We consider a model of a leaky quantum wire with the Hamiltonian −∆ − αδ(x − Γ) in L 2 (R 2), where Γ is a compact deformation of a straight line. The existence of wave operators is proven and the S-matrix is found for the negative part of the spectrum. Moreover, we conjecture that the scattering at negative energies becomes asymptot-ically purely one-dimensional, being determined by the local ...

We have studied the luminescence of narrow quantum wires at photoexcitation densities of up to ∼ 3×10 cm. We show that, even at these densities, which are well above the expected Mott density of 8 × 10 cm, excitonic recombination dominates over other recombination channels in stark contrast with the behavior of quantum wells and bulk structures at equivalent densities. As we observe no shift in...

A novel adaptive approach to compute the eigenenergies and eigenfunctions of the two-particle (electron-hole) Schrödinger equation including Coulomb attraction is presented. As an example, we analyze the energetically lowest exciton state of a thin one-dimensional semiconductor quantum wire in the presence of disorder which arises from the non-smooth interface between the wire and surrounding m...

Quantum wire lasers are expected to require very low threshold currents owing to the nature of the 1 D density of states which develops a sharp peak at the band edge and ensures superior laser characteristics. However, carrier relaxation processes in quasi-lD structures may be much slower than in bulk material owing to reduction in the momentum space. For very long relaxation times, these equil...

A general quantum thermodynamics network is composed of thermal devices connected to environments through quantum wires. The coupling between the devices and the wires may introduce additional decay channels which modify the system performance with respect to the directly-coupled device. We analyze this effect in a quantum three-level device connected to a heat bath or to a work source through ...

A theory for the relaxation rates of a test electron and electron temperature in quantum wires due to deformation, piezoelectric acoustical and polar optical phonon scattering is presented. We represent intraand inter-subband relaxation rates as an average of rate kernels weighted by electron wave functions across a wire. We exploit these expressions to calculate phonon emission power for elect...