Semiclassical asymptotic approximations and the density of states for the two-dimensional radially symmetric Schrödinger and Dirac equations in tunnel microscopy problems

2016 ◽  
Vol 186 (3) ◽  
pp. 333-345 ◽  
Author(s):  
J. Brüning ◽  
S. Yu. Dobrokhotov ◽  
M. I. Katsnelson ◽  
D. S. Minenkov
Keyword(s):  
Density Of States ◽  
Asymptotic Approximations ◽  
Two Dimensional ◽  
Dirac Equations ◽  
Tunnel Microscopy

Density of states for the two-dimensional, simple-square Anderson model

1981 ◽  
Vol 24 (10) ◽  
pp. 6156-6157 ◽  
Author(s):  
Wei-Min Hu ◽  
Shang-Yuan Ren ◽  
John D. Dow
Keyword(s):  
Density Of States ◽  
Anderson Model ◽  
Two Dimensional

Density of states due to donor-pair molecules in three- and two-dimensional semiconductor systems

1992 ◽  
Vol 41 (3) ◽  
pp. 517-524
Author(s):  
E. A. Guimar�es Costa ◽  
F. De Brito Mota ◽  
A. Ferreira Da Silva
Keyword(s):  
Density Of States ◽  
Two Dimensional

GAP-LABELING PROPERTIES OF THE ENERGY SPECTRUM FOR TWO-DIMENSIONAL FIBONACCI QUASILATTICES

1995 ◽  
Vol 09 (01) ◽  
pp. 55-66
Author(s):  
YOUYAN LIU ◽  
WICHIT SRITRAKOOL ◽  
XIUJUN FU
Keyword(s):  
Energy Spectrum ◽  
Density Of States ◽  
Energy Gap ◽  
Fractional Part ◽  
Numerical Results ◽  
Step Height ◽  
Integrated Density Of States ◽  
Two Dimensional

We have analytically obtained the occupation probabilities on subbands of the hierarchical energy spectrum and the step heights of the integrated density of states for two-dimensional Fibonacci quasilattices. Based on the above results, the gap-labeling properties of the energy spectrum are found, which claim that the step height is equal to {mτ}, where the braces denote the fractional part, and m is an integer that can be used to label the corresponding energy gap. Numerical results confirm these results very well.

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