The strong-interaction limit of density functional theory

G Friesecke, A Gerolin, P Gori-Giorgi - Density Functional Theory …, 2022 - Springer
This is a comprehensive review of the strong-interaction limit of density functional theory. It
covers the derivation of the limiting strictly correlated electrons (SCE) functional from exact …

Edge physics in two-dimensional topological insulators

G Dolcetto, M Sassetti, TL Schmidt - La Rivista del Nuovo Cimento, 2016 - Springer
Topology in condensed matter physics manifests itself in the emergence of edge or surface
states protected by underlying symmetries. We review two-dimensional topological …

Crystallization of levitons in the fractional quantum Hall regime

F Ronetti, L Vannucci, D Ferraro, T Jonckheere, J Rech… - Physical Review B, 2018 - APS
Using a periodic train of Lorentzian voltage pulses, which generates solitonlike electronic
excitations called levitons, we investigate the charge density backscattered off a quantum …

Interacting holes in a gated quantum channel: Valley correlations and zigzag Wigner crystal

J Pawłowski, D Miravet, M Bieniek, M Korkusinski… - Physical Review B, 2024 - APS
We present a theory of interacting valence holes in a gate-defined one-dimensional
quantum channel in a single layer of a transition metal dichalcogenide material WSe 2 …

One-dimensional few-electron effective Wigner crystal in quantum and classical regimes

DD Vu, S Das Sarma - Physical Review B, 2020 - APS
A system of confined charged electrons interacting via the long-range Coulomb force can
form a Wigner crystal due to their mutual repulsion. This happens when the potential energy …

Thermal effects on the Wigner localization and Friedel oscillations in many-electron nanowires

I Kylänpää, F Cavaliere, NT Ziani, M Sassetti… - Physical Review B, 2016 - APS
Thermal effects on the total charge density are studied for a one-dimensional correlated
quantum dot by means of the path integral Monte Carlo method. The competition between …

Pairing of a few Fermi atoms in one dimension

P D'Amico, M Rontani - Physical Review A, 2015 - APS
We study a few Fermi atoms interacting through attractive contact forces in a one-
dimensional trap by means of numerical exact diagonalization. From the combined analysis …

Kohn–Sham equations with functionals from the strictly-correlated regime: investigation with a spectral renormalization method

J Grossi, ZH Musslimani, M Seidl… - Journal of Physics …, 2020 - iopscience.iop.org
We re-adapt a spectral renormalization method, introduced in nonlinear optics, to solve the
Kohn–Sham (KS) equations of density functional theory, with a focus on functionals based …

Fermionic versus bosonic behavior of confined Wigner molecules

E Cuestas, PA Bouvrie, AP Majtey - Physical Review A, 2020 - APS
We assess whether a confined Wigner molecule constituted by 2 N fermions behaves as N
bosons or 2 N fermions. Following the work by Law [Phys. Rev. A 71, 034306 (2005) …

Spin textures of strongly correlated spin Hall quantum dots

G Dolcetto, NT Ziani, M Biggio… - physica status solidi …, 2013 - Wiley Online Library
We study the spin ordering of a quantum dot defined via magnetic barriers in an interacting
quantum spin Hall edge. The spin‐resolved density–density correlation functions are …