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A general formula for the orbital magnetic moment of interacting electrons in solids is derived using the many-electron Green function method. The formula factorizes into two parts, a part that contains the information about the…

Materials Science · Physics 2016-04-20 F. Aryasetiawan , K. Karlsson , T. Miyake

Using the density matrix renormalization group method, we systematically investigate the evolution of the Luttinger integral in the one-dimensional generalized $t$-$V$ model as a function of filling and interaction strength, and identify…

Strongly Correlated Electrons · Physics 2025-09-15 Meng Gao , Yin Zhong

Access to magnetic excitation spectra of single atoms deposited on surfaces is nowadays possible by means of low-temperature inelastic scanning tunneling spectroscopy. We present a first-principles method for the calculation of inelastic…

Strongly Correlated Electrons · Physics 2015-06-22 Benedikt Schweflinghaus , Manuel dos Santos Dias , Antonio T. Costa , Samir Lounis

We consider a one-dimensional gas of spin-1/2 fermions interacting through $\delta$-function repulsive potential of an arbitrary strength. For the case of all fermions but one having spin up, we calculate time-dependent two-point…

Mathematical Physics · Physics 2015-01-21 O. Gamayun , A. G. Pronko , M. B. Zvonarev

Using variational matrix product states, we analyze the finite temperature behavior of a half-filled periodic Anderson model in one dimension, a prototypical model of a Kondo insulator. We present an extensive analysis of single-particle…

Strongly Correlated Electrons · Physics 2023-06-21 Robert Peters , Roman Rausch

For a three-electron system with finite-strength interactions confined to a one-dimensional harmonic trap, we solve the Schroedinger equation analytically to obtain the exact solutions, from which we construct explicitly the simultaneous…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 Taichi Kosugi , Yu-ichiro Matsushita

New exact and asymptotical results for the one particle Green's function of 2D electrons with combined Rashba - Dresselhaus spin - orbit interaction in the presence of in-plane uniform magnetic field are presented. A special case that…

Mesoscale and Nanoscale Physics · Physics 2019-02-01 I. V. Kozlov , Yu. A. Kolesnichenko

We present a Green's function method for the evaluation of the particle density profile and of the higher moments of the one-body density matrix in a mesoscopic system of N Fermi particles moving independently in a linear potential. The…

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

We use higher-dimensional bosonization to study the normal state of electrons in weakly coupled metallic chains interacting with long-range Coulomb forces. Particular attention is paid to the crossover between Luttinger and Fermi liquid…

Strongly Correlated Electrons · Physics 2009-10-30 Peter Kopietz , Volker Meden , Kurt Schoenhammer

An electron is usually considered to have only one form of kinetic energy, but could it have more, for its spin and charge, by exciting other electrons? In one dimension (1D), the physics of interacting electrons is captured well at low…

Fermi-edge singularity changes in a dramatic way in a nonequilibrium system, acquiring features which reflect the structure of energy distribution. In particular, it splits into several components if the energy distribution exhibits…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 D. A. Abanin , L. S. Levitov

Within the finite-temperature Greens-function formalism we study the equation of state of a hot interacting pion gas at zero chemical potential. Employing realistic $\pi\pi$ meson-exchange interactions we selfconsistently calculate the…

Nuclear Theory · Physics 2008-11-26 R. Rapp , J. Wambach

The Coulomb Green's function (GF) for non-relativistic charged particle in field of attractive Coulomb force is extended to describe the interaction of two non-relativistic electrons through repulsive Coulomb forces. Closed-form expressions…

Quantum Physics · Physics 2023-10-26 Tomasz M. Rusin

In this paper we considered a quantum particle moving through delute Bose-Einstein condensate at zero temperature. In our formulation the impurity particle interacts with the gas of uncoupled Bogoliubov's excitations. We constructed the…

Quantum Physics · Physics 2009-11-13 Alexey Novikov , Mikhail Ovchinnikov

Laser-atom interaction can be an efficient mechanism for the production of coherent electrons. We analyze the dynamics of monoenergetic electrons in the presence of uniform, perpendicular magnetic and electric fields. The Green function…

Quantum Physics · Physics 2007-05-23 Tobias Kramer , Christian Bracher , Manfred Kleber

The paper contains the description of the dynamics of non-equilibrium processes of spin $s=1$ magnets in an external variable field. We have obtained nonlinear dynamic equations with sources and calculated low-frequency asymptotics of…

Statistical Mechanics · Physics 2016-04-05 A. V. Glushchenko , M. Y. Kovalevsky , L. V. Logvinova , V. T. Matskevych

The single-particle Green's function of an interacting Fermi system with dominant forward scattering is calculated by decoupling the interaction by means of a Hubbard-Stratonowich transformation involving a bosonic auxiliary field…

Condensed Matter · Physics 2007-05-23 Peter Kopietz

Using the tight-binding model with long-range Coulomb interactions between electrons, we study some of the electronic properties of graphene. The Coulomb interactions are treated with the renormalized-ring-diagram approximation. By…

Strongly Correlated Electrons · Physics 2011-11-09 Xin-Zhong Yan , C. S. Ting

The Green function method developed in Ref.[S. B. Chernyshuk and B. I. Lev, Phys. Rev. E \textbf{81}, 041707 (2010)] is used to describe elastic interactions between axially symmetric colloidal particles in the nematic cell in the presence…

Soft Condensed Matter · Physics 2015-05-30 S. B. Chernyshuk , O. M. Tovkach , B. I. Lev

We study the one-dimensional Fermionic Hubbard model with SU(N) spin symmetry in the incommensurate filling case. The basic properties of Green's function, momentum distribution and tunneling density of states of the system at low…

Strongly Correlated Electrons · Physics 2019-03-20 Shuang Liang , Deping Zhang , Wei Chen