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This thesis comprises two parts centered around the functional renormalization-group framework: in the first part, I study the role of symmetries and conservation laws in approximate solutions, while in the second part I analyze Friedel…

Strongly Correlated Electrons · Physics 2007-05-23 Tilman Enss

We study non-equilibrium current and occupation probabilities of a two-orbital quantum dot. The couplings to the leads are allowed to be asymmetric and orbital dependent as it is generically the case in transport experiments on molecules…

Mesoscale and Nanoscale Physics · Physics 2010-10-20 S. Y. Mueller , V. Koerting , D. Schuricht , S. Andergassen

We report a study of spin dependent transport in a system composed of a quantum dot coupled to a normal metal lead and a ferromagnetic lead (NM-QD-FM). We use the master equation approach to calculate the spin-resolved currents in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. M. Souza , J. C. Egues , A. P. Jauho

The transport properties of a simple model for a finite level structure (a molecule or a dot) connected to metal electrodes in an alternating current scanning tunneling microscope (AC-STM) configuration is studied. The finite level…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. Guyon , T. Jonckheere , V. Mujica , A. Crepieux , T. Martin

We present a fully nonequilibrium calculation of the low-temperature transport properties of a single molecular quantum dot coupled to local phonon mode when an ac field is applied to the gate. The resonant behavior is shown in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rong Lu

In this work, we put forward a generalized input-output method (GIOM) for studying charge transport in molecular junctions accounting for strong electron-vibration interactions and including electronic and phononic environments. The method…

Quantum Physics · Physics 2020-04-15 Junjie Liu , Dvira Segal

We study low-energy transport through a quantum dot coupled to one normal and two superconducting (SC) leads in a junction of Y-shape. In this geometry a crossover between Kondo dominated and Cooper-pairing dominated states occurs by tuning…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Akira Oguri , Yoichi Tanaka , Johannes Bauer

We pioneerly investigate the non-equilibrium transport near a quantum phase transition in a generic and relatively simple case model, the dissipative resonant level model, that has many ramifications in nanosystems. We formulate a rigorous…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Chung-Hou Chung , Karyn Le Hur , Matthias Vojta , Peter Wölfle

Electron transport through a diatomic molecular tunnel junction shows wave like interference phenomenon. By using Keldysh non-equilibrium Green's function (NEGF) theory, we have explicitly presented current and differential conductance…

Mesoscale and Nanoscale Physics · Physics 2012-12-18 Muhammad Imran

We present a numerically exact study of charge transport and its fluctuations through a molecular junction driven out of equilibrium by a bias voltage, using the Inchworm quantum Monte Carlo (iQMC) method. After showing how the technique…

Chemical Physics · Physics 2019-06-27 Michael Ridley , Emanuel Gull , Guy Cohen

We investigate theoretically and experimentally stochastic resonance in a quantum dot coupled to electron source and drain via time-dependent tunnel barriers. A central finding is a transition visible in the current noise spectrum as a…

Mesoscale and Nanoscale Physics · Physics 2020-11-12 Robert Hussein , Sigmund Kohler , Johannes C. Bayer , Timo Wagner , Rolf J. Haug

We study transport through a double quantum dot with interdot hopping $t$, intradot repulsion $U$ and interdot repulsion $U^{\prime}$, using the numerical renormalization group (NRG) method. At half-filling, the conductances in two-terminal…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yunori Nisikawa , Akira Oguri

We calculate the nonsymmetrized current noise in a quantum dot connected to two reservoirs by using the non-equilibrium Green function technique. We show that both the current auto-correlator (inside a single reservoir) and the current…

Mesoscale and Nanoscale Physics · Physics 2016-07-08 R. Zamoum , M. Lavagna , A. Crépieux

Motivated by the recent discovery of a canyon of conductance suppression in a two-level equal spin quantum dot system [Phys. Rev. Lett. $\bf{104}$, 186804 (2010)] the transport through this system is studied in detail. At low bias and low…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 O. Karlström , J. N. Pedersen , P. Samuelsson , A. Wacker

We propose a new approach to coherent control of transport via molecular junctions, which bypasses several of the hurdles to experimental realization of optically manipulated nanoelectronics noted in the previous literature. The method is…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Boris D. Fainberg , Tamar Seideman

Accurate electrical amplification is essential in molecular electronics for measuring conductance through atomic and molecular junctions, where currents often span several orders of magnitude. In this work, we present a systematic design…

Mesoscale and Nanoscale Physics · Physics 2026-04-20 J. Escorza , G. Pellicer , T. de Ara , J. Hurtado-Gallego , E. Scheer , C. Untiedt , C. Sabater

On the basis of the nonequilibrium Green's function and nonperturbative canonical transformation for the local electron-phonon interaction (EPI), the quantum transport through a single-molecule transistor(SMT) has been investigated with a…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Zuo-Zi Chen , Rong Lü , Bang-fen Zhu

The functional renormalization group (fRG) approach has the property that, in general, the flow equation for the two-particle vertex generates $\mathcal{O}(N^4)$ independent variables, where $N$ is the number of interacting states (e.g.…

Strongly Correlated Electrons · Physics 2014-01-24 Florian Bauer , Jan Heyder , Jan von Delft

We analyse non-equilibrium transport properties of a single-state molecular quantum dot coupled to a local phonon and contacted by two electrodes. We derive the effective non-equilibrium (Keldysh) action for the phonon mode and study the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander O. Gogolin , Andrei Komnik

A decrease in current with increasing voltage, often referred to as negative differential resistance (NDR), has been observed in many electronic devices and can usually be understood within a one-electron picture. However, NDR has recently…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Bhaskaran Muralidharan , Supriyo Datta