Article | REF: NM400 V1

Quantum transport simulation

Authors: François TRIOZON, Stephan ROCHE

Publication date: January 10, 2010

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3. A brief overview of quantum transport simulation

Quantum transport physics is essentially concerned with the propagation of electronic wave functions, whether in a bulk material or in a system connected to "source" and "drain" electrodes. We choose this intuitive point of view to present the basic concepts of this field. We then briefly introduce the Green's function formalism and its use in the simulation of field-effect transistors. Finally, we summarize current theoretical and numerical developments.

3.1 Wave packet evolution and Kubo-Greenwood conductivity

In a system described by a strong bond Hamiltonian, calculating the propagation of a wave function is not very costly numerically. The equation

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