| Zugriffsnummer | 25830 |
| Dokumenttyp | Zeitschriftenartikel |
| Peer Review | unbekannt |
| Sprache | Englisch |
| Titel | Logarithmic scaling of Lyapunov exponents in disordered chiral two-dimensional lattices |
| Autor(in); Institution |
Markos, Peter; FEI STU, Department of Physics, Bratislava, SLOVAKIA
Schweitzer, Ludwig; PSt, Präsidialer Stab, PTB-Braunschweig
|
| Quelle/Jahr | Physical Review B: 81 (2010), 20, 205432-1 - 205432-5 |
| ISSN | 1098-0121 |
| DOI | |
| URL | |
| Verlag | Ridge, NY: American Physical Society |
| Klassifikationscode | PACS: 61.43.Bn ; PACS: 05.30.Rt ; PACS: 71.32.An ; PACS: 71.55.Jv |
| Zusammenfassung | We analyze the scaling behavior of the two smallest Lyapunov exponents for electrons propagating on two-dimensional lattices with energies within a very narrow interval around the chiral critical point at E=0 in the presence of a perpendicular random magnetic flux. By a numerical analysis of the energy and size dependence we confirm that the two smallest Lyapunov exponents are functions of a single parameter. The latter is given by ln L / ln ξ(E), which is the ratio of the logarithm of the system width L to the logarithm of the correlation length ξ(E). Close to the chiral critical point and energy E ≪E0, we find a logarithmically divergent energy dependence ln ξ(E) ∝ ln(E0/ E ) 1/2, where E0 is a characteristic energy scale. Our data are in agreement with the theoretical prediction of M. Fabrizio and C. Castelliani [Nucl. Phys. B 583, 542 (2000)] and resolve an inconsistency of previous numerical work. |
