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The zero-temperature linear response conductance through an interacting mesoscopic region attached to noninteracting leads is investigated. We present a set of formulas expressing the conductance in terms of the ground-state energy of an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Anton Ramsak , Tomaz Rejec

A simple formula for the zero-temperature linear response conductance of an interacting mesoscopic region, threaded by magnetic flux, and attached to noninteracting single-channel leads is presented. The formula is valid for a general…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Tomaz Rejec , Anton Ramsak

We study the conductance through finite Aharonov-Bohm rings of interacting electrons weakly coupled to non-interacting leads at two arbitrary sites. This model can describe an array of quantum dots with a large charging energy compared to…

Strongly Correlated Electrons · Physics 2009-10-15 Julián Rincón , A. A. Aligia , K. Hallberg

We study the relation between the dc conductance and the transmission through an interacting region based on the Kubo formalism using the perturbation analysis in the Coulomb interaction developed by Yamada-Yosida and Shiba. We find that…

Strongly Correlated Electrons · Physics 2009-10-30 Akira Oguri

We analyze the zero temperature conductance of a parallel T-shaped double quantum dot system. We present an analytical expression for the conductance of the system in terms of the total number of electrons in both quantum dots. Our results…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Crisan , I. Grosu , I. Tifrea

A unified theory for the current through a nanoscale region of interacting electrons connected to two leads which can be either ferromagnet or superconductor is presented, yielding Meir-Wingreen-type formulas when applied to specific…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Z. Y. Zeng , Baowen Li , F. Claro

We study the problem of electronic conduction in mesoscopic systems when the electrons are allowed to interact not only with static impurities, but also with a scatterer (a phase breaker(PB)) that possesses internal degrees of freedom. We…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Pier A. Mello , Yoseph Imry , Boris Shapiro

We study a method to determine the residual conductance of a correlated system by means of the ground-state properties of a large ring composed of the system itself and a long non-interacting lead. The transmission probability through the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rafael A. Molina , Peter Schmitteckert , Dietmar Weinmann , Rodolfo A. Jalabert , Gert-Ludwig Ingold , Jean-Louis Pichard

We study the effects of electron correlation on transport through an interacting region connected to multi-mode leads based on the perturbation expansion with respect to the inter-electron interaction. At zero temperature the conductance…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yoshihide Tanaka , Akira Oguri , Hiroumi Ishii

The zero-temperature Hall response within tight-binding models of correlated electrons is studied. Using the linear response theory and a linearization in the magnetic field B, a general relation for the reactive (zero frequency) Hall…

Strongly Correlated Electrons · Physics 2009-11-07 P. Prelovsek , X. Zotos

We investigate the linear ac-conductance for tunneling through an arbitrary interacting quantum dot in the presence of a finite dc-bias. In analogy to the well-known Meir-Wingreen formula for the dc case, we are able to derive a general…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Björn Kubala , Florian Marquardt

We study the ac-conductivity in linear response theory for the Anderson tight-binding model. We define the electrical ac-conductivity and calculate the linear-response current at zero temperature for arbitrary Fermi energy. In particular,…

Mathematical Physics · Physics 2013-02-26 Abel Klein , Peter Müller

We consider quantum transport of spinless fermions in a 1D lattice embedding an interacting region (two sites with inter-site repulsion U and inter-site hopping td, coupled to leads by hopping terms tc). Using the numerical renormalization…

Mesoscale and Nanoscale Physics · Physics 2010-02-09 Axel Freyn , Jean-Louis Pichard

The zero-temperature magnetic field-dependent conductance of electrons through a one-dimensional non-interacting tight-binding chain with an interacting {\it side} dot is reviewed and analized further. When the number of electrons in the…

Strongly Correlated Electrons · Physics 2007-05-23 M. E. Torio , K. Hallberg , C. Proetto

We consider a waveguide formed in a clean graphene monolayer by a spatially inhomogeneous magnetic field. The single-particle dispersion relation for this waveguide exhibits a zero-energy Landau-like flat band, while finite-energy bands…

Mesoscale and Nanoscale Physics · Physics 2015-08-21 Laura Cohnitz , Wolfgang Häusler , Alex Zazunov , Reinhold Egger

A theory of thermal transport in a two-channel Kondo system, such as the one formed by a small quantum dot coupled to two leads and to a larger dot, is formulated. The interplay of the two screening constants allows an exploration of the…

Mesoscale and Nanoscale Physics · Physics 2011-06-27 C. P. Moca , A. Roman , D. C. Marinescu

We derive a formula for the current through an interacting quantum dot coupled to two supercouducting leads, using the non-equilibrium Green's function formalism. It is shown that the formula takes an especially simple form, when the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kicheon Kang

We apply Lieb-Robinson bounds for multi-commutators we recently derived to study the (possibly non-linear) response of interacting fermions at thermal equilibrium to perturbations of the external electromagnetic field. This analysis leads…

Mathematical Physics · Physics 2017-03-08 Jean-Bernard Bru , Walter de Siqueira Pedra

The interplay between the Kondo effect and the inter-dot magnetic interaction in a coupled-dot system is studied. An exact result for the transport properties at zero temperature is obtained by diagonalizing a cluster, composed by the…

Strongly Correlated Electrons · Physics 2009-10-31 C. A. Büsser , E. V. Anda , A. L Lima , Maria A. Davidovich , G. Chiappe

Nonlinear real-time response of interacting particles is studied on the example of a one-dimensional tight-binding model of spinless fermions driven by electric field. Using equations of motion and numerical methods we show that for a…

Strongly Correlated Electrons · Physics 2010-11-05 Marcin Mierzejewski , Peter Prelovsek
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