SKM 2021 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 9: Poster Session: Correlated Electrons

TT 9.25: Poster

Tuesday, September 28, 2021, 13:30–16:00, P

The one-dimensional Long-Range Falikov-Kimball Model: Thermal Phase Transition and Disorder-Free Localisation — •Thomas Hodson¹, Josef Willsher², and Johannes Knolle^2,3,1 — ¹Blackett Laboratory, Imperial College London, London SW72AZ, United Kingdom — ²Department of Physics TQM, Technische Universit at Munchen,James-Franck-Strasse 1, D-85748 Garching, Germany — ³Munich Center for Quantum Science and Technology (MCQST), 80799 Munich, Germany

Disorder or interactions can turn metals into insulators. One of the simplest settings to study this physics is given by the FK model, which describes itinerant fermions interacting with a classical Ising background field. Despite the translational invariance of the model, inhomogenous configurations of the background field give rise to effective disorder physics which lead to a rich phase diagram in two (or more) dimensions with finite temperature charge density wave (CDW) transitions and interaction-tuned Anderson versus Mott localized phases. Here, we propose a generalised FK model in one dimension with long-range interactions which shows a similarly rich phase diagram. We use an exact Markov Chain Monte Carlo method to map the phase diagram and compute the energy resolved localisation properties of the fermions. We compare the behaviour of this transitionally invariant model to an Anderson model of uncorrelated binary disorder about a background CDW field which confirms that the fermionic sector only fully localizes for very large system sizes.