{ "id": "1910.07863", "version": "v1", "published": "2019-10-17T12:45:59.000Z", "updated": "2019-10-17T12:45:59.000Z", "title": "Quantum confinement of the Dirac surface states in topological-insulator nanowires", "authors": [ "Felix Münning", "Oliver Breunig", "Henry F. Legg", "Stefan Roitsch", "Dingxun Fan", "Matthias Rößler", "Achim Rosch", "Yoichi Ando" ], "comment": "7 pages main text, 6 pages supplemental material", "categories": [ "cond-mat.mes-hall", "cond-mat.mtrl-sci", "cond-mat.str-el" ], "abstract": "The non-trivial topology of the three-dimensional (3D) topological insulator (TI) dictates the appearance of gapless Dirac surface states. Intriguingly, when a 3D TI is made into a nanowire, a gap opens at the Dirac point due to the quantum confinement, leading to a peculiar Dirac sub-band structure. This gap is useful for, e.g., future Majorana qubits based on TIs. Furthermore, these Dirac sub-bands can be manipulated by a magnetic flux and are an ideal platform for generating stable Majorana zero modes (MZMs), which play a key role in topological quantum computing. However, direct evidence for the Dirac sub-bands in TI nanowires has not been reported so far. Here we show that by growing very thin ($\\sim$40-nm diameter) nanowires of the bulk-insulating topological insulator (Bi$_{1-x}$Sb$_x$)$_2$Te$_3$ and by tuning its chemical potential across the Dirac point with gating, one can unambiguously identify the Dirac sub-band structure. Specifically, the resistance measured on gate-tunable four-terminal devices was found to present non-equidistant peaks as a function of the gate voltage, which we theoretically show to be the unique signature of the quantum-confined Dirac surface states. These TI nanowires open the way to address the topological mesoscopic physics, and eventually the Majorana physics when proximitised by an $s$-wave superconductor.", "revisions": [ { "version": "v1", "updated": "2019-10-17T12:45:59.000Z" } ], "analyses": { "keywords": [ "dirac surface states", "quantum confinement", "topological-insulator nanowires", "stable majorana zero modes", "ti nanowires" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }