Anomalous chiral edge states in spin-1 Dirac quantum dots

We uncover an unexpected family of in-gap chiral edge states in noninverted spin-1 Dirac quantum dots. The system represents a topologically trivial confinement configuration where such edge states are not expected according to the conventional wisdom. In particular, for a massive type of confining...

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Main Authors: Hong-Ya Xu, Ying-Cheng Lai
Format: Article
Language:English
Published: American Physical Society 2020-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.013062
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author Hong-Ya Xu
Ying-Cheng Lai
author_facet Hong-Ya Xu
Ying-Cheng Lai
author_sort Hong-Ya Xu
collection DOAJ
description We uncover an unexpected family of in-gap chiral edge states in noninverted spin-1 Dirac quantum dots. The system represents a topologically trivial confinement configuration where such edge states are not expected according to the conventional wisdom. In particular, for a massive type of confining potential, two distinct situations can arise: with or without mass sign change, corresponding to a quantum dot with or without band inversion, respectively. The former case is conventional, where topologically protected chiral edge modes can arise in the gap. For the latter, contrary to the belief that there should be no one-way current-carrying edge channels, we find the surprising emergence of such edge states and the spin-1 analog of Majorana modes. These states are strikingly robust and immune to backscattering. In the presence of a magnetic field, the edge states result in peculiar Fock-Darwin states originated from Landau-level confinement. The unexpected phenomenon is also validated in systems with bulk-topology regularization through (1) a properly regularized continuum model and (2) an experimentally accessible tight-binding dice lattice system.
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spelling doaj.art-c965b01d259c4cd9bfde89e5f514f53e2024-04-12T16:48:52ZengAmerican Physical SocietyPhysical Review Research2643-15642020-01-012101306210.1103/PhysRevResearch.2.013062Anomalous chiral edge states in spin-1 Dirac quantum dotsHong-Ya XuYing-Cheng LaiWe uncover an unexpected family of in-gap chiral edge states in noninverted spin-1 Dirac quantum dots. The system represents a topologically trivial confinement configuration where such edge states are not expected according to the conventional wisdom. In particular, for a massive type of confining potential, two distinct situations can arise: with or without mass sign change, corresponding to a quantum dot with or without band inversion, respectively. The former case is conventional, where topologically protected chiral edge modes can arise in the gap. For the latter, contrary to the belief that there should be no one-way current-carrying edge channels, we find the surprising emergence of such edge states and the spin-1 analog of Majorana modes. These states are strikingly robust and immune to backscattering. In the presence of a magnetic field, the edge states result in peculiar Fock-Darwin states originated from Landau-level confinement. The unexpected phenomenon is also validated in systems with bulk-topology regularization through (1) a properly regularized continuum model and (2) an experimentally accessible tight-binding dice lattice system.http://doi.org/10.1103/PhysRevResearch.2.013062
spellingShingle Hong-Ya Xu
Ying-Cheng Lai
Anomalous chiral edge states in spin-1 Dirac quantum dots
Physical Review Research
title Anomalous chiral edge states in spin-1 Dirac quantum dots
title_full Anomalous chiral edge states in spin-1 Dirac quantum dots
title_fullStr Anomalous chiral edge states in spin-1 Dirac quantum dots
title_full_unstemmed Anomalous chiral edge states in spin-1 Dirac quantum dots
title_short Anomalous chiral edge states in spin-1 Dirac quantum dots
title_sort anomalous chiral edge states in spin 1 dirac quantum dots
url http://doi.org/10.1103/PhysRevResearch.2.013062
work_keys_str_mv AT hongyaxu anomalouschiraledgestatesinspin1diracquantumdots
AT yingchenglai anomalouschiraledgestatesinspin1diracquantumdots