# An Effective Mass Theorem For The Bidimensional Electron Gas In A Strong Magnetic Field

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### Anomalous transport phenomena in Weyl metal beyond the Drude

Jul 11, 2014 gas state adiabatically even if the weight of the energy state and the effective band mass near the Fermi surface become quite renormalized [2]. Recently this common belief has been challenged by the discovery of a novel metallic state, referred to as Weyl metal [3 5]. Even if the concept of electron quasiparticles remains valid, Landauʼs

### for isovector observables: from nuclear excitations to

is the mass. N-stars: despite the complex Strong magnetic field: It is analogous to the uniform electron gas for condensed matter physcists.

### Topological Insulators in 2D and 3D

- Time reversal symmetry and Kramers‟ theorem II. 2D quantum spin Hall insulator - Z 2 topological invariant - Edge states - HgCdTe quantum wells, expts III. Topological Insulators in 3D - Weak vs strong - Topological invariants from band structure IV. The surface of a topological insulator - Dirac Fermions - Absence of backscattering and

### www.researchgate.net

arXiv:0902.1005v2 [math.AP] 27 Apr 2009 AN EFFECTIVE MASS THEOREM F OR THE BIDIMENSIONAL ELECTR ON GAS IN A STR ONG MA GNETIC FIELD F ANNY DELEBECQUE-FENDT AND FLORIAN MÉHA TS Ab

### Effective mass theorem for a bidimensional electron gas under

E ective mass theorem for a bidimensional electron gas under a strong magnetic eld transport of 3D quantum gas con ned in one direction (z 2R) and subject to

### Status of A Positron-Electron Experiment (APEX) towards the

Plugging electric fields are required along magnetic field lines Linear configurations: Positively and negatively charged particles are not simultaneously trapped in a finite region as a plasma Applicable to the confinement of plasmas at any non-neutrality Stable trap of electron plasma has been realized in CNT* and RT-1**

### Topological Field Theory of Time Reversal Invariant Insulators

Δθ=2π. For TI with θ=π, the surface QH can never disappear, no matter how strong the disorder! σ xy=1/2 e2/h => σ xy=-1/2 e2/h. States related by interger plateau transition defines an equivalence class. There are only two classes! No-go theorem: it is not possible to construct a 2D model with an odd number of

### Physics of Graphene

= m*= Effective mass * * 2. m 2m = Effective mass Electron Hole Transport: S d d t i d b bilit Material effective mass mass Speed determined by mobility V G I meE E*υτυμ=⋅⇒= G GGG Group IV Si (4.2K) 1.08 m e 0.56 m e Ge 0.55 m e 0.37 m e mobility eτ μ== III-V GaAs 0.067 m e 0.45 m e * mobility m InSb 0.013 m e 0.6 m e II-VI 1 ()ZnO

### Table 1 : Prerequisite Courses PhD

Quantum field theory I , II Quantization of scalar fields, electromagnetic, Divac and vector with non-zero mass, vacuum expected values and propagators, quantum field interactions, matrix S and effective collision cross section, interactional Divac formalism, Feynman diagrams and

### 1. Introduction - univ-toulouse

an effective mass theorem for the bidimensional electron gas in a strong magnetic field fannydelebecque-fendtandflorianmÉhats abstract. westudythelimitingbehav

### Evaluation Scheme - Integral University

structure of metals, semiconductors and insulators. Electron wave equation in a periodic potential (Bloch theorem), Kronig Penney model. Motion of electron in a one dimensional periodic potential, crystal momentum and effective mass. Brillouin zones and Fermi surface. Cyclotron Resonance and De hass Van Alphen Effect. Unit4