From 1c93c9c6a7d2af03a184368c2d7d0749786e2279 Mon Sep 17 00:00:00 2001 From: Tom Hodson Date: Fri, 26 Mar 2021 14:47:59 +0100 Subject: [PATCH] add paper! --- ...1-03-22-the-long-range-falikov-kimball-model.md | 14 ++++++++++++++ 1 file changed, 14 insertions(+) create mode 100644 _publications/2021-03-22-the-long-range-falikov-kimball-model.md diff --git a/_publications/2021-03-22-the-long-range-falikov-kimball-model.md b/_publications/2021-03-22-the-long-range-falikov-kimball-model.md new file mode 100644 index 0000000..a2c1916 --- /dev/null +++ b/_publications/2021-03-22-the-long-range-falikov-kimball-model.md @@ -0,0 +1,14 @@ +--- +title: "The one-dimensional Long-Range Falikov-Kimball Model: Thermal Phase Transition and Disorder-Free Localisation" +collection: publications +permalink: /publication/2021-03-22-the-long-range-falikov-kimball-model.md +excerpt: 'Disorder or interactions can turn metals into insulators. One of the simplest settings to study this physics is given by the Falikov-Kimball model, which describes itinerant fermions interacting with a classical Ising background field.' +date: 2021-03-22 +venue: 'arXiv' +paperurl: 'https://arxiv.org/abs/2103.11735' +citation: 'T. Hodson, J. Wilsher, J.Knolle (2021). "The one-dimensional Long-Range Falikov-Kimball Model: Thermal Phase Transition and Disorder-Free Localisation' +--- + +Disorder or interactions can turn metals into insulators. One of the simplest settings to study this physics is given by the Falikov-Kimball 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 Falikov-Kimball 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. + +https://arxiv.org/abs/2103.11735 \ No newline at end of file