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Related papers: Cellular Dynamical Mean Field Approach to Strongly…

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We propose a hybrid approach which employs the dynamical mean-field theory (DMFT) self-energy for the correlated, typically rather localized orbitals and a conventional density functional theory (DFT) exchange-correlation potential for the…

Strongly Correlated Electrons · Physics 2021-06-16 Sumanta Bhandary , Karsten Held

Cell motility is one of the most fundamental phenomena underlying biological processes that maintain living organisms alive. Here we introduce a simple model to describe the motility of cells which include not only time-correlated internal…

Biological Physics · Physics 2022-07-13 T. N. Azevedo , L. G. Rizzi

We revisit the cellular dynamical mean-field theory (CDMFT) for the single band Hubbard model on the square lattice at half filling, reaching real-space cluster sizes of up to 9 x 9 sites. Using benchmarks against direct lattice…

Strongly Correlated Electrons · Physics 2020-09-30 Marcel Klett , Nils Wentzell , Thomas Schäfer , Fedor Simkovic , Olivier Parcollet , Sabine Andergassen , Philipp Hansmann

It is well known that cellular dynamical mean-field theory (CDMFT) leads to the artificial breaking of translation invariance. In spite of this, it is one of the most successful methods to treat strongly correlated electrons systems. Here,…

Strongly Correlated Electrons · Physics 2020-01-01 S. Verret , J. Roy , A. Foley , M. Charlebois , D. Sénéchal , A. -M. S. Tremblay

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

Dynamical mean-field approximations are performed to study the phase transition of a pair contact process with diffusion in different spatial dimensions. The level of approximation is extended up to 18-site clusters for the one-dimensional…

Statistical Mechanics · Physics 2007-05-23 Attila Szolnoki

In this talk I describe a recently introduced field-theoretical approach that can be used as an alternative framework to study one-dimensional systems of highly correlated particles.

High Energy Physics - Theory · Physics 2009-10-30 Carlos M. Naon

Effective medium super-cell approximation method which is introduced for disordered systems is extended to a general case of interacting disordered systems. We found that the dynamical cluster approximation (DCA) and also the non local…

Strongly Correlated Electrons · Physics 2007-05-23 Rostam Moradian

The single-site dynamical mean field theory approximation to the double exchange model is found to exhibit a previously unnoticed instability, in which a well-defined ground state which is stable against small perturbations is found to be…

Strongly Correlated Electrons · Physics 2009-11-11 chungwei Lin , Andrew. J. Millis

This study aims at finding a method for constructing molecular dynamics like models using the formalism of cellular automata for fast simulation of fluid dynamic systems (including compressible phenomena). In as much as the results…

comp-gas · Physics 2009-09-25 Himanshu Agrawal

This paper introduces a novel approach for modelling time-varying connectivity in neuroimaging data, focusing on the slow fluctuations in synaptic efficacy that mediate neuronal dynamics. Building on the framework of Dynamic Causal…

Neurons and Cognition · Quantitative Biology 2024-12-05 Johan Medrano , Karl J. Friston , Peter Zeidman

For the first time the phenomenon of cellular structure coarsening are consistently analysed from the positions of kinetic, hydrodynamic and stochastodynamic theories of nonequilibrium statistical systems. Thereby micro-, meso- and…

Condensed Matter · Physics 2015-06-25 S. B. Goryachev

Many theories of nonlinear electrodynamics (NLED) that have been proposed in physical contexts involving strong fields are causal for weak fields but acausal for strong fields. We show that for any such theory there is a unique causal and…

High Energy Physics - Theory · Physics 2024-05-21 Jorge G. Russo , Paul K. Townsend

Cell-cell adhesion plays a vital role in the development and maintenance of multicellular organisms. One of its functions is regulation of cell migration, such as occurs, e.g. during embryogenesis or in cancer. In this work, we develop a…

Tissues and Organs · Quantitative Biology 2024-03-08 Anna Zhigun , Mabel Lizzy Rajendran

We propose a multiscale approach for predicting quantities in dynamical systems which is explicitly structured to extract information in both fine-to-coarse and coarse-to-fine directions. We envision this method being generally applicable…

Atmospheric and Oceanic Physics · Physics 2025-12-30 Karl Otness , Laure Zanna , Joan Bruna

The qualitative reliability of the dynamical mean field theory (DMFT) is investigated for systems in which either the actual carrier density or the effective carrier density is low, by comparing the exact perturbative and dynamical mean…

Strongly Correlated Electrons · Physics 2024-03-28 Anqi Mu , Zhiyuan Sun , Andrew J. Millis

We propose new approach for treatment of local and non-local interactions in correlated electronic systems, which uses self-energy and the two-particle irreducible vertices, obtained from (extended) dynamical mean-field theory, as an input…

Strongly Correlated Electrons · Physics 2019-03-12 A. A. Katanin

In [Phys. Rev. Lett. 128, 013001 (2022)] a novel ground state method was proposed. It has been suggested that this $i$-DMFT would be a method within one-particle reduced density matrix functional theory (DMFT), capable of describing…

Quantum Physics · Physics 2022-02-14 Lexin Ding , Julia Liebert , Christian Schilling

The proposed stochastic model for pedestrian dynamics is based on existing approaches using cellular automata, combined with substantial extensions, to compensate the deficiencies resulting of the discrete grid structure. This agent motion…

Physics and Society · Physics 2021-04-01 Michael Schultz

Recently, dynamical mean field theory calculations have shown that kinks emerge in the real part of the self energy of strongly correlated metals close to the Fermi level. This gives rise to a similar behavior in the quasi-particle…

Strongly Correlated Electrons · Physics 2013-02-13 A. Kainz , A. Toschi , R. Peters , K. Held