Titlebook: Quantum Transport in Submicron Devices; A Theoretical Introd Wim Magnus,Wim Schoenmaker Book 2002 Springer-Verlag Berlin Heidelberg 2002 De

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Quantum Transport in Vertical Devices scaling introduced in the mid 1960’s and early 1970’s. The increase of the integration density and the related speed improvement due to smaller wiring and device dimensions and the reduction of the power dissipation per circuit are the most important advantages of scaling down the dimensions. In no

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An Exactly Solvable Electron—Phonon Systemed to a phonon bath according to the Caldeira-Leggett (CL) Hamiltonian, and accelerated by a uniform electric field. Contrary to the conventional perturba-tional approach, the external field may be turned on abruptly at an arbitrary initial time, whence the drift velocity reflects the genuine physic

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Open Versus Closed Systems for the number of particles, since particles permanently leaving the device, whereas others enter. Crudely speaking, we imagine a device connected to two or more leads, and that carriers enter the device by one lead and leave the device through another lead. This picture suggests that we can discri

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Conductance Quantizationlly entered the range where quantum physics dominates the descriptive base for understanding experimental results. In particular, coherent transport through so-called quantum devices such as quantum wires, quantum dots and quantum point contacts has been regarded as a substantial support for the Lan

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Transport in Quantum Wires theory. In such cases the difference between the initial state of the circuit, that is often an equilibrium state, and the final steady state cannot be regarded as being caused by a small perturbation. However, as was explained in Chap. 10, if only the steady state is addressed, one may construct a

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An Exactly Solvable Electron—Phonon Systemon modes approaches infinity. Although it has been devised for other purposes, the (CL) electron-phonon Hamiltonian, including the electric field term, provides an exactly solvable transport model, enlightening interesting features of non-equilibrium thermodynamics, such as entropy production.

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Non-equilibrium Statistical Mechanics emphasized in the introduction, transport phenomena are usually accompanied by dissipative effects, i.e. an increment of entropy should be one of the essential outcomes of a sensible non-equilibrium statistical theory of tranport.

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Open Versus Closed Systemsher drawback of open systems is that the Hilbert space (or classically, the phase space) cannot be constructed. Again, this shortcoming is not due to the fact that we do not know the number of particles, but to the fact that particles are leaving and entering the system.