Conduction and Excitations of LowDimensional Electron Liquid
Abstract
The problems of the conduction of onedimensional electron liquid and of the collective excitations in a twodimensional electron liquid confined to a narrow channel are studied theoretically. The conduction is studied within the framework of the scattering theory of electron transport. A renormalization group (RG) technique is developed to calculate the renormalization of the potential scattering due to the electronelectron interactions and to find the transmission coefficient of an electron at any energy. This technique enables us to generalize the wellknown formula for the conductance of a onedimensional channel (Landauer formula) onto the case of interacting electrons. For the first time, simple formulas that describe the conductance at any temperature are derived. In real spin 1over2 systems, electron electron backscattering is found to cause the lowtemperature conductance to deviate from the results of the usual Luttinger liquid theory. Nonmonotonic temperature dependence of the conductance and singularity in the differential conductance in the presence of a magnetic field are predicted. For the problem of collective excitations, the hydrodynamic equations of motion for an electron liquid subject to a magnetic field are solved exactly for the strip geometry. The complete spectra of the acoustic excitations in such a system are found for a magnetic field of arbitrary strength. The lifetime and oscillator strength of the modes are calculated, based on which the optimal experimental observability conditions for the acoustic modes are established.
 Publication:

Ph.D. Thesis
 Pub Date:
 January 1995
 Bibcode:
 1995PhDT........41Y
 Keywords:

 MAGNETOPLASMON;
 Physics: Condensed Matter; Physics: Electricity and Magnetism