Abstract
In this paper, the authors find a family of in-gap chiral edge states in non-inverted spin-1 Dirac quantum dots, which represent a topologically trivial confinement configuration. This finding uncovers that topologically protected states can arise in condensed matter systems even without topological restriction, opening a wider avenue for applications of topological quantum states.
Highlights
A fundamental principle in the study of topological phases of matters is the bulk-edge correspondence [1,2], which states that robust interfacial modes immune to impurities or geometric perturbations can arise on the boundary between domains with distinct bulk topological invariants
The principle was originally discovered in electronic systems, but in recent years topological states and the bulk-edge correspondence have been extended to a broad range of fields in physics, from cold atoms [3], optics and photonics [4], to classical fluid and solid mechanics [5]
The results indicate that the unconventional chiral edge states without engaging any topological band inversion have a comparable level of robustness as the conventional topological states with band inversion
Summary
A fundamental principle in the study of topological phases of matters is the bulk-edge correspondence [1,2], which states that robust interfacial modes immune to impurities or geometric perturbations can arise on the boundary between domains with distinct bulk topological invariants. Quantum materials hosting a flat band, such as the magic-angle twisted bilayer graphene, have become a forefront area of research These materials can generate remarkable physical phenomena such as unconventional superconductivity [39,40], orbital ferromagnetism [41,42], and Chern insulating behavior with topological edge states. Our setting is the generic mesoscopic structure of quantum dot for massive spin-1 Dirac particles arising in materials with an energy gap. The corresponding topological invariant describes a quantum dot system with or without an inverted band alignment The former case is conventional and has been known to host topologically protected chiral edge modes in the gap [45,46]. In sharp contrast to the conventional wisdom, we find that such states can arise for spin-1 Dirac particles and are remarkably robust against geometric perturbations
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
