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Update LR-FK model publication to include PRB link

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Tom Hodson 2021-10-15 14:57:52 +01:00
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README.md
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@ -5,3 +5,6 @@ Generates my personal website. I copied (rather than forked to preserve previous
- add my first paper!
- fix the OG tags so that https://cards-dev.twitter.com/validator works
- figure out how to integrate a jupyter notebook
## Notes
Use `bundle exec jekyll serve` to do local development of this site

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_publications/2021-03-22-the-long-range-falikov-kimball-model.md
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---
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
permalink: /publication/2021-03-22-the-long-range-falikov-kimball-model
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'
venue: 'Physics Review B'
paperurl: 'https://journals.aps.org/prb/abstract/10.1103/PhysRevB.104.045116'
# 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
Read it on [arXiv](https://arxiv.org/abs/2103.11735) or
[PRB](https://journals.aps.org/prb/abstract/10.1103/PhysRevB.104.045116)