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Correlated materials are extremely sensitive to external stimuli, such as temperature or pressure. Describing the electronic properties of such systems often requires applying many-body techniques to effective low energy problems in the…

强关联电子 · 物理学 2009-07-09 Jan M. Tomczak , T. Miyake , R. Sakuma , F. Aryasetiawan

We study problems in which a local model is coupled with a nonlocal one. We propose two energies: both of them are based on the same classical weighted $H^1$-semi norm to model the local part, while two different weighted $H^s$-semi norms,…

数值分析 · 数学 2025-05-27 Juan Pablo Borthagaray , Patrick Ciarlet

To expand the framework available for interpreting experiments on disordered strongly correlated systems, and in particular to explore further the strong-coupling zero-bias anomaly found in the Anderson-Hubbard model, we ask how this…

强关联电子 · 物理学 2015-06-04 Hong-Yi Chen , W. A. Atkinson , R. Wortis

Conductivity is one of the most direct probes of electronic systems, yet its theoretical description remains challenging in the presence of strong non-local correlations. In this Letter, we analyze the conductivity of the half-filled…

We analyze the role of spatial electronic correlations and, in particular, of the magnetic fluctuations in Mott insulators. A half-filled Hubbard model is solved at large strength of the repulsion U on a two-dimensional square lattice using…

强关联电子 · 物理学 2024-02-19 Evgeny A. Stepanov , Maria Chatzieleftheriou , Niklas Wagner , Giorgio Sangiovanni

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…

强关联电子 · 物理学 2012-09-25 Georg Rohringer , Angelo Valli , Alessandro Toschi

The puzzling electronic correlation effects in the sodium cobaltate system are studied by means of the combination of density functional theory and the rotationally invariant slave boson (RISB) method in a cellular-cluster approach.…

强关联电子 · 物理学 2013-04-30 Christoph Piefke , Lewin Boehnke , Antoine Georges , Frank Lechermann

Density functionals for nuclei usually include an effective 3-body interaction that depends on a fractional power of the density. Using insights from the many-body theory of the low-density two-component Fermi gas, we consider a new,…

核理论 · 物理学 2010-11-19 Alexandros Gezerlis , G. F. Bertsch

In the model considered, the nonlocal interaction of the fermions in different sublattices of a bipartite lattice is introduced. It can also be regarded as local interaction of fermions with opposite ``hypercharge''. The corresponding term…

超导电性 · 物理学 2007-05-23 Eugene Pivovarov

A recent work [arXiv:2401.04685] has merged $N$-centered ensembles of neutral and charged electronic ground states with ensembles of neutral ground and excited states, thus providing a general and in-principle exact (so-called extended…

强关联电子 · 物理学 2024-05-14 Filip Cernatic , Emmanuel Fromager

A first-principles computational method with self-consistent on-site and inter-site Hubbard functionals is able to treat local and non-local Coulomb interactions on an equal footing. To apply the method to understand solids with strong…

材料科学 · 物理学 2024-10-17 Wooil Yang , Young-Woo Son

The ground state of the two-dimensional (2D) Hubbard model is investigated by adopting improved wave functions that take into account intersite electron correlation beyond the Gutzwiller ansatz. The ground-state energy is lowered…

强关联电子 · 物理学 2016-11-09 Takashi Yanagisawa

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…

强关联电子 · 物理学 2008-02-03 Hal Tasaki

We develop a cubic scaling approach to excited-state-specific second order perturbation theory in which the completeness of a local correlation treatment is carefully matched between the ground and excited state. With this matching, the…

化学物理 · 物理学 2025-05-14 Rachel Clune , Eric Neuscamman

We formulate a low-energy theory for the magnetic interactions between electrons in the multi-band Hubbard model under non-equilibrium conditions determined by an external time-dependent electric field which simulates laser-induced spin…

强关联电子 · 物理学 2013-04-11 Andrea Secchi , Sergei Brener , Alexander I. Lichtenstein , Mikhail I. Katsnelson

We compute the perturbative expansion for the effective interaction $W$ of the half-filled 2-dimensional Hubbard model. We derive extensions of standard RPA resummations that include arbitrarily high order contributions in the…

强关联电子 · 物理学 2023-07-06 Daria Gazizova , J. P. F. LeBlanc

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…

强关联电子 · 物理学 2019-03-12 A. A. Katanin

We study the non-equilibrium dynamics of the Luttinger model after suddenly turning on and off the bare Coulomb interaction between the fermions. We analyze several correlation functions such as the one particle density matrix and vertex…

强关联电子 · 物理学 2015-06-12 N. Nessi , A. Iucci

We develop a general theory of a boson decomposition for both local and non-local interactions in lattice fermion models which allows us to describe fermionic degrees of freedom and collective charge and spin excitations on equal footing.…

强关联电子 · 物理学 2015-05-28 A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein

The Hubbard model on a cube was revisited and extended by both nearest-neighbor (nn) Coulomb correlation and {nearest-neighbor} Heisenberg exchange. The complete eigensystem was computed exactly for all electron occupancies and all model…

强关联电子 · 物理学 2015-05-13 Rolf Schumann , David Zwicker