Princeton University, Ph.D. 2016 Budapest University of Technology and Economics, M.Sc., B.Sc. 2010.
Andras has a Ph.D. in Physics from Princeton where he worked in the Yazdani lab working on strongly correlated and topological electronic systems. Currently,... Read more about Andras Gyenis
PhD 2015, Physics, Ecole Fédérale Polytechnique de Lausanne
Berthold received his PhD in physics from the Ecole Fédérale Polytechnique de Lausanne in 2015. He joined the Physics Department at Princeton University as a... Read more about Berthold Jaeck
Alicia Kollár was a Princeton Materials Science Postdoctoral Fellowship with Andrew Houck from 2017-2019, working on quantum simulation of solid-state physics... Read more about Alicia Kollár
Darius Sadri was postdoc in our group. He has a PhD from Stanford in string theory, did a postdoc in condensed matter theory, and is now learning to be a... Read more about Darius Sadri
Will E. "Coyote" Shanks was a post-doc in our lab. He earned his PhD at Yale measuring persistent currents in normal metal rings, and is now built a scanning... Read more about Will Shanks
The origin of many quantum-material phenomena is intimately related to the presence of flat electronic bands. In quantum simulation, such bands have been realized through line-graph lattices, a class of lattices known to exhibit flat bands. Based on that work, we conduct a high-throughput screening for line-graph lattices among the crystalline structures of the Materials Flatband Database and report on new candidates for line-graph materials and lattice models. In particular, we find materials with line-graph-lattice structures beyond the two most commonly known examples, the kagomé and pyrochlore lattices. We also identify materials which may exhibit flat topological bands. Finally, we examine the various line-graph lattices detected and highlight those with gapped flat bands and those most frequently represented among this set of materials. With the identification of real stoichiometric materials and theoretical lattice geometries, the results of this work may inform future studies of flat-band many-body physics in both condensed matter experiment and theory.
The geometric properties of a lattice can have profound consequences on its band spectrum. For example, symmetry constraints and geometric frustration can give rise to topologicially nontrivial and dispersionless bands, respectively. Line-graph lattices are a perfect example of both of these features: Their lowest energy bands are perfectly flat, and here we develop a formalism to connect some of their geometric properties with the presence or absence of fragile topology in their flat bands. This theoretical work will enable experimental studies of fragile topology in several types of line-graph lattices, most naturally suited to superconducting circuits.
