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...
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| Veröffentlicht in: | Физика низких температур |
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| Datum: | 2005 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2005
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862544180869332992 |
|---|---|
| author | Kagalovsky, V. Horovitz, B. Avishai, Y. |
| author_facet | Kagalovsky, V. Horovitz, B. Avishai, Y. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | 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.
|
| first_indexed | 2025-11-25T01:21:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-121758 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-11-25T01:21:06Z |
| publishDate | 2005 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Kagalovsky, V. Horovitz, B. Avishai, Y. 2017-06-16T06:37:35Z 2017-06-16T06:37:35Z 2005 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. 0132-6414 PACS: 73.20.Fz, 72.15.Rn https://nasplib.isofts.kiev.ua/handle/123456789/121758 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. The work was supported in part by Sacta-Rashi
 foundation (VK). VK appreciates stimulating discussions
 with Hans Weidenmüller, Thomas Seligman,
 Yoram Althassid, Richard Berkovits, and Alexander
 Mirlin. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Электpонные свойства металлов и сплавов Level statistics for quantum Hall systems Article published earlier |
| spellingShingle | Level statistics for quantum Hall systems Kagalovsky, V. Horovitz, B. Avishai, Y. Электpонные свойства металлов и сплавов |
| title | Level statistics for quantum Hall systems |
| title_full | Level statistics for quantum Hall systems |
| title_fullStr | Level statistics for quantum Hall systems |
| title_full_unstemmed | Level statistics for quantum Hall systems |
| title_short | Level statistics for quantum Hall systems |
| title_sort | level statistics for quantum hall systems |
| topic | Электpонные свойства металлов и сплавов |
| topic_facet | Электpонные свойства металлов и сплавов |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/121758 |
| work_keys_str_mv | AT kagalovskyv levelstatisticsforquantumhallsystems AT horovitzb levelstatisticsforquantumhallsystems AT avishaiy levelstatisticsforquantumhallsystems |