Quantum scar and breakdown of universality in graphene: A theoretical insight

Kombiah Iyakutti, Ratnavelu Rajeswarapalanichamy, Velappa Jayaraman Surya, Yoshiyuki Kawazoe

Research output: Contribution to journalArticlepeer-review


Graphene has brought forward a lot of new physics. One of them is the emergence of massless Dirac fermions in addition to the electrons and these features are new to physics. In this theoretical study, the signatures for quantum scar and the breakdown of universality in graphene are investigated with reference to the presence of these two types of fermions. Taking the graphene quantum dot (QD) potential as the confining potential, the radial part of Dirac equations are solved numerically. Concentrations of the two component eigen-wavefunctions about classical periodic orbits emerge as the signatures for the quantum scar. The sudden variations, in the ratio of the radial wave-functions (large and small components), R(g/f), with mass ratio are the signatures for breakdown of universality in graphene. The breakdown of universality occurs for the states k = -1 and k = 1, and the state k = -1 is more susceptible to the breakdown of universality.

Original languageEnglish
Article number1750257
JournalInternational Journal of Modern Physics B
Issue number32
Publication statusPublished - 2017 Dec 30


  • Dirac fermions
  • Graphene
  • Zitterbewegung
  • breakdown
  • quantum scar
  • universality

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics


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