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The conserving approximation scheme to many-body problems was developed by Kadanoff and Baym using the functional-derivative approach. Another approach for the Hubbard model also satisfies conservation laws, but in addition it satisfies the…

Strongly Correlated Electrons · Physics 2007-05-23 S. Allen , A. -M. S. Tremblay , Y. M. Vilk

We have studied nonequilibrium dynamics of the one-dimensional Hubbard model using the generalized hydrodynamic theory. We mainly investigated the spatio-temporal profile of charge density, energy density and their currents using the…

Statistical Mechanics · Physics 2020-01-22 Yuji Nozawa , Hirokazu Tsunetsugu

We start with a variational approach and derive a set of coupled integral equations for the bound states of $N$ identical spin-$\uparrow$ fermions and a single spin-$\downarrow$ fermion in a generic multiband Hubbard Hamiltonian with an…

Quantum Gases · Physics 2022-09-08 M. Iskin , A. Keleş

We study the Hubbard model with time-reversal invariant flux and spin-orbit coupling and position-dependent onsite energies on the kagome lattice, using numerical and analytical methods. In particular, we perform calculations using real…

Strongly Correlated Electrons · Physics 2022-06-08 Irakli Titvinidze , Julian Legendre , Karyn Le Hur , Walter Hofstetter

We put forward a practical nonequilibrium Green's function (NEGF) scheme to perform real-time evolutions of many-body interacting systems driven out of equilibrium by external fields. CHEERS is a computational tool to solve the NEGF…

Other Condensed Matter · Physics 2018-10-09 E. Perfetto , G. Stefanucci

The nonperturbative nature of nucleon-nucleon interactions evolved to low momentum has recently been investigated in free space and at finite density using Weinberg eigenvalues as a diagnostic. This analysis is extended here to the…

Nuclear Theory · Physics 2008-11-26 S. Ramanan , S. K. Bogner , R. J. Furnstahl

Using a dynamic cluster quantum Monte Carlo approximation, we study a two-dimensional Hubbard model with a small orthorhombic distortion in the nearest neighbor hopping integrals. We find a large nematic response in the low-frequency…

Superconductivity · Physics 2015-05-30 Shi-Quan Su , Thomas A. Maier

Starting from the (Hubbard) model of an atom, we demonstrate that the uniqueness of the mapping from the interacting to the noninteracting Green's function, $G\to G_0$, is strongly violated, by providing numerous explicit examples of…

Strongly Correlated Electrons · Physics 2017-08-08 O. Gunnarsson , G. Rohringer , T. Schäfer , G. Sangiovanni , A. Toschi

This study examines how the GW approximation, one of the techniques covered by Green's functions and on many-body approximations (GFMBA), fares compared to the treatment of the Hubbard model solved using an exact diagonalization (ED)…

Strongly Correlated Electrons · Physics 2022-12-08 Antoine Honet , Luc Henrard , Vincent Meunier

Dynamic Hubbard models are extensions of the conventional Hubbard model that take into account the fact that atomic orbitals expand upon double occupancy. It is shown here that systems described by dynamic Hubbard models have a tendency to…

Strongly Correlated Electrons · Physics 2013-07-25 J. E. Hirsch

A self-energy-functional approach is applied to construct cluster approximations for correlated lattice models. It turns out that the cluster-perturbation theory (Senechal et al, PRL 84, 522 (2000)) and the cellular dynamical mean-field…

Strongly Correlated Electrons · Physics 2007-05-23 M. Potthoff , M. Aichhorn , C. Dahnken

We consider the out-of-equilibrium dynamics of the Heisenberg anisotropic quantum spin--$1/2$ chain threaded by a time-dependent magnetic flux. In the spirit of the recently developed generalized hydrodynamics (GHD), we exploit the…

Statistical Mechanics · Physics 2019-06-26 A. Bastianello , A. De Luca

The optical conductivity contains information about energy absorption and the underlying physical processes. In finite-dimensional systems, vertex corrections to the bare bubble need to be considered, which is a computationally challenging…

Strongly Correlated Electrons · Physics 2021-12-22 Olivier Simard , Martin Eckstein , Philipp Werner

A recently introduced particle-based model for fluid dynamics with effective excluded volume interactions is analyzed in detail. The interactions are modeled by means of stochastic multiparticle collisions which are biased and depend on…

Soft Condensed Matter · Physics 2007-05-23 Thomas Ihle , Erkan Tuzel

The theoretical description of strongly correlated quantum systems out of equilibrium presents several challenges and a number of open questions persist. In this paper we focus on nonlinear electronic transport through a quantum dot…

Strongly Correlated Electrons · Physics 2012-11-27 Prasenjit Dutt , Jens Koch , J. E. Han , Karyn Le Hur

We present results for many-body perturbation theory for the one-body Green's function at finite temperatures using the Matsubara formalism. Our method relies on the accurate representation of the single-particle states in standard Gaussian…

Strongly Correlated Electrons · Physics 2018-04-04 Michael Schüler , Yaroslav Pavlyukh

The imbalanced Hubbard model features a transition between dynamic regimes depending on the mass ratio and coupling strength between two different particle species. A slowdown of the lighter particle transport can be attributed to an…

Statistical Mechanics · Physics 2025-07-23 Mirko Daumann , Thomas Dahm

By generalizing a class of models recently introduced to account for protracted transients in biological systems, we identify a novel mechanism for hyperuniformity. In this model, competition of particles over a shared resource guides the…

Statistical Mechanics · Physics 2025-12-11 Tal Agranov , Natan Wiegenfeld , Omer Karin , Benjamin D. Simons

A closed set of coupled equations of motion for the description of time-dependent electron transport is derived. It provides the time evolution of energy-resolved quantities constructed from non-equilibrium Green functions. By means of an…

Mesoscale and Nanoscale Physics · Physics 2009-12-10 Alexander Croy , Ulf Saalmann

Considering von Neumann expression for reduced density matrix as thermodynamic entropy of a system strongly coupled to baths, we use nonequilibrium Green's function (NEGF) techniques to derive bath and energy resolved expressions for…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Nikhil Seshadri , Michael Galperin
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