The Hubbard dimer: a density functional case study of a many-body problem
This review explains the relationship between density functional theory and strongly
correlated models using the simplest possible example, the two-site Hubbard model. The …
correlated models using the simplest possible example, the two-site Hubbard model. The …
Density functionals and model Hamiltonians: Pillars of many-particle physics
K Capelle, VL Campo Jr - Physics Reports, 2013 - Elsevier
Density-functional theory (DFT) and model Hamiltonians are conceptually distinct
approaches to the many-particle problem, which can be developed and applied …
approaches to the many-particle problem, which can be developed and applied …
Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
We study the charge conductivity in one-dimensional prototype models of interacting
particles, such as the Hubbard and the tV spinless fermion models, when coupled to some …
particles, such as the Hubbard and the tV spinless fermion models, when coupled to some …
Kadanoff-Baym dynamics of Hubbard clusters: Performance of many-body schemes, correlation-induced damping and multiple steady and quasi-steady states
M Puig von Friesen, C Verdozzi, CO Almbladh - Physical Review B …, 2010 - APS
We present in detail a method we recently introduced [Phys. Rev. Lett. 103, 176404 (2009)
10.1103/PhysRevLett. 103.176404] to describe finite systems in and out of equilibrium …
10.1103/PhysRevLett. 103.176404] to describe finite systems in and out of equilibrium …
Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics
We revisit early suggestions to observe spin-charge separation (SCS) in cold-atom settings
in the time domain by studying one-dimensional repulsive Fermi gases in a harmonic …
in the time domain by studying one-dimensional repulsive Fermi gases in a harmonic …
Time-Dependent Density-Functional Theory Meets Dynamical Mean-Field Theory:<? format?> Real-Time Dynamics for the 3D Hubbard Model
D Karlsson, A Privitera, C Verdozzi - Physical review letters, 2011 - APS
We introduce a new class of exchange-correlation potentials for a static and time-dependent
density-functional theory of strongly correlated systems in 3D. The potentials are obtained …
density-functional theory of strongly correlated systems in 3D. The potentials are obtained …
Lattice density functional theory at finite temperature with strongly density-dependent exchange-correlation potentials
The derivative discontinuity of the exchange-correlation (xc) energy at an integer particle
number is a property of the exact, unknown xc functional of density functional theory (DFT) …
number is a property of the exact, unknown xc functional of density functional theory (DFT) …
Some open questions in TDDFT: Clues from lattice models and Kadanoff–Baym dynamics
C Verdozzi, D Karlsson, MP von Friesen, CO Almbladh… - Chemical Physics, 2011 - Elsevier
Two aspects of TDDFT, the linear response approach and the adiabatic local density
approximation, are examined from the perspective of lattice models. To this end, we review …
approximation, are examined from the perspective of lattice models. To this end, we review …
Interacting fermions in one-dimensional disordered lattices: Exploring localization and transport properties with lattice density-functional theories
V Vettchinkina, A Kartsev, D Karlsson… - Physical Review B …, 2013 - APS
We investigate the static and dynamical behavior of one-dimensional interacting fermions in
disordered Hubbard chains contacted to semi-infinite leads. The chains are described via …
disordered Hubbard chains contacted to semi-infinite leads. The chains are described via …
Adiabatic and local approximations for the Kohn-Sham potential in time-dependent Hubbard chains
L Mancini, JD Ramsden, MJP Hodgson, RW Godby - Physical Review B, 2014 - APS
We obtain the exact Kohn-Sham potentials V KS of time-dependent density-functional theory
for one-dimensional Hubbard chains, driven by a dc external field, using the time-dependent …
for one-dimensional Hubbard chains, driven by a dc external field, using the time-dependent …