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The Hubbard model is a prototype for strongly correlated electrons in condensed matter, for molecules and fermions or bosons in optical lattices. While the equilibrium properties of these systems have been studied in detail, the excitation…

Strongly Correlated Electrons · Physics 2014-07-08 M. Bonitz , S. Hermanns , K. Balzer

We develop a Green's function formalism for spin transport through heterostructures that contain metallic leads and insulating ferromagnets. While this formalism in principle allows for the inclusion of various magnonic interactions, we…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Jiansen Zheng , Scott Bender , Jogundas Armaitis , Roberto E. Troncoso , R. A. Duine

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

The diagram technique for the one-band Hubbard model is formulated for the case of moderate to strong Hubbard repulsion. The expansion in powers of the hopping constant is expressed in terms of site cumulants of electron creation and…

Strongly Correlated Electrons · Physics 2007-05-23 A. Sherman

The asymptotics of the equal-time one-particle Green's function for the half-filled one-dimensional Hubbard model is studied at finite temperature. We calculate its correlation length by evaluating the largest and the second largest…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Umeno , M. Shiroishi , A. Kluemper

We will analyze the itinerant model for ferromagnetism with both single-site and two-site electron correlations. We will include band degeneration into the model. This will allow us to consider the on-site exchange interactions in the…

Strongly Correlated Electrons · Physics 2009-11-10 G. Górski , J. Mizia , K. Kucab

We present a numerically efficient technique to evaluate the Green's function for extended two dimensional systems without relying on periodic boundary conditions. Different regions of interest, or `patches', are connected using self energy…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Mikkel Settnes , Stephen R. Power , Jun Lin , Dirch H. Petersen , Antti-Pekka Jauho

Using recently developed quantum SU(2)xU(1) rotor approach, that provides a self-consistent treatment of the antiferromagnetic state we have performed electronic spectral function calculations for the Hubbard model on the square lattice.…

Strongly Correlated Electrons · Physics 2015-05-13 T. A. Zaleski , T. K. Kopec

We present a microscopic modeling for a decay of a heavy compound nucleus, starting from a nucleonic degree of freedom. To this end, we develop an approach based on a non-equilibrium Green's function, which is combined with a configuration…

Nuclear Theory · Physics 2024-08-14 K. Uzawa , K. Hagino

Exotic phases of matter can emerge from strong correlations in quantum many-body systems. Quantum gas microscopy affords the opportunity to study these correlations with unprecedented detail. Here we report site-resolved observations of…

The spectral functions of the one-band half-filled 1D Hubbard chain are calculated using the exchange-correlation potential formalism developed recently. The exchange-correlation potential is adopted from the exact potential derived from…

Strongly Correlated Electrons · Physics 2022-08-31 F. Aryasetiawan , T. Sjöstrand

Including finite-temperature effects from the electronic degrees of freedom in electronic structure calculations of semiconductors and metals is desired; however, in practice it remains exceedingly difficult when using zero-temperature…

Chemical Physics · Physics 2016-11-24 Alicia Rae Welden , Alexander A. Rusakov , Dominika Zgid

A new approach proposed recently by author for the calculation of Green functions in quantum field theory and quantum mechanics is briefly reviewed. The method is applied to nonperturbative calculations for anharmonic oscillator,…

High Energy Physics - Theory · Physics 2007-05-23 V. E. Rochev

We study the ground state quantum spin fluctuations around the N\'eel ordered state for the one-band ($t,U$) Hubbard model on a site-diluted square lattice. An effective spin Hamiltonian, $H_{\rm s}^{(4)}$, is generated using the canonical…

Statistical Mechanics · Physics 2009-06-13 J. -Y. P. Delannoy , A. G. Del Maestro , M. J. P. Gingras , P. C. W. Holdsworth

In solid state physics, the electron-phonon interaction (EPI) is central to many phenomena. The theory of the renormalization of electronic properties due to EPIs became well established with the theory of Allen-Heine-Cardona, usually…

Materials Science · Physics 2022-06-22 Jean Paul Nery , Francesco Mauri

Electron dynamics in a two-sites Hubbard model is studied using the nonequilibrium Green's function approach. The study is motivated by the empirical observation that a full solution of the integro-differential Kadanoff-Baym equation (KBE)…

Strongly Correlated Electrons · Physics 2024-01-23 Yaroslav Pavlyukh

The application of functional integral methods and the Hubbard--Stratonovich transformation to the Hubbard model is discussed. For the attractive case, using a simple gauge transformation of the superconducting order parameter field, the…

Condensed Matter · Physics 2007-05-23 H. J. Schulz

Free-particle Green's function plays a central role in the theoretical description of electron scattering and autoionization processes in quantum physics and chemistry. Recently, Gaussian basis set approaches have become increasingly…

Chemical Physics · Physics 2026-05-19 Dibyendu Mahato , Wojciech Skomorowski

The extended Hubbard Hamiltonian is a widely accepted model for uncovering the effects of strong correlations on the phase diagram of low-dimensional systems, and a variety of theoretical techniques have been applied to it. In this paper…

Strongly Correlated Electrons · Physics 2007-09-07 H. A. Craig , C. N. Varney , W. E. Pickett , R. T. Scalettar

In this article, we show how to recast the Hubbard model in one dimension in a hydrodynamic language and use the path integral approach to compute the one-particle Green function. We compare with the Bethe ansatz results of Schulz and find…

Strongly Correlated Electrons · Physics 2016-08-31 Girish S. Setlur
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