Electrically tunable conductance and edge modes in topological crystalline insulator thin films: minimal tight-binding model analysis
Topological crystalline insulators (TCI) have been experimentally manufactured and studied. We propose a minimal tight-binding model for thin films made of TCI on the basis of the mirror and discrete rotational symmetries. The basic term consists of the spin–orbit interaction describing a Weyl semim...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/16/6/065015 |
| _version_ | 1797751440260726784 |
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| author | Motohiko Ezawa |
| author_facet | Motohiko Ezawa |
| author_sort | Motohiko Ezawa |
| collection | DOAJ |
| description | Topological crystalline insulators (TCI) have been experimentally manufactured and studied. We propose a minimal tight-binding model for thin films made of TCI on the basis of the mirror and discrete rotational symmetries. The basic term consists of the spin–orbit interaction describing a Weyl semimetal, where gapless Dirac cones emerge at all the high-symmetry points in the momentum space. We then introduce the mass term providing gaps to Dirac cones. They simulate the thin films made of the [001], [111] and [110] TCI surfaces. TCI thin films are two-dimensional topological insulators protected by mirror symmetry. The mirror symmetry is broken by introducing an electric field ${{E}_{z}}$ perpendicular to the film. We first note that the band structure can be controlled using the electric field. We then analyze the mirror-Chern number and the edge modes taking into consideration the bulk–edge correspondence, even for ${{E}_{z}}\ne 0$ . We also calculate the conductance as a function of ${{E}_{z}}$ . We propose a multi-digit topological field-effect transistor by applying an electric field independently to the right and left edges of a nanoribbon. Our results will open up a new route to topological electronics. |
| first_indexed | 2024-03-12T16:48:33Z |
| format | Article |
| id | doaj.art-5e7ab33622e3474a9ea1f55fc5649c21 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:48:33Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-5e7ab33622e3474a9ea1f55fc5649c212023-08-08T11:26:59ZengIOP PublishingNew Journal of Physics1367-26302014-01-0116606501510.1088/1367-2630/16/6/065015Electrically tunable conductance and edge modes in topological crystalline insulator thin films: minimal tight-binding model analysisMotohiko Ezawa0Department of Applied Physics, University of Tokyo , Hongo 7-3-1, 113-8656, JapanTopological crystalline insulators (TCI) have been experimentally manufactured and studied. We propose a minimal tight-binding model for thin films made of TCI on the basis of the mirror and discrete rotational symmetries. The basic term consists of the spin–orbit interaction describing a Weyl semimetal, where gapless Dirac cones emerge at all the high-symmetry points in the momentum space. We then introduce the mass term providing gaps to Dirac cones. They simulate the thin films made of the [001], [111] and [110] TCI surfaces. TCI thin films are two-dimensional topological insulators protected by mirror symmetry. The mirror symmetry is broken by introducing an electric field ${{E}_{z}}$ perpendicular to the film. We first note that the band structure can be controlled using the electric field. We then analyze the mirror-Chern number and the edge modes taking into consideration the bulk–edge correspondence, even for ${{E}_{z}}\ne 0$ . We also calculate the conductance as a function of ${{E}_{z}}$ . We propose a multi-digit topological field-effect transistor by applying an electric field independently to the right and left edges of a nanoribbon. Our results will open up a new route to topological electronics.https://doi.org/10.1088/1367-2630/16/6/065015topological crystalline insulatormirror-Chern numbertopological insulator |
| spellingShingle | Motohiko Ezawa Electrically tunable conductance and edge modes in topological crystalline insulator thin films: minimal tight-binding model analysis New Journal of Physics topological crystalline insulator mirror-Chern number topological insulator |
| title | Electrically tunable conductance and edge modes in topological crystalline insulator thin films: minimal tight-binding model analysis |
| title_full | Electrically tunable conductance and edge modes in topological crystalline insulator thin films: minimal tight-binding model analysis |
| title_fullStr | Electrically tunable conductance and edge modes in topological crystalline insulator thin films: minimal tight-binding model analysis |
| title_full_unstemmed | Electrically tunable conductance and edge modes in topological crystalline insulator thin films: minimal tight-binding model analysis |
| title_short | Electrically tunable conductance and edge modes in topological crystalline insulator thin films: minimal tight-binding model analysis |
| title_sort | electrically tunable conductance and edge modes in topological crystalline insulator thin films minimal tight binding model analysis |
| topic | topological crystalline insulator mirror-Chern number topological insulator |
| url | https://doi.org/10.1088/1367-2630/16/6/065015 |
| work_keys_str_mv | AT motohikoezawa electricallytunableconductanceandedgemodesintopologicalcrystallineinsulatorthinfilmsminimaltightbindingmodelanalysis |