Universality of Conductivity in Interacting Graphene
Abstract
The Hubbard model on the honeycomb lattice describes charge carriers in graphene with short range interactions. While the interaction modifies several physical quantities, like the value of the Fermi velocity or the wave function renormalization, the a.c. conductivity has a universal value independent of the microscopic details of the model: there are no interaction corrections, provided that the interaction is weak enough and that the system is at half filling. We give a rigorous proof of this fact, based on exact Ward Identities and on constructive Renormalization Group methods.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- April 2012
- DOI:
- arXiv:
- arXiv:1101.2169
- Bibcode:
- 2012CMaPh.311..317G
- Keywords:
-
- Hubbard Model;
- Ward Identity;
- Quantum Hall Effect;
- Fermi Velocity;
- Honeycomb Lattice;
- Condensed Matter - Strongly Correlated Electrons;
- Mathematical Physics
- E-Print:
- Communications in Mathematical Physics, April 2012, 311, 2, 317-355