Green's Function of an Electron in a Quantum Wire Subjected to Magnetic Fields

1994 ◽  
Vol 63 (1) ◽  
pp. 367-368 ◽  
Author(s):  
Tsuyoshi Ueta
Keyword(s):  
Magnetic Fields ◽  
Green’S Function ◽  
Green's Function ◽  
Quantum Wire

Simulation of Thermionic Emission From a Quantum Wire Using the Non-Equilibrium Green’s Function Method

2004 ◽  
Author(s):  
Yang Liu ◽  
Hassan Raza ◽  
Timothy S. Fisher
Keyword(s):  
Energy Conversion ◽  
Green’S Function ◽  
Work Function ◽  
Green's Function ◽  
Quantum Wire ◽  
Bulk Material ◽  
Thermionic Emission ◽  
Theoretical Development ◽  
Non Equilibrium Green’S Function ◽  
Non Equilibrium

Even though the theory of thermionic emission of electrons from bulk metals is well understood, discrete electron energy states exist when material length scales approach one nanometer, and the traditional treatment must be revised. This paper presents a theoretical development of thermionic emission from nanoscale materials. A general expression for the emitted current as a function of field, temperature and work function is established for a quantum wire. The results differ from those of 3-D bulk materials. Simulation of thermionic emission from a quantum wire is achieved with the non-equilibrium Green’s function (NEGF) method, which includes relevant mesocopic physics and has been widely applied to transport problems in nanostructures. The NEGF approach provides a powerful solution to modeling problems when interfacial transport effects between bulk and confined conductors are important. Both the theoretical and simulated results indicate a higher current density and thus higher energy conversion capacity than that of a bulk material with the same work function. Thus the quantum confined materials may provide a method for improving the capacity of direct energy conversion devices and systems.

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