Master 2 courses in Physics - Materials and Nano-Object Sciences track
Nanomat is a research-type M2 program (M2: Master 2nd year) that offers a complete high-level training on the structural and electronic properties of condensed matter and nanostructures.
The objective is two-fold: (i) to acquire the theoretical bases allowing a thorough understanding of the materials properties, (ii) to be trained in advanced experimental and numerical investigation methods. The program includes numerous tutorials, laboratories and numerical projects in relation with current scientific topics that can answer to societal challenges (renewable energies, ecology, health, heritage, ...). The addressed topics concern optics, electronics, spintronics, superconductivity, correlated systems, physical chemistry of solids and high-density liquids, exploration of planetary interiors, interaction with the environment, etc. They cover a large variety of materials and their applications, such as nanostructured materials, 2D materials, thin films, materials for energy, materials under extreme conditions, glasses, minerals and cultural heritage materials, with a systematic focus on the microscopic phenomena at the origin of their macroscopic properties.
2nd year Master courses (M2) taught in English
Semester 1
2nd year Master - 1st Semester - 3 ECTS - English Level: B2 (no test required)
Brief Description
This course introduces the fundamental basis of condensed matter physics.
The objectives are:
- to master simple models of phonon band structure calculation and to make the link with thermal properties
- to understand and master the main models allowing for the description of the electronic band structure of ordered solids
- to use the band structure in order to predict and calculate the electronic properties of a crystalline system
- to introduce the physics of semi-conductors and of simple fundamental device.
Prerequisites
- Crystallography: Bravais lattice, reciprocal lattice, diffraction.
- Quantum mechanics: perturbation theory.
- Statistical physics: Fermi-Dirac and Bose-Einstein statistics.
- Mathematics: Fourier transforms and distributions.
Contact
Delphine Cabaret (delphine.cabaret@sorbonne-universite.fr)
Max Marangolo (max.marangolo@sorbonne-universite.fr)
2nd year Master - 1st Semester - 3 ECTS - English Level: B2 (no test required)
Brief Description
To address fundamentals of magnetism and semiconductor physics. To give a description of basic magnetic phenomena and of the electronic structure of bulk and nanostructured semiconductors near the band gap. To introduce notions required to follow the optional teaching unit “Nanostructures for optoelectronics and spintronics”.
Prerequisites
- Basic concepts of Quantum Physics and Statistical Mechanics.
- Basic concepts of Solid-State Physics.
Contact
Delphine Cabaret (delphine.cabaret@sorbonne-universite.fr)
Max Marangolo (max.marangolo@sorbonne-universite.fr)
2nd year Master - 1st Semester - 3 ECTS - English Level: B2 (no test required)
Brief Description
Introduction to the electronic properties of solids beyond the independent electron approximation. Applying the basic notions of band theory to the phenomena of charge and thermal transport. Introduction to the second quantization formalism as most suitable framework to study the fundamental scattering processes.
Prerequisites
- Fundamentals of atomic and molecular physics.
- Conventional band theory within the independent electron approximation.
- Quasi-free electron model.
- Tight-binding approximation.
- Classical description of lattice vibrations in solids.
Contact
Delphine Cabaret (delphine.cabaret@sorbonne-universite.fr)
Max Marangolo (max.marangolo@sorbonne-universite.fr)
2nd year Master - 1st Semester - 3 ECTS - English Level: B2 (no test required)
Brief Description
Many scientific and technological discoveries result from important breakthroughs on the development of innovative materials opens to very important questions regarding the control of extrinsic parameters such as the materials microstructure at various scales, which is known to drastically impact the materials properties. This course is devoted to students having already a general background either in physics or in chemistry. Its objective is to provide the essential knowledge in solid state and materials chemistry. This will allow acquiring appropriate skills useful to apprehend many topics of materials sciences and solid-state physics, taking chemistry issues into account as a link between theory and real life. It will also provide tools to imagine possible modulations of properties by playing with chemistry and to go even further in the development of original compounds.
Prerequisites
- Band theory, electron approximation; Hartree-Fock approximation to metals.
- Transport theory.
- Thermal conductivity of metals
- Phonons in solids: Bloch-Somerfield theory of electrical restivity.
Contact
Delphine Cabaret (delphine.cabaret@sorbonne-universite.fr)
Max Marangolo (max.marangolo@sorbonne-universite.fr)
2nd year Master - 1st Semester - 6 ECTS - English Level: B2 (no test required)
Brief Description
The properties of nanostructures or low-dimensional systems are extremely sensitive to surfaces and/or interfaces. The objective is to introduce the theoretical and experimental aspects related to the atomic and electronic structure of surfaces. Surfaces will then be considered as supports for various nanostructured systems. The surface science tools (low energy electron diffraction, grazing X-ray diffraction, tunnel and atomic force microscopy, X-ray and Auger spectroscopy...) will be discussed.
Prerequisites
The student should have taken an introductory course to solid-state physics and ideally an introductory course to crystallography.
