scholarly journals Optoelectronic properties of one-dimensional molecular chains simulated by a tight-binding model

AIP Advances ◽  
2021 ◽  
Vol 11 (1) ◽  
pp. 015127
Author(s):  
Qiuyuan Chen ◽  
Jiawei Chang ◽  
Lin Ma ◽  
Chenghan Li ◽  
Liangfei Duan ◽  
...  
Keyword(s):  
Tight Binding ◽  
Optoelectronic Properties ◽  
Tight Binding Model ◽  
Binding Model ◽  
One Dimensional

scholarly journals A minimal tight-binding model for the quasi-one-dimensional superconductor K2Cr3As3

2019 ◽  
Vol 21 (6) ◽  
pp. 063027 ◽  
Author(s):  
Giuseppe Cuono ◽  
Carmine Autieri ◽  
Filomena Forte ◽  
Maria Teresa Mercaldo ◽  
Alfonso Romano ◽  
...  
Keyword(s):  
Tight Binding ◽  
Tight Binding Model ◽  
Binding Model ◽  
One Dimensional

scholarly journals Localization properties of a one-dimensional tight-binding model with nonrandom long-range intersite interactions

2005 ◽  
Vol 71 (17) ◽  
Author(s):  
F. A. B. F. de Moura ◽  
A. V. Malyshev ◽  
M. L. Lyra ◽  
V. A. Malyshev ◽  
F. Domínguez-Adame
Keyword(s):  
Long Range ◽  
Tight Binding ◽  
Tight Binding Model ◽  
Binding Model ◽  
One Dimensional

THE THUE-MORSE APERIODIC CRYSTAL, A LINK BETWEEN THE FIBONACCI QUASICRYSTAL AND THE PERIODIC CRYSTAL

1987 ◽  
Vol 01 (01) ◽  
pp. 121-132 ◽  
Author(s):  
ROLF RIKLUND ◽  
MATTIAS SEVERIN ◽  
YOUYAN LIU
Keyword(s):  
Tight Binding ◽  
Model System ◽  
Periodic Systems ◽  
Unified Theory ◽  
Tight Binding Model ◽  
Binding Model ◽  
One Dimensional ◽  
Aperiodic Crystals ◽  
Hierarchical Splitting ◽  
Periodic Crystal

The electronic spectrum and eigenstates of a one-dimensional aperiodic Thue-Morse crystal isstudied with an on-site tight-binding model. The relation between the constructing elements andthe hierarchical splitting of the bands into subbands is analysed. The eigenstates are shown to be much more similar to those of a periodic crystal than those of a Fibonacci quasicrystal. We thus claim that the Thue-Morse aperiodic crystal is a link between the Fibonacci quasicrystal and theperiodic crystal, and that the study of non-Fibonaccian aperiodic crystals is a promising steptowards the desired unified theory of disordered, aperiodic and periodic systems. Since the experimentally studied MBE-grown aperiodic crystals typically has 5% fluctuation in layer thickness, we also investigate the density of states and eigenstates for a model system withfluctuating site-energies.

scholarly journals Conditions for fully gapped topological superconductivity in topological insulator nanowires

2019 ◽  
Vol 6 (5) ◽  
Author(s):  
Fernando de Juan ◽  
Jens H Bardarson ◽  
Roni Ilan
Keyword(s):  
Topological Insulator ◽  
Continuum Model ◽  
Rotational Symmetry ◽  
Tight Binding ◽  
Majorana Fermions ◽  
Tight Binding Model ◽  
Binding Model ◽  
One Dimensional ◽  
Topological Superconductors ◽  
The One

Among the different platforms to engineer Majorana fermions in one-dimensional topological superconductors, topological insulator nanowires remain a promising option. Threading an odd number of flux quanta through these wires induces an odd number of surface channels, which can then be gapped with proximity induced pairing. Because of the flux and depending on energetics, the phase of this surface pairing may or may not wind around the wire in the form of a vortex. Here we show that for wires with discrete rotational symmetry, this vortex is necessary to produce a fully gapped topological superconductor with localized Majorana end states. Without a vortex the proximitized wire remains gapless, and it is only if the symmetry is broken by disorder that a gap develops, which is much smaller than the one obtained with a vortex. These results are explained with the help of a continuum model and validated numerically with a tight binding model, and highlight the benefit of a vortex for reliable use of Majorana fermions in this platform.

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