scholarly journals Photon-assisted electron transport in graphene: Scattering theory analysis

2007 ◽  
Vol 75 (3) ◽  
Author(s):  
B. Trauzettel ◽  
Ya. M. Blanter ◽  
A. F. Morpurgo
Keyword(s):  
Electron Transport ◽  
Scattering Theory ◽  
Theory Analysis

scholarly journals Scattering theory of photon-assisted electron transport

1998 ◽  
Vol 58 (19) ◽  
pp. 12993-13006 ◽  
Author(s):  
Morten Holm Pedersen ◽  
Markus Büttiker
Keyword(s):  
Electron Transport ◽  
Scattering Theory

Eigenvalue problem for tridiagonal matrices arising in the scattering-theory analysis of disordered conductors

1992 ◽  
Vol 70 (4) ◽  
pp. 257-267 ◽  
Author(s):  
Josef A. Zuk
Keyword(s):  
Eigenvalue Problem ◽  
Scattering Theory ◽  
Perturbation Expansion ◽  
Approximate Solutions ◽  
Theory Analysis ◽  
Tridiagonal Matrices ◽  
Finite Matrix ◽  
Special Cases ◽  
Exactly Solvable ◽  
Qualitative Characteristics

The eigenvalue problem for a family of tridiagonal matrices arising in the scattering-theory analysis of the conductance in mesoscopic systems, and its fluctuations, is studied. The exactly solvable special cases are identified. For the general problem, qualitative characteristics of the spectrum are established, and approximate solutions for the eigenvalues are constructed. These comprise ones that are valid in the limit of large but finite matrix dimension, and those derived from a perturbation expansion around each of the exactly solvable cases.

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