoble, France
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Dufouleur J, Veyrat L, Dassonneville B, Nowka C, Hampel S, Leksin P, Eichler B, Schmidt OG, Büchner B, Giraud R. Correction to Enhanced Mobility of Spin-Helical Dirac Fermions in Disordered 3D Topological Insulators. Nano Lett 2017; 17:597. [PMID: 28009173 DOI: 10.1021/acs.nanolett.6b05051] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
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Dufouleur J, Veyrat L, Dassonneville B, Nowka C, Hampel S, Leksin P, Eichler B, Schmidt OG, Büchner B, Giraud R. Enhanced Mobility of Spin-Helical Dirac Fermions in Disordered 3D Topological Insulators. Nano Lett 2016; 16:6733-6737. [PMID: 27706936 DOI: 10.1021/acs.nanolett.6b02060] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
The transport length ltr and the mean free path le are determined for bulk and surface states in a Bi2Se3 nanoribbon by quantum transport and transconductance measurements. We show that the anisotropic scattering of spin-helical Dirac fermions results in a strong enhancement of ltr (≈ 200 nm) and of the related mobility μtr (≈ 4000 cm2 V-1 s-1), which confirms theoretical predictions.1 Despite strong disorder, the long-range nature of the scattering potential gives a large ratio ltr/le ≈ 8, likely limited by bulk/surface coupling. This suggests that the spin-flip length lsf ≈ ltr could reach the micron size in materials with a reduced bulk doping and paves the way for building functionalized spintronic and ballistic electronic devices out of disordered 3D topological insulators.
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Affiliation(s)
| | - Louis Veyrat
- IFW Dresden , P.O. Box 270116, D-01171 Dresden, Germany
| | | | | | - Silke Hampel
- IFW Dresden , P.O. Box 270116, D-01171 Dresden, Germany
| | - Pavel Leksin
- IFW Dresden , P.O. Box 270116, D-01171 Dresden, Germany
| | | | | | - Bernd Büchner
- IFW Dresden , P.O. Box 270116, D-01171 Dresden, Germany
| | - Romain Giraud
- IFW Dresden , P.O. Box 270116, D-01171 Dresden, Germany
- INAC-SPINTEC, Univ. Grenoble Alpes/CNRS/CEA , 17 Avenue des Martyrs, 38054 Grenoble, France
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Veyrat L, Iacovella F, Dufouleur J, Nowka C, Funke H, Yang M, Escoffier W, Goiran M, Eichler B, Schmidt OG, Büchner B, Hampel S, Giraud R. Band Bending Inversion in Bi2Se3 Nanostructures. Nano Lett 2015; 15:7503-7507. [PMID: 26479681 DOI: 10.1021/acs.nanolett.5b03124] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
Shubnikov-de Haas oscillations were studied under high magnetic field in Bi2Se3 nanostructures grown by chemical vapor transport, for different bulk carrier densities ranging from 3 × 10(19) cm(-3) to 6 × 10(17) cm(-3). The contribution of topological surface states to electrical transport can be identified and separated from bulk carriers and massive two-dimensional electron gas. Band bending is investigated, and a crossover from upward to downward band bending is found at low bulk density as a result of a competition between bulk and interface doping. These results highlight the need to control electrical doping both in the bulk and at interfaces in order to study only topological surface states.
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Affiliation(s)
- Louis Veyrat
- IFW-Dresden , Institute for Solid State Research, PF 270116, D-01171 Dresden, Germany
| | - Fabrice Iacovella
- Laboratoire National des Champs Magnétiques Intenses (LNCMI-EMFL), UPR 3228, CNRS-UJF-UPS-INSA, 143 Avenue de Rangueil, 31400 Toulouse, France
- Foundation for Research and Technology, IESL, PO Box 1385, 71110 Heraklion, Crete, Greece
- Department of Physics, University of Crete , 70013 Crete, Greece
| | - Joseph Dufouleur
- IFW-Dresden , Institute for Solid State Research, PF 270116, D-01171 Dresden, Germany
| | - Christian Nowka
- IFW-Dresden , Institute for Solid State Research, PF 270116, D-01171 Dresden, Germany
| | - Hannes Funke
- IFW-Dresden , Institute for Solid State Research, PF 270116, D-01171 Dresden, Germany
| | - Ming Yang
- IFW-Dresden , Institute for Solid State Research, PF 270116, D-01171 Dresden, Germany
| | - Walter Escoffier
- Laboratoire National des Champs Magnétiques Intenses (LNCMI-EMFL), UPR 3228, CNRS-UJF-UPS-INSA, 143 Avenue de Rangueil, 31400 Toulouse, France
| | - Michel Goiran
- Laboratoire National des Champs Magnétiques Intenses (LNCMI-EMFL), UPR 3228, CNRS-UJF-UPS-INSA, 143 Avenue de Rangueil, 31400 Toulouse, France
| | - Barbara Eichler
- IFW-Dresden , Institute for Solid State Research, PF 270116, D-01171 Dresden, Germany
| | - Oliver G Schmidt
- IFW-Dresden , Institute for Solid State Research, PF 270116, D-01171 Dresden, Germany
| | - Bernd Büchner
- IFW-Dresden , Institute for Solid State Research, PF 270116, D-01171 Dresden, Germany
| | - Silke Hampel
- IFW-Dresden , Institute for Solid State Research, PF 270116, D-01171 Dresden, Germany
| | - Romain Giraud
- IFW-Dresden , Institute for Solid State Research, PF 270116, D-01171 Dresden, Germany
- CNRS-Laboratoire de Photonique et Nanostructures , 91460 Marcoussis, France
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Dufouleur J, Veyrat L, Teichgräber A, Neuhaus S, Nowka C, Hampel S, Cayssol J, Schumann J, Eichler B, Schmidt OG, Büchner B, Giraud R. Quasiballistic transport of Dirac fermions in a Bi2Se3 nanowire. Phys Rev Lett 2013; 110:186806. [PMID: 23683235 DOI: 10.1103/physrevlett.110.186806] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/14/2012] [Revised: 03/20/2013] [Indexed: 06/02/2023]
Abstract
Quantum coherent transport of surface states in a mesoscopic nanowire of the three-dimensional topological insulator Bi(2}Se(3) is studied in the weak-disorder limit. At very low temperatures, many harmonics are evidenced in the Fourier transform of Aharonov-Bohm oscillations, revealing the long phase coherence length of spin-chiral Dirac fermions. Remarkably, from their exponential temperature dependence, we infer an unusual 1/T power law for the phase coherence length L(φ)(T). This decoherence is typical for quasiballistic fermions weakly coupled to their environment.
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Affiliation(s)
- J Dufouleur
- Leibniz Institute for Solid State and Materials Research, IFW Dresden, D-01069 Dresden, Germany.
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