Quantum Phases of Curved Graphene

Summary

Graphene is in the focus of research in condensed matter physics, mainly due to the pseudorelativistic nature of its low-energy quasiparticle excitations, which may be represented as massless Dirac fermions. Besides the Dirac nature of its quasiparticles, the two main intrinsic ingredients of the system are the long-range Coulomb interaction and the geometrical disorder, such as ripples of the graphene sheet and lattice defects. Despite a vast amount of work that has been done since its synthesis, the complete understanding of the role of the intrinsic geometrically induced disorder is still lacking.

The main aim of this project is the description of possible quantum phases of the graphene system with geometrical disorder, represented by effective gravitational-like gauge fields that minimally couple to the Dirac fermions. Besides the interest in the context of the graphene physics, this problem is relevant for the general understanding of low-dimensional fermionic many-body physics when fermions are coupled to gravitational gauge fields. The approach that will be pursued in this project is based on the field-theoretical description of the low-energy physics of the system. Formalism of the theory of critical phenomena, in particular, the renormalization group, will be employed to study different quantum phases of the system with a special emphasis given to the symmetries. Behaviour of the various thermodynamic observables, such as the conductivity and the specific heat, will also be considered in the vicinity of the phase transitions. The effects of the Coulomb interaction will be studied in such a setting, as well as the role of different short-range interactions. Interesting issues that will also be addressed in this project include the role of the electron spin in presence of the curvature, and in particular phases with ordered spin.

Output

Scientific article

  • V. Juricic, I. F. Herbut, O. Vafek(2010): Conductivity of interacting massless Dirac particles in graphene: Collisionless regime Physical Review B pp. 235402
  • V. Juricic, A. Mesaros, R.-J. Slager, J. Zaanen(2012): Universal Probes of Two-Dimensional Topological Insulators: Dislocation and Pi Flux Physical Review Letters pp. 106403-1-106403-4
  • V. S. Alves, W. S. Elias, L. O. Nascimento, V. Juricic, F. Pena(2013): Chiral symmetry breaking in the pseudo-quantum electrodynamics Physical Review D pp. 125002 - 125002
  • B. Roy, V. Juricic, I. F. Herbut(2013): Quantum superconducting criticality in graphene and topological insulators Physical Review B pp. 041401(R)) - 041401(R)
  • A. Mesaros, R.-J. Slager, J. Zaanen, V. Juricic(2013): Zero-energy states bound to a magnetic pi-flux vortex in a two-dimensional topological insulator Nuclear Physics B pp. 977 - 991
  • R.-J. Slager, A. Mesaros, V. Juricic, J. Zaanen(2013): The space group classification of topological band-insulators Nature Physics pp. 98 - 102
  • R.-J. Slager, A. Mesaros, V. Juricic, J. Zaanen(2014): Interplay between electronic topology and crystal symmetry: Dislocation-line modes in topological band insulators Physical Review B pp. 241403 - 241403
  • B. Roy, V. Juricic(2014): Strain-induced time-reversal odd superconductivity in graphene Physical Review B pp. 041413 - 041413

Details

Project number

680-47-407

Main applicant

Dr. V.J. Juricic

Affiliated with

Universiteit Utrecht, Instituut voor Theoretische Fysica

Team members

Dr. V.J. Juricic

Duration

01/03/2010 to 24/04/2014