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We present a controlled method for computing the exchange coupling in strongly correlated one-dimensional electron systems. It is based on the asymptotically exact relation between the exchange constant and the pair-correlation function of…

Strongly Correlated Electrons · Physics 2007-05-23 Michael M. Fogler , Eugene Pivovarov

Electron interactions in and between wires become increasingly complex and important as circuits are scaled to nanometre sizes, or employ reduced-dimensional conductors like carbon nanotubes, nanowires and gated high mobility 2D electron…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 D. Laroche , G. Gervais , M. P. Lilly , J. L. Reno

Quantum entanglement is a concept commonly used with reference to the existence of certain correlations in quantum systems that have no classical interpretation. It is a useful resource to enhance the mutual information of memory channels…

Quantum Physics · Physics 2009-11-13 Tina A. C. Maiolo , Fabio Della Sala , Luigi Martina , Giulio Soliani

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

Dynamic conductance and time-of-flight current instability in a quantum wire connected to electron reservoirs under DC bias voltage are studied in the absence of a gate screening the Coulomb interaction of electrons. Due to a strong…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Bagun S. Shchamkhalova , Vladimir A. Sablikov

We consider a long quantum wire at low electron densities. In this strong interaction regime a Wigner crystal may form, in which electrons comprise an antiferromagnetic Heisenberg spin chain. The coupling constant J is exponentially small,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. D. Klironomos , R. R. Ramazashvili , K. A. Matveev

The effective potential of electron--electron interaction and the two-particle \textquotedblleft density--density\textquotedblright\ correlation function have been calculated for a simple semiinfinite metal making allowance for the…

Mesoscale and Nanoscale Physics · Physics 2015-03-29 B. M. Markovych , I. M. Zadvorniak

The nonlinear conductance of a one-dimensional quantum wire adiabatically coupled to Fermi Liquid electron reservoirs is determined in presence of an impurity. We show that electron-electron interaction in connection with the finite length…

Strongly Correlated Electrons · Physics 2007-05-23 Fabrizio Dolcini , Hermann Grabert , Ines Safi , Bjoern Trauzettel

We explore electron transport properties in a quantum wire attached to two metallic electrodes. A simple tight-binding model is used to describe the system and the coupling of the wire to the electrodes (source and drain) is treated through…

Mesoscale and Nanoscale Physics · Physics 2010-01-10 Santanu K. Maiti

It was realized two decades ago that the two-dimensional diffusive Fermi liquid phase is unstable against arbitrarily weak electron-electron interactions. Recently, using the nonlinear sigma model developed by Finkelstein, several authors…

Disordered Systems and Neural Networks · Physics 2009-11-11 Xiao Yang , Chetan Nayak

An unusual increase of the conductance with temperature is observed in clean quantum point contacts for conductances larger than 2e^2/h. At the same time a positive magnetoresistance arises at high temperatures. A model accounting for…

Mesoscale and Nanoscale Physics · Physics 2011-01-25 Vincent Thomas Francois Renard , O. A. Tkachenko , V. A. Tkachenko , T. Ota , N. Kumada , J. -C. Portal , Y. Hirayama

We discuss the properties of interacting electrons on a finite chain with open boundary conditions. We extend the Haldane Luttinger liquid description to these systems and study how the presence of the boundaries modifies various…

Condensed Matter · Physics 2009-10-28 M. Fabrizio , Alexander O. Gogolin

The effective electron-electron interaction in the electron gas depends on both the density and spin local field factors. Variational Diagrammatic Quantum Monte Carlo calculations of the spin local field factor are reported and used to…

Quantum Gases · Physics 2021-01-27 Carl A. Kukkonen , Kun Chen

An interaction of electromagnetic field with a nanostructure composed of two quantum dots is studied theoretically. An effect of a resonant electron transfer between the localized low-lying states of quantum dots is predicted. A necessary…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Leonid A. Openov

The two dimensional system of electrons in a high magnetic field offers an opportunity to investigate a phase transition from a quantum liquid into a Wigner solid. Recent experiments have revealed an incipient composite fermion liquid in a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sudhansu S. Mandal , Michael R. Peterson , Jainendra K. Jain

An analytical expression for the current through a single level quantum dot for arbitrary strength of the on-site electron-electron interaction is derived beyond standard mean-field theory. By describing the localised states in terms of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Fransson

The ground states of N-electron parabolic quantum dots in the presence of a perpendicular magnetic field are investigated. Rigorous lower bounds to the ground-state energies are obtained. It is shown that our lower bounds agree well with…

Condensed Matter · Physics 2009-11-07 Yeong E. Kim , Alexander L. Zubarev

We consider the conductance of a one-dimensional wire interrupted by a double-barrier structure allowing for a resonant level. Using the electron-electron interaction strength as a small parameter, we are able to build a non-perturbative…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yu. V. Nazarov , L. I. Glazman

The correlation between electrons in different quantum wires is expected to affect the electronic properties of quantum electron-electron biwire systems. Here, we use the variational Monte Carlo method to study the ground-state properties…

Quantum Gases · Physics 2021-08-04 Rajesh O. Sharma , N. D. Drummond , Vinod Ashokan , K. N. Pathak , Klaus Morawetz

We obtain a Quantum Electrodynamics in 2+1 dimensions by applying a Kaluza--Klein type method of dimensional reduction to Quantum Electrodynamics in 3+1 dimensions rendering the model more realistic to application in solid-state systems,…

High Energy Physics - Theory · Physics 2007-05-23 E. Abdalla , F. M. de Carvalho Filho
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