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We present a renormalization group (RG) procedure which works naturally on a wide class of interacting one-dimension models based on perturbed (possibly strongly) continuum conformal and integrable models. This procedure integrates Kenneth…

Strongly Correlated Electrons · Physics 2016-07-05 Robert M. Konik , Yury Adamov

The Numerical Renormalization Group method (NRG) has been developed by Wilson in the 1970's to investigate the Kondo problem. The NRG allows the non-perturbative calculation of static and dynamic properties for a variety of impurity models.…

Strongly Correlated Electrons · Physics 2009-10-31 R. Bulla

A microscopic theory for the interaction of carriers with LO phonons is used to study the ultrafast carrier dynamics in nitride-based semiconductor quantum dots. It is shown that the efficiency of scattering processes is directly linked to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. Seebeck , T. R. Nielsen , P. Gartner , F. Jahnke

We identify experimental signatures in the current-voltage (I-V) characteristics of weakly contacted molecules directly arising from excitations in their many electron spectrum. The current is calculated using a multielectron master…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Muralidharan , A. W. Ghosh , S. Datta

The inelastic scattering of electrons which carry current through a single-molecule junction is modeled by a quantum dot, coupled to electron reservoirs via two leads. When the electron is on the dot, it is coupled to a single harmonic…

Mesoscale and Nanoscale Physics · Physics 2009-04-29 O. Entin-Wohlman , Y. Imry , A. Aharony

We study a generic problem of dissipative quantum mechanics, a small local quantum system with discrete states coupled in an arbitrary way (i.e. not necessarily linear) to several infinitely large particle or heat reservoirs. For both…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Herbert Schoeller

We study inelastic effects on the electronic current noise in molecular junctions, due to the coupling between transport electrons and vibrational degrees of freedom. Using a full counting statistics approach based on the generalized…

Mesoscale and Nanoscale Physics · Physics 2010-10-27 Federica Haupt , Tomas Novotny , Wolfgang Belzig

The non-perturbative renormalization group (NPRG) is applied to analysis of tunnelling in quantum mechanics. The vacuum energy and the energy gap of anharmonic oscillators are evaluated by solving the local potential approximated…

High Energy Physics - Theory · Physics 2007-05-23 Ken-Ichi Aoki , Atsushi Horikoshi , Masaki Taniguchi , Haruhiko Terao

We present an interpolative method for describing coherent transport through an interacting quantum dot. The idea of the method is to construct an approximate electron self-energy which becomes exact both in the limits of weak and strong…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 A. Levy Yeyati , A. Martin-Rodero , F. Flores

Employing the nonequilibrium Green's function method, we develop a fully quantum mechanical model to study the coupled electron-phonon transport in one-dimensional atomic junctions in the presence of a weak electron-phonon interaction. This…

Mesoscale and Nanoscale Physics · Physics 2008-03-04 J. T. Lü , Jian-Sheng Wang

Renormalization Group (RG) techniques have been successfully employed in quantum field theory and statistical physics. Here we apply RG methods to study the non-linear stages of structure formation in the Universe. Exact equations for the…

Astrophysics · Physics 2010-10-27 Sabino Matarrese , Massimo Pietroni

A model is developed for a detailed investigation of the current flowing through a cylindrical nanosize MOSFET with a close gate electrode. The quantum mechanical features of the lateral charge transport are described by Wigner distribution…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. N. Balaban , E. P. Pokatilov , V. M. Fomin , V. N. Gladilin , J. T. Devreese , W. Magnus , W. Schoenmaker , M. Van Rossum , B. Soree

The functional renormalization group (FRG) provides a flexible tool to study correlations in low-dimensional electronic systems. In this paper, we present a novel FRG approach to the steady-state of quantum wires out of thermal equilibrium.…

Strongly Correlated Electrons · Physics 2020-12-08 Christian Klöckner , Dante Marvin Kennes , Christoph Karrasch

The isoscalar giant monopole resonance (ISGMR) and isovector giant dipole resonance (IVGDR) in finite nuclei are studied in the framework of a relativistic transport approach. The kinetic equations are derived within an effective…

Nuclear Theory · Physics 2016-09-08 S. Yildirim , T. Gaitanos , M. Di Toro , V. Greco

We study electron transport through a quantum interferometer with side-coupled quantum dots. The interferometer, threaded by a magnetic flux $\phi$, is attached symmetrically to two semi-infinite one-dimensional metallic electrodes. The…

Mesoscale and Nanoscale Physics · Physics 2010-12-17 Santanu K. Maiti

In this paper we study a non-equilibrium resonant tunnelling problem where a non-interacting quantum dot is connected to two leads, one being the edge of an interacting 2-D topological insulator (Luttinger liquid) and the other being a…

Mesoscale and Nanoscale Physics · Physics 2011-08-19 Chien Yeah Seng , Tai-Kai Ng

We present a comprehensive study of the spectral and transport properties in the Anderson--Holstein model both in and out of equilibrium using the functional renormalization group (FRG). We show how the previously established machinery of…

Strongly Correlated Electrons · Physics 2014-05-19 M. A. Laakso , D. M. Kennes , S. G. Jakobs , V. Meden

We review recent results based on an application of the real-space renormalization group (RG) approach to a network model for the integer quantum Hall (QH) transition. We demonstrate that this RG approach reproduces the critical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Philipp Cain , Rudolf A. Roemer

The Kondo effect in quantum dots (QDs) - artificial magnetic impurities - attached to ferromagnetic leads is studied with the numerical renormalization group (NRG) method. It is shown that the QD level is spin-split due to presence of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Martinek , M. Sindel , L. Borda , J. Barnaś , J. König , G. Schön , J. von Delft

We consider scattering of spinless fermions by an inversion-symmetric interacting model characterized by three parameters (interaction U, internal hopping t_d and coupling t_c). Mapping this spinless model onto an Anderson model with Zeeman…

Mesoscale and Nanoscale Physics · Physics 2009-04-07 Axel Freyn , Jean-Louis Pichard