Level statistics for quantum Hall systems
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 Hal...
Збережено в:
Дата: | 2005 |
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Автори: | , , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2005
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Назва видання: | Физика низких температур |
Теми: | |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/121758 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of UkraineРезюме: | 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. |
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