Electronic Properties of Luttinger Liquid with Electron-Phonon Interaction

摘要: This thesis addresses a theoretical study of the problem single impurity embedded in one-dimensional system interacting electrons presence electron-phonon coupling. First we consider with featureless point-like potential impurity, followed by case resonant level hybridised Luttinger Liquid. The stress is made on more fundamental scatterer, for which two opposite limits strength are considered: weak scatterer and link. We have found that, regardless transmission properties phonons through scaling dimensions conductance these obey duality condition, \( \triangle_{WS}\) \triangle_{WL}\) = 1, known Liquid absence phonons. However, when phonon scattering correlated electron find nontrivial phase diagram up to three fixed points possibility metal-insulator transition. also weakly an arbitrary potential. In attached show that coupling significantly modifies effective energy-dependent width different geometries, corresponding anti-resonant Fermi gas.