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Our current understanding of strongly correlated electron systems is based on a homogeneous framework. Here we take a step going beyond this paradigm by incorporating inhomogeneity from the beginning. Specifying to systems near the Mott…

Strongly Correlated Electrons · Physics 2016-05-12 Jian-Huang She , A. R. Bishop , Alexander V. Balatsky

We have studied the Fano effect in a few-electron quantum dot side-coupled to a quantum wire. The conductance of the wire, which shows an ordinal staircase-like quantization without the dot, is modified through the interference (the Fano…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tomohiro Otsuka , Eisuke Abe , Shingo Katsumoto , Yasuhiro Iye , Gyong Luck Khym , Kicheon Kang

When a carbon nanotube is truncated with a certain type of edges, boundary states localized near the edges appear at the fermi level. Starting from lattice models, low energy effective theories are constructed which describe electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Shinsei Ryu , Yasuhiro Hatsugai

We review what we consider to be the minimal model of quantized conductance in a finite interacting quantum wire. Our approach utilizes the simplicity of the equation of motion description to both deal with general spatially dependent…

Strongly Correlated Electrons · Physics 2015-05-19 Ronny Thomale , Alexander Seidel

We study the influence of spin on the quantum interference of interacting electrons in a single-channel disordered quantum wire within the framework of the Luttinger liquid (LL) model. The nature of the electron interference in a spinful LL…

Strongly Correlated Electrons · Physics 2008-11-08 A. G. Yashenkin , I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We study the conductance of a quantum wire in the presence of weak electron-electron scattering. In a sufficiently long wire the scattering leads to full equilibration of the electron distribution function in the frame moving with the…

Mesoscale and Nanoscale Physics · Physics 2009-03-19 J. Rech , T. Micklitz , K. A. Matveev

The effects of interactions in a 2D electron system in a strong magnetic field of two degenerate Landau levels with opposite spins and at filling factors 1/2 are studied. Using the Chern-Simons gauge transformation, the system is mapped to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matteo Merlo , Nicodemo Magnoli , Maura Sassetti , Bernhard Kramer

Transport through a one--dimensional wire of interacting electrons connected to semi--infinite leads is investigated using a bosonization approach. An incident electron is transmitted as a sequence of partial charges. The dc conductance is…

Condensed Matter · Physics 2009-10-28 I. Safi , H. J. Schulz

The transport properties of nanostructured systems are deeply affected by the geometry of the effective connections to metallic leads. In this work we derive a conductance expression for interacting systems whose connectivity geometries do…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Luis G. G. V. Dias da Silva , Caio H. Lewenkopf , Edson Vernek , Gerson J. Ferreira , Sergio E. Ulloa

We study a system consisting of a Luttinger liquid coupled to a quantum dot on the boundary. The Luttinger liquid is expressed in terms of fermions interacting via density-density coupling and the dot is modeled as an interacting resonant…

Strongly Correlated Electrons · Physics 2020-06-09 Colin Rylands , Natan Andrei

We study a gated quantum wire contacted to source and drain electrodes in the Fabry-Perot regime. The wire is also coupled to a third terminal (tip), and we allow for an asymmetry of the tip tunneling amplitudes of right and left moving…

Strongly Correlated Electrons · Physics 2009-01-27 Stefano Pugnetti , Fabrizio Dolcini , Dario Bercioux , Hermann Grabert

In order to fully characterize the noise associated with electron transport, with its severe consequences for solid-state quantum information systems, the theory of full counting statistics has been developed. It accounts for correlation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. A. Bagrets , Y. Utsumi , D. S. Golubev , G. Schoen

We consider an impurity in a semi-infinite one-dimensional system of weakly-interacting bosons. We calculate the interaction potential for the impurity due to the end of the system, i.e., the wall. For local repulsive (attractive)…

Quantum Gases · Physics 2019-12-19 Benjamin Reichert , Aleksandra Petkovic , Zoran Ristivojevic

We perform a brief but critical review of the Landauer picture of transport that clarifies how decoherence appears in this approach. On this basis, we present different models that allow the study of the coherent and decoherent effects of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. M. Pastawski , L. E. F. Foa Torres , Ernesto Medina

We show that the interaction constant governing the long-range electron-electron interaction in a quantum wire coupled to two reservoirs and capacitively coupled to a gate can be determined by a low frequency measurement. We present a…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ya. M. Blanter , F. W. J. Hekking , M. Buttiker

We study the effect of external electric bias on the quantum correlations in the array of optically excited coupled semiconductor quantum dots. The correlations are characterized by the quantum discord and concurrence and are observed using…

Quantum Physics · Physics 2012-05-02 S. Shojaei , M. Mahdian , R. Yousefjani

We develop a new theoretical framework for exploring a mobile impurity interacting strongly with a highly correlated bath of bosons in the quantum critical regime of a Mott insulator (MI) to superfluid (SF) quantum phase transition. Our…

A few exactly solvable interacting quantum many-body problems with impurities were previously reported to exhibit unusual features such as non-localization and absence of backscattering. In this work we consider the use of these integrable…

Mesoscale and Nanoscale Physics · Physics 2011-11-18 Marion Moliner , Peter Schmitteckert

It is well known that bosons and fermions exhibit opposite behaviors when experiencing interference, in the sense that bosons have a tendency to bunch whereas fermions have a tendency to antibunch. Recently, this complementarity was…

Quantum Physics · Physics 2026-04-28 Marco Robbio , Michael G. Jabbour , Nicolas J. Cerf

We examine the effects of electron-electron interactions on transport between edge states in a multilayer integer quantum Hall system. The edge states of such a system, coupled by interlayer tunneling, form a two-dimensional, chiral metal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. W. Tomlinson , J. -S. Caux , J. T. Chalker