Hofstadter butterfly for a finite correlated system
Abstract
We investigate a finite two-dimensional system in the presence of an external magnetic field. We discuss how the energy spectrum depends on the system size, boundary conditions, and Coulomb repulsion. On one hand, using these results, we present the field dependence of the transport properties of a nanosystem. In particular, we demonstrate that these properties depend on whether the system consists of an even or an odd number of sites. On the other hand, on the basis of exact results obtained for a finite system, we investigate whether the Hofstadter butterfly is robust against strong electronic correlations. We show that for sufficiently strong Coulomb repulsion, the Hubbard gap decreases when the magnetic field increases.
- Publication:
-
Physical Review B
- Pub Date:
- September 2006
- DOI:
- 10.1103/PhysRevB.74.125116
- arXiv:
- arXiv:cond-mat/0703565
- Bibcode:
- 2006PhRvB..74l5116C
- Keywords:
-
- 71.70.Di;
- 73.22.-f;
- 73.63.-b;
- Landau levels;
- Electronic structure of nanoscale materials: clusters nanoparticles nanotubes and nanocrystals;
- Electronic transport in nanoscale materials and structures;
- Condensed Matter - Strongly Correlated Electrons;
- Condensed Matter - Mesoscopic Systems and Quantum Hall Effect
- E-Print:
- 7 pages, 5 figures, revtex