Relativistic Quantum Scars
Abstract
The concentrations of wave functions about classical periodic orbits, or quantum scars, are a fundamental phenomenon in physics. An open question is whether scarring can occur in relativistic quantum systems. To address this question, we investigate confinements made of graphene whose classical dynamics are chaotic and find unequivocal evidence of relativistic quantum scars. The scarred states can lead to strong conductance fluctuations in the corresponding open quantum dots via the mechanism of resonant transmission.
- Publication:
-
Physical Review Letters
- Pub Date:
- July 2009
- DOI:
- 10.1103/PhysRevLett.103.054101
- Bibcode:
- 2009PhRvL.103e4101H
- Keywords:
-
- 05.45.Mt;
- 03.65.Pm;
- 73.63.-b;
- Quantum chaos;
- semiclassical methods;
- Relativistic wave equations;
- Electronic transport in nanoscale materials and structures