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Electrons in Solids: Fundamentals and Experiments M2 | Lieu : | Département de Physique de l'Ecole Normale supérieure
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region-content"> <div id="block-ens-theme-content" class="block block-system block-system-main-block"> <div class="node node--type-cours node--view-mode-full ds-1col clearfix"> <div class="group-header"> <h1> Electrons in Solids: Fundamentals and Experiments </h1> </div> <div class="group-content"> <div class="group-sidebar"> <div class="field--name-field-programme"> <div class="field__label field-label-above">Diplome(s)</div> <div class="field__item"><a href="https://www.phys.ens.fr/fr/formations/master-icfp">Master ICFP</a></div> <div class="field__item"><a href="https://www.phys.ens.fr/fr/formations/m2-icfp">M2 ICFP</a></div> </div> <div class="group-infos"> <div class="field field--name-field-lieu-cours field--type-entity-reference field--label-inline clearfix"> <div class="field__label">Lieu</div> <div class="field__items"> <div class="field__item">Sorbonne Université</div> </div> </div> <div class="field field--name-field-saison field--type-entity-reference field--label-hidden field__item">Automne - Hiver</div> <div class="group-niveau"> <span class="label-niveau field-label-inline">Niveau</span> <span class="libelle-niveau">Master 2</span> <span class="item-ects"> <span>6</span> ECTS</span> - <span class="cours-langue">En anglais</span> </div> <div class="field field--name-field-cours-obligatoire field--type-string field--label-hidden field__item">Cours obligatoire pour le parcours de Physique de la Matière Condensée M2</div> <div class="field--name-field-enseignants clearfix field--label-inline"> <span class="field__label field-label-inline">Enseignant(s)</span> <span class="user user--type-user user--view-mode-cours ds-1col clearfix"> <span class="nom-public"><a href="https://www.phys.ens.fr/fr/annuaire/92/andres-f-santander-syro">Andrés F. Santander-Syro</a></span> ( <span class="organismes"> <span>Université Paris-Saclay</span> </span> ) </span> <span class="user user--type-user user--view-mode-cours ds-1col clearfix"> <span class="nom-public"><a href="https://www.phys.ens.fr/fr/annuaire/93/marino-marsi">Marino MARSI</a></span> ( <span class="organismes"> <span>Université Paris-Saclay</span> </span> ) </span> <span class="user user--type-user user--view-mode-cours ds-1col clearfix"> <span class="nom-public"><a href="https://www.phys.ens.fr/fr/annuaire/94/luca-perfetti">Luca PERFETTI</a></span> ( <span class="organismes"> <span>Polytechnique</span> </span> ) </span> <span class="user user--type-user user--view-mode-cours ds-1col clearfix"> <span class="nom-public"><a href="https://www.phys.ens.fr/fr/annuaire/95/victor-baledent">Victor BALEDENT</a></span> ( <span class="organismes"> <span>Université Paris-Saclay</span> </span> ) </span> </div> </div> <div class="field field--name-field-bloc-contact field--type-entity-reference-revisions field--label-hidden field__item"><div class="paragraph paragraph--type-bloc-titre-texte paragraph--view-mode-default ds-1col clearfix"> <div class="field--name-field-titre italic-0"> Contact - Secrétariat de l’enseignement </div> <div class="clearfix text-formatted field field--name-field-texte field--type-text-long field--label-hidden field__item"><p><a href="mailto:enseignement@phys.ens.fr">enseignement@phys.ens.fr</a></p><p><br/> </p></div> </div> </div> </div> <div class="text-formatted field field--name-field-resume field--type-text-long"><p><span>The main goals of this course are to cover the fundamentals of the electronic properties of solids, and to provide the conceptual basis of selected modern experimental techniques used to investigate such properties.</span></p></div> <div class="field field--name-field-bloc-content field--type-entity-reference-revisions field--label-hidden field__items"> <div class="field__item"><div class="paragraph paragraph--type-bloc-texte paragraph--view-mode-default ds-1col clearfix"> <div class="text-formatted bg-0"> <p><span>The course will be closely connected with the formalisms and topics introduced in the “Theory of Condensed Matter” lectures. We will illustrate the essential concepts and experimental tools with a few representative research subjects of current interest: strongly correlated materials, high-temperature superconductivity, low-dimensional electronic systems, topological systems, etc. In addition, practical sessions in the lab or at Synchrotron SOLEIL will provide hands-on experience on the themes and materials discussed in the lectures.</span></p> </div> </div> </div> </div> <div class="field field--name-field-onglets field--type-entity-reference-revisions field--label-hidden field__items"> <div class="field__item"><div class="paragraph paragraph--type-bloc-titre-texte paragraph--view-mode-default ds-1col clearfix"> <div class="field--name-field-titre italic-0"> Syllabus </div> <div class="clearfix text-formatted field field--name-field-texte field--type-text-long field--label-hidden field__item"><ol><li><strong>Free electrons: joys and pitfalls of the naivest approach. </strong>Elementary concepts: Sommerfeld theory, density of states, electronic specific heat, paramagnetism. </li><li><strong>Direct and reciprocal lattices: breaking symmetries of free empty space is funnier!</strong> Concepts, X-ray and neutron diffraction, phonons (dispersion, interaction with electrons).</li><li><strong>Bloch’s theorem: consequences of living in a periodic world.</strong> Periodicity and emergence of energy bands in the single-electron approximation. </li><li><strong>Tight-binding approach: hop between neighbours and create your own band. </strong>Paradigmatic examples: cuprates, graphene. </li><li><strong>Surface effects: the restaurant at the edge of the Universe.</strong> Surface states, breaking of inversion symmetry, Rashba effect. </li><li><strong>Basics of superconductivity: all together now!</strong> Electronic structure of a BCS superconductor, macroscopic consequences: specific heat, optical gap. </li><li><strong>Elements of topology and strong spin-orbit coupling. </strong></li><li><strong>Experimental techniques. </strong><br/>a. Reminders of light-matter interaction. <br/>b. X-ray diffraction, elastic and inelastic scattering <br/>c. STM <br/>d. Quantum oscillations <br/>e. ARPES: electronic band structure and many-body correlations visualized. <br/>f. Dynamical conductivity.</li></ol></div> </div> </div> <div class="field__item"><div class="paragraph paragraph--type-bloc-titre-texte paragraph--view-mode-default ds-1col clearfix"> <div class="field--name-field-titre italic-0"> Prerequisites </div> </div> </div> <div class="field__item"><div class="paragraph paragraph--type-bloc-titre-texte paragraph--view-mode-default ds-1col clearfix"> <div class="field--name-field-titre italic-0"> Evaluation </div> <div class="clearfix text-formatted field field--name-field-texte field--type-text-long field--label-hidden field__item"><p><span>3 hour exam = 75% - Practical Work Reports = 25%</span></p></div> </div> </div> </div> </div> <div class="group-footer"> <div class="field field--name-field-partenaires field--type-entity-reference-revisions field--label-hidden field__item"><div class="paragraph paragraph--type-bloc-partenaires paragraph--view-mode-default ds-1col clearfix"> <div class="field field--name-field-partenaires 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