scholarly journals Topological reduction of tight-binding models on branched networks

2002 ◽  
Vol 65 (5) ◽  
Author(s):  
P. Buonsante ◽  
R. Burioni ◽  
D. Cassi
Keyword(s):  
Tight Binding ◽  
Binding Models

scholarly journals Dynamical transitions in aperiodically kicked tight-binding models

2021 ◽  
Vol 103 (13) ◽  
Author(s):  
Vikram Ravindranath ◽  
M. S. Santhanam
Keyword(s):  
Tight Binding ◽  
Binding Models

Beyond two-center tight binding: Models for Mg and Zr

2020 ◽  
Vol 4 (11) ◽  
Author(s):  
R. M. Fogarty ◽  
J. Smutna ◽  
M. R. Wenman ◽  
A. P. Horsfield
Keyword(s):  
Tight Binding ◽  
Binding Models

scholarly journals Spectrum and diffusion for a class of tight-binding models on hypercubes

1999 ◽  
Vol 32 (12) ◽  
pp. 2361-2367 ◽  
Author(s):  
Julien Vidal ◽  
Rémy Mosseri ◽  
Jean Bellissard
Keyword(s):  
Tight Binding ◽  
Binding Models ◽  
And Diffusion

Structural stability of silicon in tight-binding models

1987 ◽  
Vol 20 (14) ◽  
pp. L263-L269 ◽  
Author(s):  
A T Paxton ◽  
A P Sutton ◽  
C M M Nex
Keyword(s):  
Structural Stability ◽  
Tight Binding ◽  
Binding Models

scholarly journals Localized Wannier function based tight-binding models for two-dimensional allotropes of bismuth

2021 ◽  
Author(s):  
Qile Li ◽  
Jackson S Smith ◽  
Yuefeng Yin ◽  
Chutian Wang ◽  
Mykhailo V Klymenko ◽  
...  
Keyword(s):  
Tight Binding ◽  
Wannier Function ◽  
Two Dimensional ◽  
Binding Models

scholarly journals Coarse-grained tight-binding models

2021 ◽  
Author(s):  
Tianxiang Liu ◽  
Li Mao ◽  
Mats-Erik Pistol ◽  
Craig Pryor
Keyword(s):  
Quantum Well ◽  
Computing Time ◽  
Numerical Test ◽  
Tight Binding ◽  
Computation Time ◽  
Coarse Grained ◽  
Weakly Bound ◽  
Trade Offs ◽  
Full Calculation ◽  
Binding Models

Abstract Calculating the electronic structure of systems involving very different length scales presents a challenge. Empirical atomistic descriptions such as pseudopotentials or tight-binding models allow one to calculate the effects of atomic placements, but the computational burden increases rapidly with the size of the system, limiting the ability to treat weakly bound extended electronic states. Here we propose a new method to connect atomistic and quasi-continuous models, thus speeding up tight-binding calculations for large systems. We divide a structure into blocks consisting of several unit cells which we diagonalize individually. We then construct a tight-binding Hamiltonian for the full structure using a truncated basis for the blocks, ignoring states having large energy eigenvalues and retaining states with an energy close to the band edge energies. A numerical test using a GaAs/AlAs quantum well shows the computation time can be decreased to less than 5% of the full calculation with errors of less than 1%. We give data for the trade-offs between computing time and loss of accuracy. We also tested calculations of the density of states for a GaAs/AlAs quantum well and find a ten times speedup without much loss in accuracy.

scholarly journals Exact master equations for driven dissipative tight-binding models

1996 ◽  
Vol 53 (3) ◽  
pp. R2033-R2036 ◽  
Author(s):  
Milena Grifoni ◽  
Maura Sassetti ◽  
Ulrich Weiss
Keyword(s):  
Tight Binding ◽  
Master Equations ◽  
Binding Models

scholarly journals The impossibility of exactly flat non-trivial Chern bands in strictly local periodic tight binding models

2014 ◽  
Vol 47 (15) ◽  
pp. 152001 ◽  
Author(s):  
Li Chen ◽  
Tahereh Mazaheri ◽  
Alexander Seidel ◽  
Xiang Tang
Keyword(s):  
Tight Binding ◽  
Binding Models
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