Simulating graphene impurities using the worm algorithm

Marcin Szyniszewski

Research output: ThesisMaster's Thesis


The two-dimensional Ising model is studied by performing computer simulations with one of the Monte Carlo algorithms - the worm algorithm. The critical temperature T_C of the phase transition is calculated by the usage of the critical exponents and the results are compared to the analytical result, giving a very high accuracy.We also show that the magnetic ordering of impurities distributed on a graphene sheet is possible, by simulating the properly constructed model using the worm algorithm. The value of T_C is estimated. Furthermore, the dependence of T_C on the interaction constants is explored. We outline how one can proceed in investigating this relation in the future.
Original languageEnglish
Awarding Institution
  • Lancaster University
Place of PublicationLancaster
Publication statusPublished - 9 May 2011


  • Monte Carlo
  • Ising model
  • graphene impurities
  • worm algorithm
  • phase transition


Dive into the research topics of 'Simulating graphene impurities using the worm algorithm'. Together they form a unique fingerprint.

Cite this