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A microscopic theory for electronic spectrum of the CuO2 plane within an effective p-d Hubbard model is proposed. Dyson equation for the single-electron Green function in terms of the Hubbard operators is derived which is solved…

Strongly Correlated Electrons · Physics 2015-06-25 N. M. Plakida , V. S. Oudovenko

A simple and efficient approximation scheme to study electronic transport characteristics of strongly correlated nano devices, molecular junctions or heterostructures out of equilibrium is provided by steady-state cluster perturbation…

Strongly Correlated Electrons · Physics 2015-10-28 Martin Nuss , Gerhard Dorn , Antonius Dorda , Wolfgang von der Linden , Enrico Arrigoni

We extend the self-consistent Green's functions formalism to take into account three-body interactions. We analyze the perturbative expansion in terms of Feynman diagrams and define effective one- and two-body interactions, which allows for…

Nuclear Theory · Physics 2013-12-03 Arianna Carbone , Andrea Cipollone , Carlo Barbieri , Arnau Rios , Artur Polls

A strong-coupling expansion for the Green's functions, self-energies and correlation functions of the Bose Hubbard model is developed. We illustrate the general formalism, which includes all possible inhomogeneous effects in the formalism,…

Other Condensed Matter · Physics 2009-07-09 J. K. Freericks , H. R. Krishnamurthy , Yasuyuki Kato , Naoki Kawashima , Nandini Trivedi

Computing response functions by following the time evolution of superoperators in Liouville space (whose vectors are ordinary Hilbert space operators) offers an attractive alternative to the diagrammatic perturbative expansion of many-body…

Statistical Mechanics · Physics 2009-11-10 Shaul Mukamel

The self-consistent theory of the correlation effects in Highly Correlated Systems(HCS) is presented. The novel Irreducible Green's Functions(IGF) method is discused in detail for the Hubbard model and random Hubbard model. The…

Strongly Correlated Electrons · Physics 2008-02-03 A. L. Kuzemsky

The coupled dynamics of low lying modes, including the scissors mode, and various giant quadrupole resonances are studied with the help of the Wigner Function Moments method generalized to take into account spin degrees of freedom.…

Nuclear Theory · Physics 2015-05-28 E. B. Balbutsev , I. V. Molodtsova , P. Schuck

Low-order hybridization expansion methods such as the non-crossing approximation (NCA) and the one-crossing approximation (OCA) are widely used impurity solvers in the study of strongly correlated systems, yet their accuracy in genuine…

Strongly Correlated Electrons · Physics 2026-05-05 Dolev Goldberger , Ido Zemach , Lei Zhang , Yang Yu , Emanuel Gull , Guy Cohen , André Erpenbeck

Various formulas for currents with arbitrary spin are worked out in general space-time dimension, in the free field limit and, at the bare level, in presence of interactions. As the n-dimensional generalization of the (conformal) vector…

High Energy Physics - Theory · Physics 2009-10-31 D. Anselmi

We develop several non-perturbative approximations for studying the dynamics of a supersymmetric O(N) model which preserve supersymmetry. We study the phase structure of the vacuum in both the leading order in large-N approximation as well…

High Energy Physics - Phenomenology · Physics 2009-11-11 John F. Dawson , Bogdan Mihaila , Per Berglund , Fred Cooper

We give the details of the calculation of the spectral functions of the 1D Hubbard model using the spin-charge factorized wave-function for several versions of the U -> +\infty limit. The spectral functions are expressed as a convolution of…

Strongly Correlated Electrons · Physics 2009-10-30 Karlo Penc , Karen Hallberg , Frederic Mila , Hiroyuki Shiba

In this paper we continue the program, initiated in Ref. hep-th/0112246, to investigate an integrable noncommutative version of the sine-Gordon model. We discuss the origin of the extra constraint which the field function has to satisfy in…

High Energy Physics - Theory · Physics 2009-11-10 Marcus T. Grisaru , Liuba Mazzanti , Silvia Penati , Laura Tamassia

A new theoretical analysis of the current-charge and charge-charge propagators is presented for the Hubbard model, using the static approximation for the Composite Operator Method. This approximation manifestly preserves a sum rule which…

Strongly Correlated Electrons · Physics 2007-05-23 F. Mancini , D. Villani

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

In Green's function theory, the total energy of an interacting many-electron system can be expressed in a variational form using the Klein or Luttinger-Ward functionals. Green's function theory also naturally addresses the case where the…

Materials Science · Physics 2025-08-26 Andrea Ferretti , Tommaso Chiarotti , Nicola Marzari

We introduce a hybrid quantum-classical algorithm to compute the Green function for strongly correlated electrons on noisy intermediate-scale quantum (NISQ) devices. The technique consists in the construction of a non-orthogonal excitation…

Strongly Correlated Electrons · Physics 2024-11-01 B. Gauthier , P. Rosenberg , A. Foley , M. Charlebois

We propose a new way of analyzing the Hubbard model using equations of motion (EOM) for the higher-order Green's functions approach within the DMFT scheme. In calculating the higher order Green function we will differentiate over both Times…

Strongly Correlated Electrons · Physics 2014-08-22 Grzegorz Gorski , Jerzy Mizia

We develop an interpolating self-energy approach to the correlated Kondo-lattice model. The correlation of the band electrons is taken into account by a Hubbard interaction. The method is based on a self-energy ansatz, the structure of…

Strongly Correlated Electrons · Physics 2009-11-07 W. Nolting , G. G. Reddy , A. Ramakanth , D. Meyer , J. Kienert

A novel effective Hamiltonian in the subspace of singly occupied states is obtained by applying the Gutzwiller projection approach to a generalized Hubbard model with the interactions between two nearest- neighbor sites. This model provides…

Strongly Correlated Electrons · Physics 2017-03-27 Tao Sun

By employing non-equispaced grid points near boundaries, boundary-optimized upwind finite-difference operators of orders up to nine are developed. The boundary closures are constructed within a diagonal-norm summation-by-parts (SBP)…

Numerical Analysis · Mathematics 2026-02-06 Ken Mattsson , David Niemelä , Andrew R. Winters