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We study the dynamics of a non-magnetic impurity interacting with the surface states of a 3D and 2D topological insulator. Employing the linked cluster technique we develop a formalism for obtaining the Greens function of the mobile…

Strongly Correlated Electrons · Physics 2020-08-26 Ajit Kumar Sorout , Surajit Sarkar , Suhas Gangadharaiah

We consider a two-dimensional electron gas (2DEG) with the Rashba spin-orbit interaction (SOI) in presence of a perpendicular magnetic field. We derive analytical expressions of the density of states (DOS) of a 2DEG with the Rashba SOI in…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 S. K. Firoz Islam , Tarun Kanti Ghosh

We use the diagram technique for spin operators to calculate Green's functions and observables of the spin-1/2 quantum Heisenberg antiferromagnet on a square lattice. The first corrections to the self-energy and interaction are taken into…

Strongly Correlated Electrons · Physics 2009-10-31 A. Sherman , M. Schreiber

We develop a bosonization technique for one-dimensional fermions out of equilibrium. The approach is used to study a quantum wire attached to two electrodes with arbitrary energy distributions. The non-equilibrium electron Green function is…

Mesoscale and Nanoscale Physics · Physics 2010-06-08 D. B. Gutman , Yuval Gefen , A. D. Mirlin

A Green's function approach to the inclusive quasielastic ($e,e'$) scattering is presented. The components of the nuclear response are written in terms of the single-particle optical model Green's function. The explicit calculation of the…

Nuclear Theory · Physics 2007-05-23 F. Capuzzi , C. Giusti , A. Meucci , F. D. Pacati

We discuss the local density approximation approach to calculating the ground state energy of a one-dimensional Fermi gas containing a single impurity, and compare the results with exact numerical values that we have for up to 11 particles…

Quantum Gases · Physics 2016-05-27 N. J. S. Loft , L. B. Kristensen , A. E. Thomsen , N. T. Zinner

Based on a nonperturbative scheme to determine the self-energy \Sigma(k,iw_n) with automatically satisfying the Ward identity and the total momentum conservation law, a fully self-consistent calculation is done in the electron gas at…

Strongly Correlated Electrons · Physics 2024-08-15 Yasutami Takada

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

Variational wave function is proposed to describe electronic properties of an array of one-dimensional conductors coupled by transverse hopping and interaction. For weak or intermediate in-chain interaction the wave function has the…

Strongly Correlated Electrons · Physics 2009-11-10 A. V. Rozhkov

It is shown that the dynamics of a single $\downarrow$-electron interacting with a band of $\uparrow$-electrons can be calculated exactly in the limit of infinite dimension. The corresponding Green function is determined as a continued…

Condensed Matter · Physics 2009-10-28 Goetz S. Uhrig

The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling…

Strongly Correlated Electrons · Physics 2020-06-01 DinhDuy Vu , Anibal Iucci , Sankar Das Sarma

We consider a model for 2D electrons in a very strong magnetic field (i.e. projected onto a single Landau level) and a random potential $V$. The computation of the averaged Green function for this system reduces to calculating the averaged…

Condensed Matter · Physics 2009-10-30 A. Kristoffersen , K. Olaussen

Using bosonization and path integral methods, we study general low temperature behavior of non-magnetic and magnetic impurity scattering in Tomonaga-Luttinger liquid, and calculate electron Green function for a general backward scattering…

Condensed Matter · Physics 2009-10-31 Yu-Liang Liu

We model a small quantum dot with a magnetic impurity by the Anderson Hamiltonian with a supplementary exchange interaction term. The transport calculations are performed by means of the Green functions within the equation of motion scheme,…

Materials Science · Physics 2015-06-25 Mugurel Tolea , Bogdan R. Bulka

Sub-wavelength arrays of quantum emitters offer an efficient free-space approach to coherent light-matter interfacing, using ultracold atoms or two-dimensional solid-state quantum materials. The combination of collectively suppressed…

Quantum Gases · Physics 2024-12-16 Simon Panyella Pedersen , Georg M. Bruun , Thomas Pohl

We develop a Green's function method to evaluate the exact equilibrium particle-density profiles of noninteracting Fermi gases in external harmonic confinement in any spatial dimension and for arbitrary trap anisotropy. While in a…

Statistical Mechanics · Physics 2009-11-07 Patrizia Vignolo , Anna Minguzzi

The asymmetric Hubbard model is used in investigating the lattice gas of the moving particles of two types. The model is considered within the dynamical mean-field method. The effective single-site problem is formulated in terms of the…

Strongly Correlated Electrons · Physics 2024-01-30 I. V. Stasyuk , O. B. Hera

Bosonization technique for one-dimensional fermions out of equilibrium is developed in the framework of the Keldysh action formalism. We first demonstrate how this approach is implemented for free fermions and for the problem of…

Mesoscale and Nanoscale Physics · Physics 2010-02-25 D. B. Gutman , Yuval Gefen , A. D. Mirlin

The relativistic mean field theory with the Green's function method is taken to study the single-particle resonant states. Different from our previous work [Phys.Rev.C 90,054321(2014)], the resonant states are identified by searching for…

Nuclear Theory · Physics 2020-08-26 Cheng Chen , Zhi Pan Li , Yu Xiao Li , Ting-Ting Sun

We propose a new method for the evaluation of the particle density and kinetic pressure profiles in inhomogeneous one-dimensional systems of non-interacting fermions, and apply it to harmonically confined systems of up to N=1000 fermions.…

Statistical Mechanics · Physics 2009-10-31 Patrizia Vignolo , Anna Minguzzi , M. P. Tosi
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