Diffusion at the surface of topological insulators
We consider the dc transport properties of topological insulator surface states in the presence of uncorrelated point-like disorder, both in the classical and quantum regimes. The dc conductivity of those two-dimensional surface states depends strongly on the amplitude of the hexagonal warping of th...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2012-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/14/10/103027 |
| _version_ | 1797751736201379840 |
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| author | Pierre Adroguer David Carpentier Jérôme Cayssol Edmond Orignac |
| author_facet | Pierre Adroguer David Carpentier Jérôme Cayssol Edmond Orignac |
| author_sort | Pierre Adroguer |
| collection | DOAJ |
| description | We consider the dc transport properties of topological insulator surface states in the presence of uncorrelated point-like disorder, both in the classical and quantum regimes. The dc conductivity of those two-dimensional surface states depends strongly on the amplitude of the hexagonal warping of their Fermi surface. A perturbative analysis of the warping is shown to fail to describe the transport in Bi _2 Se _3 over a broad range of experimentally available Fermi energies, and in Bi _2 Te _3 for the higher Fermi energies. Hence we develop a fully non-perturbative description of these effects. In particular, we find that the dependence of the warping amplitude on the Fermi energy manifests itself in a strong dependence of the diffusion constant on this Fermi energy, leading to several important experimental consequences. Moreover, the combination of a strong warping with an in-plane Zeeman effect leads to an attenuation of conductance fluctuations in contrast to the situation of unwarped Dirac surface states. |
| first_indexed | 2024-03-12T16:52:56Z |
| format | Article |
| id | doaj.art-ba65fbc849dc4a178a8064b0dbc0b3e6 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:52:56Z |
| publishDate | 2012-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-ba65fbc849dc4a178a8064b0dbc0b3e62023-08-08T11:06:33ZengIOP PublishingNew Journal of Physics1367-26302012-01-01141010302710.1088/1367-2630/14/10/103027Diffusion at the surface of topological insulatorsPierre Adroguer0David Carpentier1Jérôme Cayssol2Edmond Orignac3Laboratoire de Physique, Ecole Normale Supérieure de Lyon and CNRS UMR5672, FranceLaboratoire de Physique, Ecole Normale Supérieure de Lyon and CNRS UMR5672, FranceLaboratoire Ondes et Matière d'Aquitaine, CNRS UMR5798, University Bordeaux 1 , F-33045 Talence, France; Max-Planck-Institut für Physik komplexer Systeme , 01187 Dresden, Germany; Department of Physics, University of California , Berkeley, CA 94720, USALaboratoire de Physique, Ecole Normale Supérieure de Lyon and CNRS UMR5672, FranceWe consider the dc transport properties of topological insulator surface states in the presence of uncorrelated point-like disorder, both in the classical and quantum regimes. The dc conductivity of those two-dimensional surface states depends strongly on the amplitude of the hexagonal warping of their Fermi surface. A perturbative analysis of the warping is shown to fail to describe the transport in Bi _2 Se _3 over a broad range of experimentally available Fermi energies, and in Bi _2 Te _3 for the higher Fermi energies. Hence we develop a fully non-perturbative description of these effects. In particular, we find that the dependence of the warping amplitude on the Fermi energy manifests itself in a strong dependence of the diffusion constant on this Fermi energy, leading to several important experimental consequences. Moreover, the combination of a strong warping with an in-plane Zeeman effect leads to an attenuation of conductance fluctuations in contrast to the situation of unwarped Dirac surface states.https://doi.org/10.1088/1367-2630/14/10/103027 |
| spellingShingle | Pierre Adroguer David Carpentier Jérôme Cayssol Edmond Orignac Diffusion at the surface of topological insulators New Journal of Physics |
| title | Diffusion at the surface of topological insulators |
| title_full | Diffusion at the surface of topological insulators |
| title_fullStr | Diffusion at the surface of topological insulators |
| title_full_unstemmed | Diffusion at the surface of topological insulators |
| title_short | Diffusion at the surface of topological insulators |
| title_sort | diffusion at the surface of topological insulators |
| url | https://doi.org/10.1088/1367-2630/14/10/103027 |
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