Universal electric current of interacting resonant-level models with asymmetric interactions: An extension of the Landauer formula

Abstract

We study the electron transport in open quantum-dot systems described by the interacting resonant-level models with Coulomb interactions. We consider the situation in which the quantum dot is connected to the left and right leads asymmetrically. We exactly construct many-electron scattering eigenstates for the two-lead system, where two-body bound states appear as a consequence of one-body resonances and the Coulomb interactions. By using an extension of the Landauer formula, we calculate the average electric current for the system under bias voltages in the first order of the interaction parameters. Through a renormalization-group technique, we arrive at the universal electric current, where we observe the suppression of the electric current for large bias voltages, i.e., negative differential conductance. We find that the suppressed electric current is restored by the asymmetry of the system parameters.

Many-body wavefunctions for quantum impurities out of equilibrium. II. Charge fluctuations

“…NESS wavefunctions for the IRL and AIM have previously been obtained by Nishino and collaborators [8][9][10][11]; our more general approach recovers some of their results in special cases. We discuss these special cases in more detail below.…”

“…Refs. [8], [9], and [10] present the NESS wavefunction in the two lead case. The results seem to agree with ours for N = 2, 3 electrons (when we take the steady state limit of the wavefunction we find below); while the authors obtained the general N case as well, it is not written explicitly.…”

“…Ref. [10] allows the tunnelings and Coulomb interactions to be leaddependent, which is a more general case than we consider here; also, Refs. [16], [17] present NESS wavefunctions for N = 2, 3 electrons with two leads and two quantum dots.…”

Thermodynamics of the mesoscopic thermoelectric heat engine beyond the linear-response regime

“…( 9) is still valid because it does not break our assumptions; we may even be able to derive microscopic expressions extending the Landauer-Büttiker formalism as in Refs. [51,52]. Using Christen and Büttiker's nonlinear scattering theory, in which electron-electron interactions are treated as mean-field charging effects [18,19,[35][36][37][53][54][55], we can construct the same formalism by replacing τ ( ) with τ ( , T L , T R , µ L , µ R ).…”

Current noise of the interacting resonant level model

“…It is known as the scaling limit, and universal features of the steady-state current, such as the power-law behavior at large bias voltages, manifest themselves. 2-4, [6][7][8][9] In an earlier FRG approach, the current was computed from the self-energy employing the Meir-Wingreen formula. 30 In this subsection, it is discussed that an alternative FRG formulation can be developed in which a flow equation for the current is derived and solved.…”