Contact
Delphine Cabaret (delphine.cabaret@sorbonne-universite.fr)
Max Marangolo (max.marangolo@sorbonne-universite.fr)
2nd year Master - 1st Semester - 6 ECTS - English Level: B2 (no test required)
Brief Description
This course establishes the bridge between fundamental concepts from physics and chemistry, and the most recent applications in electronics. The focus is placed on the “materials science” aspect of nanoelectronics, optoelectronics and organic electronics. It will lead the students from the quantum structure of solids and from the molecular architectures, to the working principles of elementary devices such as organic field effect transistors (OFET), organic light emitting devices (OLED), quantum dot (QD) based photodetectors, or a plasmonic activated photovoltaic cells. It will help the students understanding the “molecular electronic” revolution at play nowadays and help them find their place, either in academic research lab or in industrial R&D departments.
Prerequisites
- A good background in quantum physics or quantum chemistry is necessary.
- Notions of semiconductor physics are recommended.
Contact
Delphine Cabaret (delphine.cabaret@sorbonne-universite.fr)
Max Marangolo (max.marangolo@sorbonne-universite.fr)
2nd year Master - 1st Semester - 6 ECTS - English Level: B2 (no test required)
Brief Description
This course establishes the bridge between fundamental concepts from physics and chemistry, and the most recent applications in electronics. The focus is placed on the “materials science” aspect of nanoelectronics, optoelectronics and organic electronics. It will lead the students from the quantum structure of solids and from the molecular architectures, to the working principles of elementary devices such as organic field effect transistors (OFET), organic light emitting devices (OLED), quantum dot (QD) based photodetectors, or a plasmonic activated photovoltaic cells. It will help the students understanding the “molecular electronic” revolution at play nowadays and help them find their place, either in academic research lab or in industrial R&D departments.
Prerequisites
We strongly recommend that the students take the course of Condensed Matter Physics 2. Otherwise, they must have a background in semiconductor physics (band structure, perturbative k.p method) and in the general concepts of magnetism (ferro- and para-magnetism, magnetic anisotropy and Curie temperature). Quantum mechanics; Quantum statistical physic.
Contact
Delphine Cabaret (delphine.cabaret@sorbonne-universite.fr)
Max Marangolo (max.marangolo@sorbonne-universite.fr)
2nd year Master - 1st Semester - 6 ECTS - English Level: B2 (no test required)
Brief Description
To gain knowledge of advanced physical properties of materials and their theoretical base beyond the independent electron concept. To investigate a number of challenging condensed phases such as superconductivity, magnetism, charge density waves, vortices, and more. The most important experimental tools, in particular electronic spectroscopies and materials characterization will be discussed.
Prerequisites
- A good working knowledge of solid-state physics (Ashcroft & Mermin or Kittel level).
- Quantum mechanics at the Masters 1 level.
- Motivation to explore the most challenging states of matter and their theoretical concepts.
Contact
Delphine Cabaret (delphine.cabaret@sorbonne-universite.fr)
Max Marangolo (max.marangolo@sorbonne-universite.fr)
2nd year Master - 1st Semester - 6 ECTS - English Level: B2 (no test required)
Brief Description
Illustrate the concepts of physics / chemistry of condensed matter from an original point of view, with a specific regard to the effective applications.
Acquire the basic theoretical and experimental knowledge on the properties of solids and liquids under extreme thermodynamic conditions of high pressures and high temperature.
Prerequisites
- Physics of solid / basics in quantum physics
- Basics in chemistry of solid
- Thermodynamics / basics in statistical physics.
Contact
Delphine Cabaret (delphine.cabaret@sorbonne-universite.fr)
Max Marangolo (max.marangolo@sorbonne-universite.fr)
2nd year Master - 1st Semester - 6 ECTS - English Level: B2 (no test required)
Brief Description
Investigate the specificities of aperiodic or short-range ordered materials in terms of formation mechanisms, synthesis processes and structure-properties relations.
Introduce to the diversity of application fields (industry, cultural heritage, biomineralogy, environment).
Prerequisites
- Physics and Chemistry of solids (CMP1, CMC)
- Materials Investigation Methods (MIM)
Contact
Delphine Cabaret (delphine.cabaret@sorbonne-universite.fr)
Max Marangolo (max.marangolo@sorbonne-universite.fr)
2nd year Master - 1st Semester - 6 ECTS - English Level: B2 (no test required)
Brief Description
This course presents a deep overview of advanced computational methods to study the physical and chemical properties of materials, predict their properties, and design novel ones with better technologically-oriented properties. The goals are the following:
- to acquire a good knowledge and comprehension of the physical and chemical basis of the state-of-the-art simulation methods used in materials science,
- to achieve a 20h-computational project using advanced simulations codes, currently used in computational materials science,
- to be able to present the results within an “article-like” written report and a “conference-like” oral presentation.
Prerequisites
- Geometrical crystallography: lattice points and motif, lattice systems, Bravais lattices, conventional crystal cells, crystallographic point groups and space groups, crystal direction, lattice plane, reciprocal space, Brillouin zone, etc.
- Quantum mechanics, statistical physics and atomic physics.
Contact
Delphine Cabaret (delphine.cabaret@sorbonne-universite.fr)
Max Marangolo (max.marangolo@sorbonne-universite.fr)