scholarly journals Nature of protected zero-energy states in Penrose quasicrystals

2020 ◽  
Vol 102 (6) ◽  
Author(s):  
Ezra Day-Roberts ◽  
Rafael M. Fernandes ◽  
Alex Kamenev
Keyword(s):  
Zero Energy ◽  
Energy States

Trace-map invariant and zero-energy states of the tight-binding Rudin-Shapiro model

1992 ◽  
Vol 46 (6) ◽  
pp. 3296-3304 ◽  
Author(s):  
Mihnea Dulea ◽  
Magnus Johansson ◽  
Rolf Riklund
Keyword(s):  
Tight Binding ◽  
Zero Energy ◽  
Trace Map ◽  
Energy States

scholarly journals Electronic properties and quasi-zero-energy states of graphene quantum dots

2021 ◽  
Vol 103 (23) ◽  
Author(s):  
H. V. Grushevskaya ◽  
G. G. Krylov ◽  
S. P. Kruchinin ◽  
B. Vlahovic ◽  
Stefano Bellucci
Keyword(s):  
Quantum Dots ◽  
Electronic Properties ◽  
Graphene Quantum Dots ◽  
Zero Energy ◽  
Energy States

scholarly journals Zero-energy states in corrugated bilayer graphene

2008 ◽  
Vol 77 (20) ◽  
Author(s):  
M. I. Katsnelson ◽  
M. F. Prokhorova
Keyword(s):  
Bilayer Graphene ◽  
Zero Energy ◽  
Energy States

Optical Properties of Graphene Quantum Dots with Fractionally Filled Degenerate Shell of Zero Energy States

2011 ◽  
Author(s):  
A. D. Güçlü ◽  
P. Potasz ◽  
P. Hawrylak ◽  
Jisoon Ihm ◽  
Hyeonsik Cheong
Keyword(s):  
Quantum Dots ◽  
Optical Properties ◽  
Graphene Quantum Dots ◽  
Zero Energy ◽  
Energy States

scholarly journals PT-symmetric graphene under a magnetic field

2016 ◽  
Vol 472 (2193) ◽  
pp. 20160365 ◽  
Author(s):  
Fabio Bagarello ◽  
Naomichi Hatano
Keyword(s):  
Magnetic Field ◽  
Deformation Parameter ◽  
Tight Binding ◽  
Tight Binding Model ◽  
Zero Energy ◽  
Binding Model ◽  
Energy States ◽  
The Asymmetry

We propose a P T -symmetrically deformed version of the graphene tight-binding model under a magnetic field. We analyse the structure of the spectra and the eigenvectors of the Hamiltonians around the K and K ′ points, both in the P T -symmetric and P T -broken regions. In particular, we show that the presence of the deformation parameter V produces several interesting consequences, including the asymmetry of the zero-energy states of the Hamiltonians and the breakdown of the completeness of the eigenvector sets. We also discuss the biorthogonality of the eigenvectors, which turns out to be different in the P T -symmetric and P T -broken regions.

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