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A general scheme to calculate dynamical susceptibilities of strongly correlated electron systems within the dynamical mean field theory is developed. Approach is based on an expansion over electron hopping around the atomic limit (within…

Strongly Correlated Electrons · Physics 2023-03-13 A. M. Shvaika

A general approach for the description of correlated hopping in infinite dimensions, which is based on an expansion over electron hopping around the atomic limit, is developed. Such an approach keeps the dynamical mean-field theory local…

Strongly Correlated Electrons · Physics 2010-09-07 A. M. Shvaika

The general approach for the description of correlated hopping in the Dynamical Mean-Field Theory which is based on the expansion over electron hopping around the atomic limit is developed. It is formulated in terms of the local irreducible…

Strongly Correlated Electrons · Physics 2015-06-24 A. M. Shvaika

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

Dynamic spin susceptibility is calculated for the t-J model in the paramagnetic phase by applying the memory function method in terms of the Hubbard operators. A self-consistent system of equations for the memory function is obtained within…

Strongly Correlated Electrons · Physics 2007-05-23 G. Jackeli , N. M. Plakida

An approximate analytical scheme of the dynamical mean field theory (DMFT) is developed for the description of the electron (ion) lattice systems with Hubbard correlations within the asymmetric Hubbard model where the chemical potentials…

Strongly Correlated Electrons · Physics 2009-11-11 Ihor V. Stasyuk , Orest B. Hera

An exact solution is presented for the frequency-dependent charge susceptibility of the spinless Falicov-Kimball model by using dynamical mean-field theory. We develop a nontrivial application of the Baym-Kadanoff "conserving approximation"…

Strongly Correlated Electrons · Physics 2009-10-31 J. K. Freericks , P. Miller

A general expansion scheme based on the concept of linked cluster expansion from the theory of classical spin systems is constructed for models of interacting electrons. It is shown that with a suitable variational formulation of mean-field…

Condensed Matter · Physics 2009-10-28 Vaclav Janis , Jan Schlipf

The phase diagram of correlated, disordered electron systems is calculated within dynamical mean-field theory for the Anderson-Falicov-Kimball model with nearest-neighbors and next-nearest-neighbors hopping. The half-filled band is analyzed…

Strongly Correlated Electrons · Physics 2009-11-13 D. O. Maionchi , A. M. C. Souza , H. J. Herrmann , R. N. da Costa Filho

Dynamical two-particle susceptibilites are important for a wide range of different experiments in condensed-matter physics and beyond. Nevertheless, most textbooks avoid describing how to derive such response functions, perhaps because they…

Quantum Physics · Physics 2021-04-13 R. D. Nesselrodt , J. K. Freericks

We compute the dynamical charge susceptibility in the two-dimensional Hubbard model within the dynamical cluster approximation. In order to understand the connection between charge susceptibility and pseudogap, we investigate the momentum,…

Strongly Correlated Electrons · Physics 2019-12-11 Xinyang Dong , Xi Chen , Emanuel Gull

The path probability method (PPM) in the tetrahedron-cactus approximation is applied to the Slater-Takagi model with dipole-dipole interaction for KH2PO4-type hydrogen-bonded ferroelectric crystals in order to derive a small dip structure…

Statistical Mechanics · Physics 2009-11-07 S. Yoshida , N. Ihara , K. Wada

We review two analytical approaches in Dynamical Mean-Field Theory (DMFT) based on a perturbation theory expansion over the electron hopping to and from the self consistent environment. In the first approach the effective single impurity…

Strongly Correlated Electrons · Physics 2007-05-23 I. V. Stasyuk , A. M. Shvaika

Building on the recently derived inhomogeneous mode-coupling theory, we extend the generalised mode-coupling theory of supercooled liquids to inhomogeneous environments. This provides a first-principles-based, systematic and rigorous way of…

Statistical Mechanics · Physics 2023-01-11 Corentin C. L. Laudicina , Chengjie Luo , Kunimasa Miyazaki , Liesbeth M. C. Janssen

Dynamical spin susceptibility is calculated for the generalized ferromagnetic Kondo model which describes itinerant $e_{g}$ electrons interacting with localized $t_{2g}$ electrons with antiferromagnetic coupling. The calculations done in…

Strongly Correlated Electrons · Physics 2016-08-31 N. B. Perkins , N. M. Plakida

A relaxation-function theory for the dynamic spin susceptibility in the $t$--$J$ model is presented. By a sum-rule-conserving generalized mean-field approximation (GMFA), the two-spin correlation functions of arbitrary range, the staggered…

Strongly Correlated Electrons · Physics 2015-05-13 A. A. Vladimirov , D. Ihle , N. M. Plakida

We analyze the normal phase of the attractive Hubbard model within dynamical mean-field-theory. We present results for the pair-density, the spin-susceptibility, the specific heat, the momentum distribution, and for the quasiparticle…

Strongly Correlated Electrons · Physics 2007-05-23 M. Keller , W. Metzner , U. Schollwoeck

Computing momentum-dependent susceptibilities in the dynamical mean-field theory (DMFT) requires solving the Bethe-Salpeter equation, which demands large computational cost. Exploiting the strong-coupling feature of local fluctuations, we…

Strongly Correlated Electrons · Physics 2019-04-25 Junya Otsuki , Kazuyoshi Yoshimi , Hiroshi Shinaoka , Yusuke Nomura

A perturbation theory scheme in terms of electron hopping, which is based on the Wick theorem for Hubbard operators, is developed. Diagrammatic series contain single-site vertices connected by hopping lines and it is shown that for each…

Strongly Correlated Electrons · Physics 2009-10-31 A. M. Shvaika

Dynamical Mean-Field Theory (DMFT) has opened new perspectives for the investigation of strongly correlated electron systems and greatly improved our understanding of correlation effects in models and materials. In contrast to…

Strongly Correlated Electrons · Physics 2020-07-16 Dieter Vollhardt
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