Interacting one-dimensional electrons driven by two-dimensional reservoir electrons

Interacting One-Dimensional Electrons Driven by Two-Dimensional Reservoir Electrons

We derive an effective 1D theory from the Hamiltonian of the 3D system which consists of a mesoscopic conductor and reservoirs. We assume that the many-body interaction have the same magnitude in the conductor as that in the reservoirs, in contrast to the previous theories which made the ad hoc assumption that the many-body interaction were absent in the reservoirs. We show the following: (i) T...

Resonant tunneling of interacting electrons in a one-dimensional wire.

We consider the conductance of a one-dimensional wire interrupted by a double-barrier structure allowing for a resonant level. Using the electron-electron interaction strength as a small parameter, we are able to build a nonperturbative analytical theory of the conductance valid in a broad region of temperatures and for a variety of the barrier parameters. We find that the conductance may have ...

Interacting electrons in a one-dimensional quantum dot.

The spectral properties of up to four interacting electrons confined within a quasi one–dimensional system of finite length are determined by numerical diagonalization including the spin degree of freedom. The ground state energy is investigated as a function of the electron number and of the system length. The limitations of a description in terms of a capacitance are demonstrated. The energet...

One-dimensional model for doubly degenerate electrons

A Hubbard-like model with SU~4! symmetry for electrons with twofold orbital degeneracy is studied extensively. Exact solution in one dimension is derived by means of Bethe ansatz, where the sites are supposed to be occupied by at most two electrons. The features of ground state and excited states for repulsive coupling are shown. For finite N number of electrons, the configurations of quantum n...

Transport of One-Dimensional Correlated Electrons