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The explicit evaluation of linear response coefficients for interacting many-particle systems still poses a considerable challenge to theoreticians. In this work we use a novel many-particle renormalization technique, the so-called…

Strongly Correlated Electrons · Physics 2015-06-18 Van-Nham Phan , Klaus W. Becker , Holger Fehske

A new lattice model is presented for correlated electrons on the unrestricted $4^L$-dimensional electronic Hilbert space $\otimes_{n=1}^L{\bf C}^4$ (where $L$ is the lattice length). It is a supersymmetric generalization of the Hubbard…

Condensed Matter · Physics 2009-10-22 Anthony J. Bracken , Mark D. Gould , Jon R. Links , Yao-Zhong Zhang

We present $\vec{k}$-dependent one-particle spectra and corresponding effective bandstructures for the $2d$ Hubbard model calculated within the dynamical molecular field theory (DMFT). This method has proven to yield highly nontrivial…

Condensed Matter · Physics 2016-08-31 Th. Pruschke , Th. Obermeier , J. Keller , M. Jarrell

We investigate the metal insulator transitions at finite temperature for the Hubbard model with diagonal alloy disorder. We solve the dynamical mean field theory equations with the non crossing approximation and we use the coherent…

Strongly Correlated Electrons · Physics 2009-11-11 P. Lombardo , R. Hayn , G. I. Japaridze

In the present paper we propose a doubly orbitally degenerate narrow-band model with correlated hopping. The peculiarity of the model is taking into account the matrix element of electron-electron interaction which describes intersite…

Strongly Correlated Electrons · Physics 2009-10-31 L. Didukh , Yu. Skorenkyy , Yu. Dovhopyaty , V. Hankevych

We consider a non-relativistic quantum particle interacting with a singular potential supported by two parallel straight lines in the plane. We locate the essential spectrum under the hypothesis that the interaction asymptotically…

Spectral Theory · Mathematics 2014-06-12 Sylwia Kondej , David Krejcirik

We introduce a well-defined and unbiased measure of the strength of correlations in quantum many-particle systems which is based on the relative von Neumann entropy computed from the density operator of correlated and uncorrelated states.…

Strongly Correlated Electrons · Physics 2015-05-30 K. Byczuk , J. Kunes , W. Hofstetter , D. Vollhardt

The two-dimensional Hubbard model is analyzed in the framework of the two-pole expansion. It is demonstrated that several theoretical approaches, when considered at their lowest level, are all equivalent and share the property of satisfying…

Strongly Correlated Electrons · Physics 2008-02-03 A. Avella , F. Mancini , D. Villani , L. Siurakshina , V. Yu. Yushankhai

We present an efficient approach to the electron correlation problem that is well-suited for strongly interacting many-body systems, but requires only mean-field-like computational cost. %which is based on orbital optimization of electron…

Strongly Correlated Electrons · Physics 2014-08-05 Katharina Boguslawski , Paweł Tecmer , Paul W. Ayers , Patrick Bultinck , Stijn De Baerdemacker , Dimitri Van Neck

We present and implement a parquet approximation within the dual-fermion formalism based on a partial bosonization of the dual vertex function which substantially reduces the computational cost of the calculation. The method relies on…

Strongly Correlated Electrons · Physics 2020-11-19 Friedrich Krien , Angelo Valli , Patrick Chalupa , Massimo Capone , Alexander I. Lichtenstein , Alessandro Toschi

A new supersymmetric model for electrons with generalized hopping terms and Hubbard interaction on a one-dimensional lattice is solved by means of the Bethe Ansatz. We investigate the phase diagram of this model by studying the ground state…

Condensed Matter · Physics 2009-10-28 Gerald Bedürftig , Holger Frahm

Electronic correlated systems are often well described by dynamical mean field theory (DMFT). While DMFT studies have mainly focused hitherto on one-particle properties, valuable information is also enclosed into local two-particle Green's…

Strongly Correlated Electrons · Physics 2012-09-25 Georg Rohringer , Angelo Valli , Alessandro Toschi

The phase diagram of the one-dimensional extended Hubbard model at half-filling is investigated by a weak coupling renormalization group method applicable beyond the usual continuum limit for the electron spectrum and coupling constants. We…

Strongly Correlated Electrons · Physics 2011-04-04 M. Ménard , C. Bourbonnais

The interplay and competition of magnetic and superconducting correlations in the weakly interacting two-dimensional Hubbard Model is investigated by means of the functional renormalization group. At zero temperature the flow of…

Strongly Correlated Electrons · Physics 2009-11-11 W. Metzner , J. Reiss , D. Rohe

An interacting lattice model describing the subspace spanned by a set of strongly-correlated bands is rigorously coupled to density functional theory to enable ab initio calculations of geometric and topological material properties. The…

Strongly Correlated Electrons · Physics 2019-03-26 Ryan Requist , E. K. U. Gross

The problem of weakly correlated electrons on a square lattice is formulated in terms of one-loop renormalization group. Starting from the action for the entire Brillouin zone (and not with a low-energy effective action) we reduce…

Condensed Matter · Physics 2009-10-28 D. Zanchi , H. J. Schulz

In this work we introduce the Dual Boson Diagrammatic Monte Carlo technique for strongly interacting electronic systems. This method combines the strength of dynamical mean-filed theory for non-perturbative description of local correlations…

Strongly Correlated Electrons · Physics 2020-11-06 M. Vandelli , V. Harkov , E. A. Stepanov , J. Gukelberger , E. Kozik , A. Rubio , A. I. Lichtenstein

We study electron correlations in the half-filled Hubbard model on two-dimensional Penrose lattice. Applying the real-space dynamical mean-field theory to large clusters, we discuss how low-temperature properties are affected by the…

Strongly Correlated Electrons · Physics 2015-06-23 Nayuta Takemori , Akihisa Koga

In the limit of infinite spatial dimensions a thermodynamically consistent theory of the strongly correlated electron systems, which is valid for arbitrary value of the Coulombic interaction ($U<\infty$), is built. For the Hubbard model the…

Strongly Correlated Electrons · Physics 2007-05-23 A. M. Shvaika

There is growing evidence that the hole-doped single-band Hubbard and $t$-$J$ models do not have a superconducting ground state reflective of the high-temperature cuprate superconductors but instead have striped spin- and charge-ordered…

Strongly Correlated Electrons · Physics 2023-05-26 Peizhi Mai , Nathan S. Nichols , Seher Karakuzu , Feng Bao , Adrian Del Maestro , Thomas A. Maier , Steven Johnston