Article ; Online: Physical Properties of an Aperiodic Monotile with Graphene-like Features, Chirality, and Zero Modes.
2024 Volume 132, Issue 8, Page(s) 86402
Abstract: The discovery of the Hat, an aperiodic monotile, has revealed novel mathematical aspects of aperiodic tilings. However, the physics of particles propagating in such a setting remains unexplored. In this work we study spectral and transport properties of ... ...
Abstract | The discovery of the Hat, an aperiodic monotile, has revealed novel mathematical aspects of aperiodic tilings. However, the physics of particles propagating in such a setting remains unexplored. In this work we study spectral and transport properties of a tight-binding model defined on the Hat. We find that (i) the spectral function displays striking similarities to that of graphene, including sixfold symmetry and Dirac-like features; (ii) unlike graphene, the monotile spectral function is chiral, differing for its two enantiomers; (iii) the spectrum has a macroscopic number of degenerate states at zero energy; (iv) when the magnetic flux per plaquette (ϕ) is half of the flux quantum, zero modes are found localized around the reflected "anti-hats"; and (v) its Hofstadter spectrum is periodic in ϕ, unlike for other quasicrystals. Our work serves as a basis to study wave and electron propagation in possible experimental realizations of the Hat, which we suggest. |
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Language | English |
Publishing date | 2024-03-08 |
Publishing country | United States |
Document type | Journal Article |
ZDB-ID | 208853-8 |
ISSN | 1079-7114 ; 0031-9007 |
ISSN (online) | 1079-7114 |
ISSN | 0031-9007 |
DOI | 10.1103/PhysRevLett.132.086402 |
Database | MEDical Literature Analysis and Retrieval System OnLINE |
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