Level statistics for quantum Hall systems

• Veröffentlicht in: Физика низких температур
• Datum: 2005
• Hauptverfasser: Kagalovsky, V., Horovitz, B., Avishai, Y.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2005
• Schlagworte: Электpонные свойства металлов и сплавов
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/121758
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Level statistics for quantum Hall systems / V. Kagalovsky, B. Horovitz, Y. Avishai // Физика низких температур. — 2005. — Т. 31, № 3-4. — С. 377-381. — Бібліогр.: 12 назв. — англ.

Level statistics for two classes of disordered systems at criticality are analyzed in terms of different
 realizations of the Chalker–Coddington network model. These include: 1) Re-examination
 of the standard U(1) model describing dynamics of electrons on the lowest Landau level in the
 quantum Hall effect, where it is shown that after proper local unfolding the nearest-neighbor spacing
 distribution (NNSD) at the critical energy follows the Wigner surmise for Gaussian unitary ensembles
 (GUE). 2) Quasi-particles in disordered superconductors with broken time reversal and
 spin rotation invariance (in the language of random matrix theory this system is a representative of
 symmetry class D in the classification scheme of Altland and Zirnbauer). Here again the NNSD
 obeys the Wigner surmise for GUE, reflecting therefore only «basic» discrete symmetries of the
 system (time reversal violation) and ignoring particle–hole symmetries and other finer details
 (criticality). In the localized regime level repulsion is suppressed.