Autumn School on Correlated Electrons: Topology and Entanglement in Strongly-Correlated Materials

Click here to view more about the online workshop: https://www.cond-mat.de/events/correl20/index.html

Click here to apply: https://www.cond-mat.de/events/correl20/register.php

Entanglement  and  topology  are  key  aspects  in  many-body  physics.  Understanding  the associated  emergent  phenomena  beyond  toy  models  —in  the  world  of real  strongly-correlated   materials—   requires   to   master   a   wealth   of   different   methods.   These encompass  analytical  tools  such  as  group  theory,  first  principles  techniques  based  on density-functional   theory,   materials-specific   model-building   schemes,   as   well   as advanced modern numerical approaches for solving realistic many-body models.

The goal of this year’s school is to provide students with an overview of the state-of-the art of these methods, their successes and their limitations. After introducing the basics, lectures  will  present  the  core  concepts  of  topology  and  entanglement  in  many-body systems. Next, strategies for building materials specific models and solution techniques will  be  introduced.  Among  the  latter,  the  school  will  cover  quantum  Monte  Carlo methods,  construction  and  optimization  of  correlated  wave-functions,  recursion  and renormalization  group  techniques,  as  well  as  dynamical  mean-field  theory.  More advanced  lectures  will  give  a  pedagogical  overview  on  topological  materials  and  their physics:  topological  semimetals,  topological  superconductors,  and  topological  Kondo systems.  Towards  the  end  of  the  school  entanglement  in  quantum  dynamics  and perspectives in quantum computation will be discussed.