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In this paper a new look on the electro-magnetic duality is presented and appropriately exploited. The duality analysis in the nonrelativistic and relativistic formulations is shown to lead to the idea the mathematical model field to be a…

High Energy Physics - Theory · Physics 2007-05-23 Stoil Donev

In this work we perform a Green's function analysis of giant-dipole systems. First we derive the Green's functions of different magnetically field-dressed systems, in particular of electronically highly excited atomic species in crossed…

Atomic Physics · Physics 2018-01-17 Thomas Stielow , Stefan Scheel , Markus Kurz

We adapt the Coupled Cluster Method to solid state strongly correlated lattice Hamiltonians extending the Coupled Cluster linear response method to the calculation of electronic spectra and obtaining the space-time Fourier transforms of…

Strongly Correlated Electrons · Physics 2017-02-16 Alessandro Mirone

We introduce a general scheme to consistently truncate equations of motion for Green's functions. Our scheme is guaranteed to generate physical Green's functions with real excitation energies and positive spectral weights. There are free…

Strongly Correlated Electrons · Physics 2021-02-24 Francesco Catalano , Johan Nilsson

Various properties of the general two-center two-electron integral over the explicitly correlated exponential function are analyzed for the potential use in high precision calculations for diatomic molecules. A compact one dimensional…

Chemical Physics · Physics 2015-06-11 Krzysztof Pachucki

Cluster Perturbation Theory (CPT) is a computationally economic method commonly used to estimate the momentum and energy resolved single-particle Green's function. It has been used extensively in direct comparisons with experiments that…

Strongly Correlated Electrons · Physics 2020-02-20 P. T. Raum , G. Alvarez , Thomas Maier , V. W. Scarola

On the basis of the tight-binding formalism and Green function technique we obtain all the Green functions matrix elements for a biased chain with a linear variation of the electron on-site energy. Their dependence on the system parameters…

Mesoscale and Nanoscale Physics · Physics 2021-11-18 Lyuba Malysheva

We consider excitations with the quantum numbers of a hole in the one dimensional Hubbard model below half-filling. We calculate the finite-size corrections to the energy. The results are then used to determine threshold singularities in…

Strongly Correlated Electrons · Physics 2013-05-29 F. H. L. Essler

We have developed a semi-analytical framework formulated in the canonical fermion representation to investigate strongly correlated electron systems. We consider the U=$\infty$ Hubbard model and used the equation of motion method to…

Strongly Correlated Electrons · Physics 2026-03-18 Debanand Sa , Anirban Dutta

The Hubbard model, which augments independent-electron band theory with a single parameter to describe electron-electron correlations, is widely regarded to be the `standard model' of condensed matter physics. The model has been remarkably…

Strongly Correlated Electrons · Physics 2016-02-17 S. M. Griffin , P. Staar , T. C. Schulthess , M. Troyer , N. A. Spaldin

In the framework of the many-electron s-d exchange model and Hubbard model, self-consistent equations are derived for the one-particle retarded Green's function in the many-electron Hubbard X-operator representation. We analyze the general…

Strongly Correlated Electrons · Physics 2015-06-03 A. O. Anokhin , A. V. Zarubin , V. Yu. Irkhin

The Hubbard model is a "highly oversimplified model" for electrons in a solid which interact with each other through extremely short ranged repulsive (Coulomb) interaction. The Hamiltonian of the Hubbard model consists of two pieces; H_hop…

Strongly Correlated Electrons · Physics 2008-02-03 Hal Tasaki

We consider the extended Hubbard model and introduce a corresponding Heisenberg-like problem written in terms of spin operators. The derived formalism is reminiscent of Anderson's idea of the effective exchange interaction and takes into…

Strongly Correlated Electrons · Physics 2018-07-25 E. A. Stepanov , S. Brener , F. Krien , M. Harland , A. I. Lichtenstein , M. I. Katsnelson

Computational studies of basic models of strongly-correlated electron systems can provide guidance in the search for new materials as well as insight into the physical mechanisms responsible for their properties. Here, we illustrate this by…

Strongly Correlated Electrons · Physics 2009-11-07 D. J. Scalapino

The Hubbard on-site repulsion $U$ between opposite spin electrons on the same atomic orbital is widely regarded to be the most important source of electronic correlation in solids. Here we extend the Hubbard model to account for the fact…

Strongly Correlated Electrons · Physics 2009-11-07 J. E. Hirsch

We derive the exact dual to the Bosonic Hubbard model. The dual variables take the form of conserved current loops (local and global). Previously this has been done only for the very soft core model at very high density. No such…

Superconductivity · Physics 2009-10-31 F. Hebert , G. G. Batrouni , H. Mabilat

We present a technique to map an electronic model with local interactions (a generalized multi-orbital Hubbard model) onto an effective model of interacting classical spins, by requiring that the thermodynamic potentials associated to spin…

Strongly Correlated Electrons · Physics 2015-05-27 Andrea Secchi , Alexander I. Lichtenstein , Mikhail I. Katsnelson

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

Using Cluster Perturbation Theory we calculate Green's functions, quasi-particle energies and topological invariants for interacting electrons on a 2-D honeycomb lattice, with intrinsic spin-orbit coupling and on-site e-e interaction. This…

Strongly Correlated Electrons · Physics 2015-02-03 F. Grandi , F. Manghi , O. Corradini , C. M. Bertoni , A. Bonini