Dresden 2020 – wissenschaftliches Programm

Die DPG-Frühjahrstagung in Dresden musste abgesagt werden! Lesen Sie mehr ...

Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

TT: Fachverband Tiefe Temperaturen

TT 70: Correlated Electrons: Charge Order

TT 70.5: Vortrag

Freitag, 20. März 2020, 10:30–10:45, HSZ 103

Disorder-Free Localisation and Mobility Edges in a Long Ranged Falikov-Kimball Model — •Thomas Hodson1 and Johannes Knolle1,21Imperial College London — 2Technische Universität München

We study the interplay of long range interactions and disorder-free localisation in a generalised Falikov-Kimbal model. The power law interactions induce a charge density wave (CDW) phase transition at non-zero temperature in the ionic degrees of freedom. The CDW splits the spectrum of the electronic degrees of freedom and thermal fluctuations about it lead to an unusual mobility edge in one dimension for the electronic degrees of freedom. The two point correlator of this emergent disorder potential can be tuned via the temperature of the system.

Using a combination of exact diagonalisation and Markov Chain Monte Carlo we compute the energy resolved localisation properties of the electrons in one dimension. The finite size scaling of the energy resolved inverse participation ratio and the localisation length computed via a transfer matrix approach both provide numerical evidence for the existence of a mobility edge in the system. We compare the localisation behaviour to a simple Anderson model with spatially correlated binary disorder potential.

100% | Mobil-Ansicht | English Version | Kontakt/Impressum/Datenschutz
DPG-Physik > DPG-Verhandlungen > 2020 > Dresden