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We investigate the properties of the one-electron Green's function in an interacting two-dimensional electron system in a strong magnetic field, which describes an electron tunneling into such a system. From finite-size diagonalization, we…

Condensed Matter · Physics 2007-05-23 Song He , P. M. Platzman , B. I. Halperin

We investigate the properties of the one-electron Green's function in an interacting two-dimensional electron system in a strong magnetic field, which describes an electron tunneling into such a system. From finite-size diagonalization, we…

Condensed Matter · Physics 2009-10-22 Song He , P. M. Platzman , B. I. Halperin

We summarize results on the asymptotics of the two-particle Green functions of interacting electrons in one dimension. Below a critical value of the chemical potential the Fermi surface vanishes, and the system can no longer be described as…

Condensed Matter · Physics 2007-05-23 F. Göhmann

An analysis shows that the ground state of the inhomogeneous system of interacting electrons in the static external field, which satisfies the thermodynamic limit, can be consistently described only using the Green function theory based on…

Statistical Mechanics · Physics 2014-09-02 V. B. Bobrov

The spin-incoherent regime of one-dimensional electrons has recently been explored using the Bethe ansatz and a bosonized path integral approach, revealing that the spin incoherence dramatically influences the correlations of charge…

Strongly Correlated Electrons · Physics 2007-10-23 Paata Kakashvili , Henrik Johannesson

An ensemble Green's function formalism, based on the von Neumann density matrix approach, to calculate one-electron excitation spectra of a many-electron system with degenerate ground states is proposed. A set of iterative equations for the…

Strongly Correlated Electrons · Physics 2019-12-24 Erik Linnér , Ferdi Aryasetiawan

Closed expression for the Green's function of the stationary two-dimensional Schrodinger equation for an electron in group-VI dichalcogenides in the presence of a magnetic field is obtained in terms of the Whittaker functions. The resulting…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Tomasz M Rusin , Wlodek Zawadzki

The method of the quasiclassical Green's function is used to determine the equilibrium properties of one-dimensional (1D) interacting Fermi systems, in particular, the bulk and the local (near a hard wall) density of states. While this is a…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 U. Eckern , P. Schwab

We address the problem of calculating the correlation functions of one-dimensional two-component gases with strong repulsive contact interactions. The model considered in this paper describes particles with fractional statistics and in…

Statistical Mechanics · Physics 2020-01-01 Ovidiu I. Patu

A simple model of noninteracting electrons with a separable one-body potential is used to discuss the possible pole structure of single particle Green's functions for fermions on unphysical sheets in the complex frequency plane as a…

Strongly Correlated Electrons · Physics 2009-10-30 K. Schoenhammer

We study a system of one-dimensional electrons in the regime of strong repulsive interactions, where the spin exchange coupling J is small compared with the Fermi energy, and the conventional Tomonaga-Luttinger theory does not apply. We…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. A. Matveev , A Furusaki , L. I. Glazman

We have developed an approach to calculate the single-particle Green function of a one-dimensional many-body system in the strongly localized limit at zero temperature. Our approach, based on the locator expansion, sums the contributions of…

Mesoscale and Nanoscale Physics · Physics 2017-05-05 A. N. Somoza , M. Ortuño , V. Gasparian , M. Pino

Motivated by recent experimental refinements of stellar reaction rates, we establish a non-perturbative Green's function formalism based on the exact solution of the Dyson equation for sub-barrier proton-nucleus resonant scattering. By…

Nuclear Theory · Physics 2026-03-19 Bahruz Suleymanli , Kutsal Bozkurt

Holes in a Mott insulator are represented by spinless fermions in the fermion-boson model introduced by Edwards. Although the physically interesting regime is for low to moderate fermion density the model has interesting properties over the…

Strongly Correlated Electrons · Physics 2015-05-19 D M Edwards , S Ejima , A Alvermann , H Fehske

We consider dynamical correlation functions of short range interacting electrons in one dimension at finite temperature. Below a critical value of the chemical potential there is no Fermi surface anymore, and the system can no longer be…

Strongly Correlated Electrons · Physics 2009-10-31 F. Göhmann , V. E. Korepin

The effect of electron-electron scattering on the equilibrium properties of few-electron quantum dots is investigated by means of nonequilibrium Green's functions theory. The ground and equilibrium state is self-consistently computed from…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 K. Balzer , M. Bonitz , R. van Leeuwen , N. E. Dahlen , A. Stan

Within the framework of many-particle perturbation theory, we develop an analytical approach that allows us to determine the small distance behavior of Green's functions and related quantities in electronic structure theory. As a case…

Mathematical Physics · Physics 2025-03-17 Heinz-Juergen Flad , Michael Griebel

We construct a Green function, which can identify the topological nature of interacting systems. It is equivalent to the single-particle Green function of effective non-interacting particles, the Bloch Hamiltonian of which is given by the…

Strongly Correlated Electrons · Physics 2022-04-20 Minh-Tien Tran , Duong-Bo Nguyen , Hong-Son Nguyen , Thanh-Mai Thi Tran

The $S=1/2$ Heisenberg antiferromagnet is studied on the kagom\'e lattice by using a Green's function method based on an appropriate decoupling of the equations of motion. Thermodynamic properties as well as spin-spin correlation functions…

Strongly Correlated Electrons · Physics 2009-11-07 B. H. Bernhard , B. Canals , C. Lacroix

The problem of motion of a single electron interacting with a periodic lattice of two-level systems is investigated within a spinless fermion model. The Green's function is calculated in a single-site dynamical coherent potential…

Strongly Correlated Electrons · Physics 2011-07-27 A. O. Anokhin , A. V. Zarubin , V. Yu. Irkhin
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