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This tutorial article gives an introduction to the methods needed to treat interacting electrons in a quantum wire with a single occupied band. Since one-dimensional Fermions cannot be described in terms of noninteracting quasiparticles,…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Hermann Grabert

The effect of dephasing on electron transport through a benzene molecule is carefully examined using a phenomenological model introduced by B\"{u}ttiker. Within a tight-binding framework all the calculations are performed based on the…

Mesoscale and Nanoscale Physics · Physics 2011-04-14 Moumita Dey , Santanu K. Maiti , S. N. karmakar

We consider a small interacting sample coupled to several non-interacting leads. Initially, the system is at thermal equilibrium. At some instant $t_0$ the system is set into the so called partition-free transport scenario by turning on a…

Mathematical Physics · Physics 2019-01-24 H. D. Cornean , V. Moldoveanu , C. -A. Pillet

The differential cross section for resonant Raman scattering from the collective modes in a one dimensional system of interacting electrons is calculated non-perturbatively using the bosonization method. The results indicate that resonant…

Strongly Correlated Electrons · Physics 2009-10-31 B. Kramer , M. Sassetti

Luttinger liquid theory describes one-dimensional electron systems in terms of non-interacting bosonic excitations. In this approximation thermal excitations are decoupled from the current flowing through a quantum wire, and the conductance…

Mesoscale and Nanoscale Physics · Physics 2011-09-01 K. A. Matveev , A. V. Andreev

The time-dependent tunnelling current arising from the electron-hole recombination of exciton state is theoretically studied using the nonequilibrium Green's function technique and the Anderson model with two energy levels. The charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 David M. -T. Kuo

A new approach to generalised Casimir type of problems is derived within the context of renormalisable quantum field theory (QFT). We study the simplest case of a massive fluctuating boson field coupled to a time-independent background…

High Energy Physics - Theory · Physics 2007-05-23 Markus Quandt

In this work we include electron-electron interaction beyond Hartree-Fock level in our non-equilibrium Green's function approach by a crude form of GW through the Single Plasmon Pole Approximation. This is achieved by treating all…

Mesoscale and Nanoscale Physics · Physics 2016-05-02 David O. Winge , Martin Franckié , Claudio Verdozzi , Andreas Wacker , Mauro F. Pereira

Suppression of rectification at metal--Mott-insulator interfaces, which is previously shown by numerical solutions to the time-dependent Schr\"odinger equation and experiments on real devices, is reinvestigated theoretically by…

Strongly Correlated Electrons · Physics 2009-04-27 Kenji Yonemitsu

Electrons, holes, and photons in semiconductors are interacting fermions and bosons. In this system, a variety of ordered coherent phases can be formed through the spontaneous phase symmetry breaking because of their interactions. The…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Makoto Yamaguchi , Ryota Nii , Kenji Kamide , Tetsuo Ogawa , Yoshihisa Yamamoto

We study the evolution of a system of free fermions in one dimension under the simultaneous effects of coherent tunneling and stochastic Markovian noise. We identify a class of noise terms where a hierarchy of decoupled equations for the…

Statistical Mechanics · Physics 2015-05-27 Viktor Eisler

Strong repulsive interactions in a one-dimensional electron system suppress the exchange coupling J of electron spins to a value much smaller than the Fermi energy E_F. The conventional theoretical description of such systems based on the…

Mesoscale and Nanoscale Physics · Physics 2007-11-01 K. A. Matveev , A. Furusaki , L. I. Glazman

We study a one-dimensional lattice model of fractional statistics in which particles have next-nearest-neighbor hopping between sites which depends on the occupation number at the intermediate site and a statistical parameter $\phi$. The…

Strongly Correlated Electrons · Physics 2021-06-30 Sreemayee Aditya , Diptiman Sen

We use a diagrammatic hopping expansion to calculate finite-temperature Green functions of the Bose-Hubbard model which describes bosons in an optical lattice. This technique allows for a summation of subsets of diagrams, so the divergence…

Statistical Mechanics · Physics 2013-05-30 Matthias Ohliger , Axel Pelster

An analytical approach, based on the unitary transformation method, has been developed to study the effect of quantum lattice fluctuations on the ground state of a model electron-phonon system. To study nonadiabatic case, the Green's…

Strongly Correlated Electrons · Physics 2009-11-07 Qin Wang , Hang Zheng

We have studied the quantum phase transition between the antiferromagnetic and spin liquid phase for the two dimensional anisotropic Kondo-necklace model. The bond operator formalism has been implemented to transform the spin Hamiltonian to…

Strongly Correlated Electrons · Physics 2009-11-13 H. Rezania , A. Langari , P. Thalmeier

We study a system of two non-interacting quantum wires with fermions of opposite chirality with a point contact junction at the origin across which tunneling can take place when an arbitrary time-dependent bias between the wires is applied.…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Nikhil Danny Babu , Girish S. Setlur

Non-equilibrium Green's function technique has been used to calculate spin-dependent electronic transport through a quantum dot in the Kondo regime. The dot is described by the Anderson Hamiltonian and is coupled either symmetrically or…

Other Condensed Matter · Physics 2009-11-11 R. Swirkowicz , M. Wilczynski , J. Barnas

We derive multidimensional bosonization directly from the electron gas in a low-energy, low momentum regime where $\omega\gg \frac{k^2}{k_F}$, such that the dispersion can be linearized. To reach this limit, the Fermi momentum and the…

Strongly Correlated Electrons · Physics 2022-10-11 Tomer Ravid , Tom Banks

The one step fermionic ladder refers to two parallel Luttinger Liquids (poles of the ladder) placed such that there is a finite probability of electrons hopping between the two poles at a pair of opposing points along each of the poles. The…

Strongly Correlated Electrons · Physics 2017-10-11 Joy Prakash Das , Girish S. Setlur
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