scholarly journals Chaos-based potentials in the one-dimensional tight-binding model probed by the inverse participation ratio

2017 ◽  
Vol 37 (4) ◽  
pp. 3995-4006
Author(s):  
Weslley Florentino de Oliveira ◽  
Giancarlo Queiroz Pellegrino
Keyword(s):  
Tight Binding ◽  
Tight Binding Model ◽  
Binding Model ◽  
Inverse Participation Ratio ◽  
One Dimensional ◽  
Participation Ratio ◽  
The One

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.

Semiconductivity of Protein: The Saxon–Hutner–Luttinger Theorem in Biopolymers

1997 ◽  
Vol 11 (24) ◽  
pp. 2941-2960
Author(s):  
Kazumoto Iguchi
Keyword(s):  
Amino Acid ◽  
Amino Acid Sequence ◽  
Tight Binding ◽  
Tight Binding Model ◽  
Transfer Matrices ◽  
Binding Model ◽  
One Dimensional ◽  
Long Time ◽  
Set Up ◽  
The One

We study semiconductivity of protein with a primary structure, where we use the transfer matrix method of the tight-binding model for electrons in a protein. We first introduce the model and the scheme for obtaining the spectrum. Second, we set up the transfer matrices in order to apply for a protein with an amino acid sequence. Third, we prove the Saxon–Hutner conjecture for the one-dimensional disordered polyatomic chains, and apply it to the protein system. We show that this theorem provides a good foundation for understanding the intriguing semiconductive character of the protein, which was first suggested by Szent–Györgyi a long time ago.

scholarly journals Strong-disorder renormalization-group study of the one-dimensional tight-binding model

2014 ◽  
Vol 90 (12) ◽  
Author(s):  
H. Javan Mard ◽  
José A. Hoyos ◽  
E. Miranda ◽  
V. Dobrosavljević
Keyword(s):  
Renormalization Group ◽  
Tight Binding ◽  
Tight Binding Model ◽  
Binding Model ◽  
One Dimensional ◽  
Strong Disorder ◽  
The One

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
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