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6895 results in Condensed Matter Physics, Nanoscience and Mesoscopic Physics

Page 53 of 345

  • 15 - Many-body effects in graphene

  • Mikhail I. Katsnelson, Radboud Universiteit Nijmegen
  • Book:
    The Physics of Graphene
    Published online:
    24 May 2020
    Print publication:
    19 March 2020, pp 389-400

  • Summary

    In this chapter, we discuss how to build effective many-body models starting from first principles electronic structure calculations and apply this general approach to graphene. We present quantitative results for the Fermi velocity renormalization, which were preliminary announced in Chapter 8. After that, we discuss many-body effects in graphene electron spectrum, static screening, and optical conductivity based on the results of lattice quantum Monte Carlo simulations. At the end, we consider many-body renormalization of minimal conductivity in graphene within the concept of environment-induced suppression of quantum tunneling.

  • 5 - Edges, nanoribbons, and quantum dots

  • Mikhail I. Katsnelson, Radboud Universiteit Nijmegen
  • Book:
    The Physics of Graphene
    Published online:
    24 May 2020
    Print publication:
    19 March 2020, pp 108-140

  • Summary

    Boundary conditions for electron wave functions in graphene are discussed, both in Dirac approximation and for the honeycomb lattice. We start with the model of "neutrino billiard." Then, we discuss typicality of zigzag boundary conditions for the terminated honeycomb lattice, existence of zero-energy edge mode for these conditions, electronic states and conductance quantization in graphene nanoribbons, level statistics for graphene quantum dots, explanation of quantum Hall effects in terms of topologically protected edge modes, and Aharonov–Bohm effect in multiconnected graphene flakes. The latter case is used as an example of the general topological concept of spectral flow.

  • 1 - The electronic structure of ideal graphene

  • Mikhail I. Katsnelson, Radboud Universiteit Nijmegen
  • Book:
    The Physics of Graphene
    Published online:
    24 May 2020
    Print publication:
    19 March 2020, pp 1-23

  • Summary

    After discussion of basic concepts of the covalent chemical bond with applications to carbon, the chapter presents tight-binding description of electronic structure of single-layer and multilayer graphene, with a special emphasis on emergence of massless Dirac fermions in honeycomb lattice, effects of trigonal warping, and symmetry protection of conical points in band structure.

Advanced Quantum Condensed Matter Physics
  • One-Body, Many-Body, and Topological Perspectives
  • Michael El-Batanouny
  • Published online:
    06 March 2020
    Print publication:
    26 March 2020
  • Condensed matter physics has fast become the largest discipline within physics. Based on an established course, this comprehensive textbook covers one-body, many-body and topological perspectives. It is the first textbook that presents a comprehensive coverage of topological aspects of condensed matter as a distinct yet integrated component. It covers topological fundamentals and their connection to physics, introduces Berry phase and Chern numbers, describes general topological features of band structures and delineates its classification. Applications as manifest in the quantum Hall effect, topological insulators and Weyl semimetal are presented. Modern topics of current interest are explored in-depth, helping students prepare for cutting-edge research. These include one-electron band theory, path integrals and coherent states functional integrals as well as Green and Matsubara functions, spontaneous symmetry breaking, superfluidity and superconductivity. Multiple chapters covering quantum magnetism are also included. With end-of-chapter exercises throughout, it is ideal for graduate students studying advanced condensed matter physics.

Page 53 of 345