High-order Van Hove singularities and their connection to flat bands by Laura Classen, Joseph Betouras

“…Recent advances in theory and experiment made it possible to construct and tune systems with nearly flat bands, ranging from graphene multilayers and moir´e materials to kagom´e metals and ruthenates. While theoretical models predict exactly flat bands under certain ideal conditions, evidence was provided that these systems host high-order Van Hove points, i.e., points of high local band flatness and power-law divergence in energy of the density of states. …”
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Phase competition in quantum materials with higher order van Hove singularities by Alkistis Zervou

“…The motivation of this work came from the physics of Sr3Ru2O7, but the model we treat is very general. …”
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Fate of density waves in the presence of a higher-order van Hove singularity by Alkistis Zervou, Dmitry Efremov, Joseph Betouras

“…We discuss possible applications of our findings to a range of quantum materials such as Sr3Ru2O7, Sr2RuO4, and transition metal dichalcogenides. …”
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Supplementary information files for Fate of density waves in the presence of a higher-order van Hove singularity by Alkistis Zervou, Dmitry Efremov, Joseph Betouras

“…We discuss possible applications of our findings to a range of quantum materials such as Sr3Ru2O7, Sr2RuO4, and transition metal dichalcogenides.…”
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Effect of disorder on density of states and conductivity in higher-order Van Hove singularities in two-dimensional bands by Anirudh Chandrasekaran, Joseph Betouras

“…We study systems with energy bands in two dimensions, hosting higher order Van Hove singularities (HOVHS) in the presence of disorder, using standard diagrammatic techniques for impurity averaging. …”
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Electronic phases in twisted bilayer graphene at magic angles as a result of Van Hove singularities and interactions by Yury Sherkunov, Joseph Betouras

“…In this work we propose a microscopic model that takes into account interactions and the van Hove singularities in the density of states of the twisted bilayer graphene at doping corresponding to one particle (ν=1) per moir'{e} unit cell and study how superconductivity emerges. …”
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A practical method to detect, analyze, and engineer higher order Van Hove singularities in multi-band Hamiltonians by Anirudh Chandrasekaran, Joseph Betouras

“…A practical method is presented to detect, diagnose, and engineer higher order Van Hove singularities in multiband systems, with no restrictions on the number of bands or hopping terms. …”
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The van Hove distribution function for Brownian hard spheres: Dynamical test particle theory and computer simulations for bulk dynamics. by Paul Hopkins, Andrea Fortini, Andrew Archer, Matthias Schmidt

“…Our theory provides a means of calculating the van Hove distribution function by treating its self and distinct parts as the two components of a binary fluid mixture, with the “self ” component having only one particle, the “distinct” component consisting of all the other particles, and using DDFT to calculate the time evolution of the density profiles for the two components.We apply this approach to a bulk fluid of Brownian hard spheres and compare to results for the van Hove function and the intermediate scattering function from Brownian dynamics computer simulations. …”
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Dynamics in European exports in times of crisis: the impact on growth at home and abroad by Janez Kren, Huw Edwards, Jan Van Hove

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The Great Trade Collapse and the determinants of UK export margins: a cohort‐ and firm‐level matching approach by Mustapha Douch, Huw Edwards, Jan Van Hove, Janez Kren

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Multicritical Fermi Surface Topological Transitions by Dmitry Efremov, Alex Shtyk, Andreas W Rost, Claudio Chamon, Andrew P Mackenzie, Joseph Betouras

“…As a concrete example of the power of these Fermi surface topological transitions, we demonstrate how they can be used in the analysis of experimental data on Sr3Ru2O7. …”
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Dynamics in inhomogeneous liquids and glasses via the test particle limit by Andrew Archer, Paul Hopkins, Matthias Schmidt

“…We show that one may view the self-part and the distinct-part of the van Hove dynamic correlation function of a simple fluid as the one-body density distributions of a binary mixture that evolve in time according to dynamical density functional theory. …”
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Reactive Hall and Edelstein effects in a tight-binding model with spin-orbit coupling by Emmanouil K Kokkinis, Joseph Betouras, Xenophon Zotos

“…The reactive Hall constant RH, described by reactive (nondissipative) conductivities, is analyzed within linear response theory in the presence of spin-orbit interaction.Within a two-dimensional tight-binding model the effect of Van Hove singularities is studied. …”
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Nematic phase in a two-dimensional Hubbard model at weak coupling and finite temperature by Sergey Slizovskiy, Pablo Rodriguez-Lopez, Joseph Betouras

“…We explain the origin of the interaction-driven spontaneous symmetry breaking to a nematic phase in a system with several symmetry-related Van Hove points and discuss the required conditions.…”
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