Lecture Series on Graphene Physics

Sponsors and Collaborators:

Department of Physics, School of Science and Engineering, Lahore University of Management Sciences (LUMS)

Registration: Registration is required.
Date: May 20, 2011 May 21, 2011 May 22, 2011
Time: 03:00 pm , 10:00 am , 10:00 am
Venue: Lecture Hall 10-301, 3rd floor, LUMS School of Science and Engineering, Opposite Sector U, D.H.A. Lahore


Graphene is an emerging material, like a rising star on the horizon of physics. Acclaiming the Nobel Prize in physics in 2010, the two dimensional crystal continues to surprise us with new physics as well as new applications that are destined to reach the commercial sphere.

In this lecture series, we have invited Pakistan’s two most distinguished scientists to discuss the fundamental physics. The understanding of graphene has opened up new doors of inquiry. What immediately catches our attention is the emergence of new physics: relativistic quantum effects, which previously, are only the ambit of high energy physicists. With graphene, for example, it is now possible to mimick these high energy effects on the tabletop. This lecture series aims at:

  • describing relativistic quantum mechanics,
  • understanding how the charge carriers in graphene are massless Dirac fermions,
  • understanding the electronic structure of this two dimensional material,
  • unravelling some of its exciting transport and structural properties, and
  • appreciating the role of disorder in graphene.


Registration is free of cost but required. To register visit this link.
The schedule of the lecture series is as follows.

Friday, 20 May 2011 3-4 pm KS 1 What is graphene?
4-5 pm RD 1 Introduction, Free particle, Dirac Equation (Derivation), Dirac Algebra, Dirac Equation in the presence of electromagnetic field.
5-5:30 pm Refreshments
5:30-6:30 pm KS 2 Electronic structure of graphene (part 1)
Saturday, 21 May 2011 10-11 am RD 2 Dirac Chiral representation and Dirac Equation in 2- components form; prediction of magnetic moment of electron and spin. Dirac equation for Hydrogen like atoms (exact solution) and spin – orbit splitting of energy levels.
11 am – 12 noon KS 3 Electronic structure of graphene (part 2)
12 – 2 pm Lunch and prayer break
2-3 pm RD 3 Lorentz invariance of Dirac equation, Dirac bilinears (their transformation properties under Laurentz Transformation and parity); Particle current. Hole theory and existence of positron.
Sunday, 22 May 2011 10-11 am RD 4 Dirac equation in (1 + 2) dimensions and its relevance to GrapheneInequivalent representations of Dirac Gamma-matrices (a feature of odd number of space – time dimensions). Role of parity in (1 + 2) dimensions and how it can be used for defining conserved chiral currents.
11 am – 12 noon KS 4 Electronic structure of graphene (part 3)
12-1 pm Lunch and prayer break
1-2 pm RD 5 Dirac equation for quasi-particles in graphene in an external electromagnetic field. Chiral symmetries and Chiral anomaly. Coulomb like problem in Graphene.

Resource Persons:
Prof. Riazuddin
National Centre for Physics, Islamabad

Dr. Aslam Baiq
Department of Physics, Quaid-e-Azam University, Islamabad

Supplementary Documents: "The Rise of Graphene" - Progress Article in Nature Materials (Vol 6, p. 183), 2007 "Quantum Mechanics, Spin, Lorentz Group" Prepatory notes for Prof. Riazuddin's lectures A Note on Graphene-Urdu A Note on Graphene-English
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