Download or read book Studies on Electron Dynamics in Deformed Graphene written by Dawei Zhai and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphene, a monolayer of carbon atoms arranged in a honeycomb lattice structure, has been the focus of intense research efforts in the past decade due to its unusual electronic, mechanical, thermal, and optical properties, which might lead the next generation of electronic devices. The possibility of countless potential applications is not the only aspect that makes graphene attractive. The low energy electron dynamics in graphene is governed by the massless Dirac equation with an energy dispersion composed of two inequivalent conical structures, known as K and K’ valleys. The corresponding spinor wave function, usually called pseudo-spin, has two components that label the occupation of the two inequivalent triangular sublattices that constitute the honeycomb lattice. This relativistic nature makes graphene an accessible platform to explore many of the quantum electrodynamics phenomena, among which the anomalous integer quantum Hall effect is one of the most prominent examples. In this dissertation, we investigate some of the quantum Hall effect related physics without external magnetic fields.