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We apply a computationally efficient approach to study the time- and energy-resolved spectral properties of a two-site Hubbard model using the nonequilibrium Green's function formalism. By employing the iterative generalized Kadanoff-Baym…

Strongly Correlated Electrons · Physics 2025-06-04 Yaroslav Pavlyukh , Riku Tuovinen

Using a local moment approach of Logan et al. we developed a solver for a multi-orbital single impurity Anderson model. The existence of the local moments is taken from the outset and their values are determined through variational…

Strongly Correlated Electrons · Physics 2009-11-11 Anna Kauch , Krzysztof Byczuk

Dynamical Mean Field Theory (DMFT) provides an asymptotic description of the dynamics of macroscopic observables in certain disordered systems. Originally pioneered in the context of spin glasses by Sompolinsky and Zippelius (1982), it has…

Disordered Systems and Neural Networks · Physics 2026-03-17 Yatin Dandi , David Gamarnik , Francisco Pernice , Lenka Zdeborová

We have developed a new efficient and accurate impurity solver for the single impurity Anderson model (SIAM), which is based on a non-perturbative recursion technique in a space of operators and involves expanding the self-energy as a…

Strongly Correlated Electrons · Physics 2008-10-21 Jean-Pierre Julien , R. C. Albers

An investigation is presented of the utility of semiclassical approximations for solving the quantum-impurity problems arising in the dynamical-mean-field approach to the correlated-electron models. The method is based on performing a exact…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Okamoto , Andreas Fuhrmann , Armin Comanac , Andrew J. Millis

In this comparative study we benchmark a recently developed non-adiabatic exchange-correlation potential within time-dependent density functional theory (TDDFT) (Phys.\ Rev.\ Lett.\ {\bf 120}, 157701 (2018)) by (a) validating the transient…

Statistical Mechanics · Physics 2019-02-20 Niklas Dittmann , Nicole Helbig , Dante M. Kennes

We propose using an equation-of-motion approach as an impurity solver for dynamical mean field theory. As an illustration of this technique, we consider a finite-$U$ Hubbard model defined on the Bethe lattice with infinite connectivity at…

Strongly Correlated Electrons · Physics 2007-05-23 Jian-Xin Zhu , R. C. Albers , J. M. Wills

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

We propose a mixed-configuration approximation based on single-band impurity solvers to efficiently study nonequilibrium multi-orbital systems at moderate computational cost. In this work, we merge the approach with the so-called auxiliary…

Strongly Correlated Electrons · Physics 2025-07-16 Tommaso Maria Mazzocchi , Daniel Werner , Markus Aichhorn , Enrico Arrigoni

We present an implementation of the hybridization expansion impurity solver which employs sparse matrix exact-diagonalization techniques to compute the time evolution of the local Hamiltonian. This method avoids computationally expensive…

Strongly Correlated Electrons · Physics 2009-12-12 Andreas Laeuchli , Philipp Werner

We develop the extended dynamical mean field theory (E-DMFT) with a view towards realistic applications. {\bf 1)} We introduce an intuitive derivation of the E-DMFT formalism. By identifying the Hartree contributions before the E-DMFT…

Strongly Correlated Electrons · Physics 2009-11-07 Ping Sun , Gabriel Kotliar

Density of states, dynamic (optical) conductivity and phase diagram of strongly correlated and strongly disordered paramagnetic Anderson-Hubbard model are analyzed within the generalized dynamical mean field theory (DMFT+\Sigma…

Strongly Correlated Electrons · Physics 2009-11-13 E. Z. Kuchinskii , I. A. Nekrasov , M. V. Sadovskii

We demonstrate an algebraic construction of frequency-dependent bath orbitals which can be used in a robust and rigorously self-consistent DMFT-like embedding method, here called $\omega-$DMFT, suitable for use with Hamiltonian-based…

Strongly Correlated Electrons · Physics 2020-02-05 Max Nusspickel , George H. Booth

Raman spectroscopy uses light scattering to extract information on low-energy excitations of solids. The Raman process is described by diagrams which are fourth order in the light-matter interaction, and in particular the resonant…

Strongly Correlated Electrons · Physics 2024-01-30 Philipp Werner , Martin Eckstein , Naoto Tsuji

Defect-induced magnetic moments are at the center of the research effort on spintronic applications of graphene. Here we study the problem of a nonmagnetic impurity in graphene with a new theoretical method, inhomogeneous cluster dynamical…

Strongly Correlated Electrons · Physics 2015-04-10 M. Charlebois , D. Sénéchal , A. -M. Gagnon , A. -M. S. Tremblay

The quantization of the electromagnetic field in a three-dimensional inhomogeneous dielectric medium with losses is carried out in the framework of a damped-polariton model with an arbitrary spatial dependence of its parameters. The…

Quantum Physics · Physics 2018-08-17 L. G. Suttorp , M. Wubs

Dynamical mean-field theory (DMFT) provides an optimal local approximation for correlated lattice systems by mapping the lattice onto a self-consistent effective impurity model. To account for the missing long-range correlations, we propose…

Strongly Correlated Electrons · Physics 2026-03-04 S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

The description of the dynamics of correlated electrons in quantum impurity models is typically described within the nonequilibrium Green function formalism combined with a suitable approximation. One common approach is based on the…

Strongly Correlated Electrons · Physics 2013-06-26 Tal J. Levy , Eran Rabani

We introduce a framework for describing the real-time dynamics of quantum impurity models out of equilibrium which is based on the influence matrix approach. By replacing the dynamical map of a large fermionic quantum environment with an…

Strongly Correlated Electrons · Physics 2025-11-12 Michael Sonner , Valentin Link , Dmitry A. Abanin

We propose a minimal effective impurity model that captures the phenomenology of the Mott-Hubbard metal-insulator transition (MIT) of the half-filled Hubbard model on the Bethe lattice in infinite dimensions as observed by dynamical mean…

Strongly Correlated Electrons · Physics 2023-11-14 Abhirup Mukherjee , N. S. Vidhyadhiraja , A. Taraphder , Siddhartha Lal
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