Objectif Quantum matter is condensed matter which properties are dominated by the quantum nature of its constituents. The two most fundamental properties of quantum mechanics are interference and entanglement. How do these properties, and their derivatives, show up in an experiment? And how does one control them? These are the fundamental questions addressed in this proposal.The study is divided into three main parts: many-body localization, topological insulator nanowires, and topological semimetals. Many-body localization is concerned with the interplay of interference and entanglement and is central to questions about quantum thermalization. I aim to understand experimental signatures of many-body localization as well as devising simulation schemes that allow us to conduct numerical experiments on many-body localization for larger system sizes than has been so far possible. The interplay of interference, topology and geometry is the central theme of the topic of topological insulator nanowires. I have in the past theoretically demonstrated the signatures of fundamental quantum phenomena in these systems, including perfectly transmitted mode and Majorana fermions. The major goal of this part of the project is to collaborate closely with experimental groups seeking to verify my past theories, by providing new and more detailed predictions for these systems. This requires to further understand experimental details, develop certain theoretical devices and simulation techniques based on them. The final part on topological semimetals is particularly timely in view of recent experimental realizations of Dirac semimetals and the impending realization of Weyl semimetals, which both can be roughly thought of as 3D analogs of graphene. I seek to understand their unique transport signatures and the interplay of disorder with 3D Dirac fermions. The three parts feed into and from each other both through unified concepts and common methodology. Champ scientifique natural sciencesphysical scienceselectromagnetism and electronicselectromagnetismnatural sciencesphysical sciencesquantum physicsnatural sciencesphysical sciencestheoretical physicsparticle physicsfermionsnatural sciencesmathematicspure mathematicstopologynatural sciencesphysical scienceselectromagnetism and electronicssuperconductivity Programme(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Thème(s) ERC-StG-2015 - ERC Starting Grant Appel à propositions ERC-2015-STG Voir d’autres projets de cet appel Régime de financement ERC-STG - Starting Grant Institution d’accueil KUNGLIGA TEKNISKA HOEGSKOLAN Contribution nette de l'UE € 1 409 785,37 Adresse BRINELLVAGEN 8 100 44 Stockholm Suède Voir sur la carte Région Östra Sverige Stockholm Stockholms län Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 1 409 785,37 Bénéficiaires (2) Trier par ordre alphabétique Trier par contribution nette de l'UE Tout développer Tout réduire KUNGLIGA TEKNISKA HOEGSKOLAN Suède Contribution nette de l'UE € 1 409 785,37 Adresse BRINELLVAGEN 8 100 44 Stockholm Voir sur la carte Région Östra Sverige Stockholm Stockholms län Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 1 409 785,37 MAX-PLANCK-GESELLSCHAFT ZUR FORDERUNG DER WISSENSCHAFTEN EV Participation terminée Allemagne Contribution nette de l'UE € 90 214,63 Adresse HOFGARTENSTRASSE 8 80539 Munchen Voir sur la carte Région Bayern Oberbayern München, Kreisfreie Stadt Type d’activité Research Organisations Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 90 214,63