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Lecture

Conductance in Ideal 2D Conductor

In course

PHYS-310: Solid state physics II

Ce cours de deux semestres donne une introduction à la Physique du solide, à la structure cristalline, aux vibrations du réseau, aux propriétés électroniques, de transport thermique et électrique ainsi qu'aux propriétés magnétiques. Il se situe au niveau d ...

Description

This lecture covers the conductance of an ideal 2D conductor, focusing on electron gas behavior and the Schrödinger equation. The instructor explains the conductance quantum, ballistic regime, and Von Klitzing constant. The lecture also delves into electron confinement in potential wells, subbands, and the Landauer-Büttiker formula for transmission eigenvalues.

Instructors (3)

Marina Pivetta

Harald Brune

Originaire de Münich en Allemagne, né en 1961, Harald Brune obtient son diplôme en physique de l'Université Ludwig Maximilians en 1989. Après une thèse en chimie physique à l'Institut Fritz-Haber de la Société Max-Planck à Berlin il obtient son titre de docteur ès sciences en 1992. Dès cela, il rejoint le groupe du Prof. K. Kern à l'Institut de physique expérimentale à l'EPFL. En 1995 il est chercheur invité à Copenhague travaillant en modélisation chez le Prof. J. Nørskov. De retour à l'EPFL, il se voit décerné le prix Latsis EPFL 1996 pour ses études par microscopie à effet tunnel de processus atomiques déterminants la croissance cristalline de couches minces. En 1998 il obtient son habilitation (venia legendi) en Physique et est nommé Maître d'enseignement et de recherche (MER) en nanophysique à l'EPFL. La même année il recoit une offre de Professeur Ordinaire (C4) de l'Université Philipps de Marburg. Début 1999 il réfuse cette offre et accepte un poste de Professeur Extraordinaire à l'EPFL et s'installe au sein de l'Institut de la Physique des Nanostructures. Il est nommé Professeur Ordinaire en 2005. Sa recherche porte sur les propriétés physiques (en particulier le magnétisme et la structure électronique) de nouvelles formes de la matière condensée comme des nanostructures et des couches ultra-minces. Il s'intéresse également à la catalyse hétérogène sur des systèmes inspirés dans leur composition et taille par celle des sites actives dans les enzymes en biologie. Il enseigne la Physique Générale pour ingénieurs, la Physique des matériaux solides pour physiciens, les méthodes expérimentales pour physiciens, ainsi que la Physique des surfaces, interfaces et nanostrcutures à l'école doctorale.

Oleg Yazyev

Prof. Oleg Yazyev (Олег Язев) was born in Simferopol, Crimean peninsula. He obtained his degree in chemistry from Moscow State University in 2003. He then joined Ecole Polytechnique Fédérale de Lausanne (EPFL) completing his PhD thesis in chemistry and chemical engineering in 2007. Next two years he has spent as a postdoctoral fellow at the Institute of Theoretical Physics (ITP) and the Institute for Numerical Research in the Physics of Materials (IRRMA) of the same institution. In 2009-2011 he was a postdoctoral fellow at the Department of Physics of the University of California, Berkeley and the Lawrence Berkeley National Laboratory. In September 2011 he started an independent research group supported by the Swiss National Science Foundation professorship grant. In 2012 he was awarded an ERC Starting grant. His current research focuses on theoretical and computational physics of two-dimensional and topological materials with strong emphasis on their prospective technological applications. ResearcherID profile of Oleg Yazyev Google Scholar profile of Oleg Yazyev

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Related concepts (32)

Free electron model

In solid-state physics, the free electron model is a quantum mechanical model for the behaviour of charge carriers in a metallic solid. It was developed in 1927, principally by Arnold Sommerfeld, who combined the classical Drude model with quantum mechanical Fermi–Dirac statistics and hence it is also known as the Drude–Sommerfeld model.

Fermi gas

A Fermi gas is an idealized model, an ensemble of many non-interacting fermions. Fermions are particles that obey Fermi–Dirac statistics, like electrons, protons, and neutrons, and, in general, particles with half-integer spin. These statistics determine the energy distribution of fermions in a Fermi gas in thermal equilibrium, and is characterized by their number density, temperature, and the set of available energy states. The model is named after the Italian physicist Enrico Fermi.

Two-dimensional electron gas

A two-dimensional electron gas (2DEG) is a scientific model in solid-state physics. It is an electron gas that is free to move in two dimensions, but tightly confined in the third. This tight confinement leads to quantized energy levels for motion in the third direction, which can then be ignored for most problems. Thus the electrons appear to be a 2D sheet embedded in a 3D world. The analogous construct of holes is called a two-dimensional hole gas (2DHG), and such systems have many useful and interesting properties.

Electron

The electron (_Electron or _beta-) is a subatomic particle with a negative one elementary electric charge. Electrons belong to the first generation of the lepton particle family, and are generally thought to be elementary particles because they have no known components or substructure. The electron's mass is approximately 1/1836 that of the proton. Quantum mechanical properties of the electron include an intrinsic angular momentum (spin) of a half-integer value, expressed in units of the reduced Planck constant, ħ.

Semiconductor

A semiconductor is a material which has an electrical conductivity value falling between that of a conductor, such as copper, and an insulator, such as glass. Its resistivity falls as its temperature rises; metals behave in the opposite way. Its conducting properties may be altered in useful ways by introducing impurities ("doping") into the crystal structure. When two differently doped regions exist in the same crystal, a semiconductor junction is created.

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