Jump to ContentJump to Main Navigation
GrapheneA New Paradigm in Condensed Matter and Device Physics$
Users without a subscription are not able to see the full content.

E. L. Wolf

Print publication date: 2013

Print ISBN-13: 9780199645862

Published to Oxford Scholarship Online: January 2014

DOI: 10.1093/acprof:oso/9780199645862.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use.date: 27 January 2022

Electron bands of graphene

Electron bands of graphene

(p.86) 4 Electron bands of graphene

E. L. Wolf

Oxford University Press

The Schrödinger tight-binding band theory of solids is applied to graphene. The symmetry of the honeycomb lattice leads to cancellation of terms in the conventional approach, such that the Hamiltonian simplifies to two offset versions of the Dirac Hamiltonian. (It is established that a chemical bond approach, as advocated by L. Pauling, is inadequate for graphene.) The spinor wavefunction casts carrier backscattering as a forbidden “spin flip” transition, consistent with observations of exceedingly high carrier mobility. These circumstances make ordinary electrons behave as chiral particles, analogs of neutrinos. Bilayer graphene is treated at the same level, recovering a semimetal with parabolic bands corresponding to conventional effective mass carriers. A voltage across the bilayer opens a small bandgap between two parabolic energy bands. This is of interest for field-effect switching FET transistors that conventionally need an energy gap for a suitably large increase of resistance in the ‘off’ state.

Keywords:   Schrödinger, tight-binding, Hamiltonian, Dirac, spinor wavefunction, bilayer, energy gap

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .