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Analytical and Numerical Solution of the Double Barrier Problem
28 Jun 2010 | Teaching Materials | Contributor(s): Gerhard Klimeck, Parijat Sengupta, Dragica Vasileska
Tunneling is fully quantum-mechanical effect that does not have classical analog. Tunneling has revolutionized surface science by its utilization in scanning tunneling microscopes. In some device applications tunneling is required for the operation of the device (Resonant tunneling diodes, EEPROMs …
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Band Structure Lab Exercise
28 Jun 2010 | Teaching Materials | Contributor(s): Gerhard Klimeck, Parijat Sengupta, Dragica Vasileska
Investigations of the electron energy spectra of solids form one of the most active fields of research. Knowledge of band theory is essential for application to specific problems such as Gunn diodes, tunnel diodes, photo-detectors etc. There are several standard methods to compute the band …
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Crystal Viewer Lab Exercise
28 Jun 2010 | Teaching Materials | Contributor(s): Gerhard Klimeck, Parijat Sengupta, Dragica Vasileska
A central problem in the investigation of material properties involves the examination of the underlying blocks that aggregate to form macroscopic bodies. These underlying blocs own a definite arrangement that is repeated in three dimensions to give the crystal structure. We will try to explore the …
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Negative Differential Resistivity Exercise
28 Jun 2010 | Teaching Materials | Contributor(s): Gerhard Klimeck, Parijat Sengupta, Dragica Vasileska
In certain semiconductors such as GaAs and InP the average velocity as a function of field strength displays a maximum followed by a regime of decreasing velocity. Hilsum, Ridley, and Watkins postulated that peculiarities in the band structure of semiconductors would lead to the above phenomenon. …
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Quantum Bound States Exercise
16 Jun 2010 | Teaching Materials | Contributor(s): Gerhard Klimeck, Parijat Sengupta, Dragica Vasileska
Exercise Background
Quantum-mechanical systems (structures, devices) can be separated into open systems and closed systems. Open systems are characterized with propagating or current carrying states. Closed (or bound) systems are described with localized wave-functions. One such system is a …