Interaction-induced oscillations in correlated electron transport

Fractional Bloch oscillations in photonic lattices

“…Such two contributions always add with the same sign, for both repulsive (U 0 40) and attractive (U 0 o0) interactions, and generally are of the same order of magnitude. The bound-particle state thus behaves like a single particle hopping on the 1D lattice, but with a driving force which is doubled as compared with that of a single particle 18,19 and with a modified hopping rate k eff . Note that the effect of direct twoatom tunnelling on the BO dynamics, not considered in previous works 19,20,22 , is to increase the amplitude of the breathing motion (owing to the correction of k eff ), whereas the periodicity of the BO is preserved.…”

“…When interactions between particles compete with their mobility, novel dynamical behaviour can arise where particles form bound states 13 and co-tunnel through the lattice 14 . While particle interaction has been generally associated to BO damping [15][16][17] , for few strongly interacting particles it was predicted that bound states undergo fractional BO at a frequency twice (or multiple) that of single-particle BO [18][19][20] . The observation of fractional BO is challenging in condensed-matter systems and up to now has not been achieved even in model systems.…”

Klein tunneling of two correlated bosons

“…they can be partially transmitted across a sufficiently high potential barrier, despite a single particle can not. Such a correlation-induced KT is associated to the formation of a bound (molecular) particle state [24,25,26,27,28,29,30,31], which behaves differently from the single particle state as it is scattered off by a potential barrier [31,32] or when an external field is applied [28,29,33,34,35,36]. We emphasize that, for the observation of correlation-induced KT, it is crucial that the particles exhibit long-range (nearestneighbor) interaction, with the existence of two minibands for the two-particle bound state.…”

Interacting Electron Wave Packet Dynamics in a Two-Dimensional Nanochannel

“…Wave packet approaches have been considered previously, but relied on strictly one-dimensional structures and/or on noninteracting electrons, or were based on approximate schemes such as the time-dependent Hartree-Fock theory. [11][12][13][14][15][16][17] Below, we study in detail the effect of Coulomb repulsion and an external electric field on wave packet propagation in a two-dimensional nanochannel. A main finding is that Coulomb repulsion redistributes the charge density to the channel walls, which makes electron transport more sensitive to perturbations at the interface.…”

“…This is in contrast to previous wave packet studies that mostly focused on single electrons and/or onedimensional nanostructures. [12][13][14][15][16] The present wave packet simulation may be extended in future studies to include, e.g., the electronic spin degree of freedom, small three-dimensional nanostructures, more than two interacting electrons and, though more challenging, the coupling to high-density source and drain contacts.…”