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TYC DMFT mini-workshop – Correlations, Topology, and Entanglement in Materials

30 May 2024 @ 1:00 pm 6:00 pm

Venue: Bush House SE 2.12 

Dynamical mean-field theory (DMFT) and its extensions offer a non-perturbative description of electronic correlations, allowing us to elucidate the nature of the Mott transition and Kondo physics, to name just a few. With advancing methodologies and algorithms, we are now able to tackle phenomena beyond (standard) spectral and optical properties of correlated materials.

In this mini workshop, we will delve into the intricate interplay between correlations, topology and entanglement. Many-body physics can lead to new topological phases, in addition to challenging the stability of topological signatures (e.g., quantized currents) derived for non-interacting systems. In turn, correlations and entanglement have long been intertwined in quantum information theory. We will hear about topological Mott insulators and recent incursions of entropy measures into the realm of many-body physics, shedding new light on the correlated electron problem.


Mott insulators with boundary zeros – Giorgio Sangiovanni, Universität Würzburg, Germany
Abstract: In the recent literature, the concept of topological Mott insulator has been spelled out in quite different ways. Most of the proposed realizations rely either on Hartree-Fock approximations or on appropriately defined auxiliary degrees of freedom. I will discuss a novel, remarkably simple way of describing a topological Mott insulator without long-range order based on the topological properties of their Green’s function zeros in momentum space. After discussing the fate of the bulk-boundary correspondence in these systems, I will show how the zeros can be seen as a form of “topological antimatter” with distinctive features associated to the annihilation with conventional topologically protected edge modes.

Quantum and classical correlations close to a Mott insulator – Giovanni Sordi, Royal Holloway, University of London, UK
Abstract: Quantum and classical correlations among electrons in interacting systems generate remarkable phases of matter. Quantum information theory provides new concepts, based on the entanglement, for characterizing phases of matter and phase transitions in such systems. I’ll show that entanglement-related properties shed new light on the pseudogap and on the strongly correlated superconductivity emerging from a doped Mott insulator. I’ll review recent work on this problem in the context of the two-dimensional Hubbard model at finite temperature, solved with cluster dynamical mean-field theory and with a focus on key measures of correlations — thermodynamic entropy, local entropy, and total mutual information. I’ll show that the unveiled links between quantum and classical correlations provide a unified framework for the phenomenology of hole-doped cuprates and predictions for ultracold atoms loaded in optical lattices.

Preliminary Agenda
13:00-13:50 DMFT for the gifted amateur (Pre-workshop tutorial) – Jan M Tomczak
14:00-15:00 Mott insulators with boundary zeros – Giorgio Sangiovanni
15:00-15:15 Coffee Break
15:15-16:15 Quantum and classical correlations close to a Mott insulator – Giovanni Sordi
16:15-16:30 Break
16:30-17:30 Contributed talks by early career researchers

Early career researchers (PhD students and postdocs) working on relevant topics are strongly encouraged to apply for a contributed talk (15 mins + 5-min Q&A); please complete the registration and send your CV to jan.tomczak@kcl.ac.uk by Friday 3 May for consideration.

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