Floquet Scattering Approach And Its Application In Time-Dependent Mesoscopic Transport

The electronic transport properties of mesoscopic system(such as quantum wire and nanowires)have been paid much attention.These properties are not only significant basic problems of physics but also have potential application in the future.The mesoscopic system,such as quantum wire or dot,will be very important parts of the quantum nanocir cuit.Using Landauer-Büttiker transport theory and the scattering matrix method in this thesis we study the time-dependent electronic transport properties of a straight quantum wire partly irradiated by an external longitudinal-polarized THz electromagnetic field.All the investigations are within the framework of free-electron approximation with effective mass.The thesis consists of five chapters.In chapter one we briefly recall the history of the development of the theory of electronic transport in mesoscopic systems,and review the present research results and discuss the scientific significance in this aspect.In chapter two we introduce the fundamental knowledge of time-dependent transport in mesoscopic systems, such as the system interacted by a THz electromagnetic field and the characteristic of its transport properties.Chapter three studies the electronic transport properties of a straight quantum wire partly irradiated by an external THz electromagnetic wave.Using the time-dependeut mode matched scattering matrix method and based on the theory of the interaction between atom and electromagnetic field,we give the non-disturbed solution of timedependent Schr(?)dinger equation and the matrix equation determined Floquet scattering coefficients.The numerical results of chapter there are shown in chapter four.Through the analytical analysis and numerical examples,we obtain the following conclusions:the transmission probability as a function of the incident energy of electrons show the Fano resonance and Rabi oscillation,and is sensitive to the field amplitude,field frequency and the irradiation length and so on.In chapter five a summary of the work and a outlook of this aspect are given.