Constructive fractional-moment criteria for localization in random operators
Identifieur interne : 000513 ( Main/Exploration ); précédent : 000512; suivant : 000514Constructive fractional-moment criteria for localization in random operators
Auteurs : Michael Aizenman [États-Unis] ; Jeffrey H. Schenker [États-Unis] ; Roland M. Friedrich [Suisse] ; Dirk Hundertmark [États-Unis]Source :
- Physica A: Statistical Mechanics and its Applications [ 0378-4371 ] ; 2000.
Abstract
We present a family of finite-volume criteria which cover the regime of exponential decay for the fractional moments of Green functions of operators with random potentials. Such decay is a technically convenient characterization of localization for it is known to imply spectral localization, absence of level repulsion, dynamical localization and a related condition which plays a significant role in the quantization of the Hall conductance in two-dimensional Fermi gases. The constructive criteria also preclude fast power-law decay of the Green functions at mobility edges.
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DOI: 10.1016/S0378-4371(00)00012-1
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Friedrich</name><affiliation wicri:level="1"><country xml:lang="fr">Suisse</country><wicri:regionArea>Student, Theoretische Physik, ETH-Zürich, CH–8093</wicri:regionArea><wicri:noRegion>CH–8093</wicri:noRegion></affiliation></author><author><name sortKey="Hundertmark, Dirk" sort="Hundertmark, Dirk" uniqKey="Hundertmark D" first="Dirk" last="Hundertmark">Dirk Hundertmark</name><affiliation wicri:level="1"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mathematics 253-37, Caltech, Pasadena, CA 91125</wicri:regionArea><wicri:noRegion>CA 91125</wicri:noRegion></affiliation></author></analytic><monogr></monogr><series><title level="j">Physica A: Statistical Mechanics and its Applications</title><title level="j" type="abbrev">PHYSA</title><idno type="ISSN">0378-4371</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="2000">2000</date><biblScope unit="volume">279</biblScope><biblScope unit="issue">1–4</biblScope><biblScope unit="page" from="369">369</biblScope><biblScope unit="page" to="377">377</biblScope></imprint><idno type="ISSN">0378-4371</idno></series><idno type="istex">50AE8E608E766F0E26193C8E586D655FAFE190D8</idno><idno type="DOI">10.1016/S0378-4371(00)00012-1</idno><idno type="PII">S0378-4371(00)00012-1</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0378-4371</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">We present a family of finite-volume criteria which cover the regime of exponential decay for the fractional moments of Green functions of operators with random potentials. Such decay is a technically convenient characterization of localization for it is known to imply spectral localization, absence of level repulsion, dynamical localization and a related condition which plays a significant role in the quantization of the Hall conductance in two-dimensional Fermi gases. The constructive criteria also preclude fast power-law decay of the Green functions at mobility edges.</div></front></TEI><affiliations><list><country><li>Suisse</li><li>États-Unis</li></country><region><li>New Jersey</li></region><settlement><li>Princeton (New Jersey)</li></settlement><orgName><li>Université de Princeton</li></orgName></list><tree><country name="États-Unis"><noRegion><name sortKey="Aizenman, Michael" sort="Aizenman, Michael" uniqKey="Aizenman M" first="Michael" last="Aizenman">Michael Aizenman</name></noRegion><name sortKey="Aizenman, Michael" sort="Aizenman, Michael" uniqKey="Aizenman M" first="Michael" last="Aizenman">Michael Aizenman</name><name sortKey="Hundertmark, Dirk" sort="Hundertmark, Dirk" uniqKey="Hundertmark D" first="Dirk" last="Hundertmark">Dirk Hundertmark</name><name sortKey="Schenker, Jeffrey H" sort="Schenker, Jeffrey H" uniqKey="Schenker J" first="Jeffrey H" last="Schenker">Jeffrey H. Schenker</name></country><country name="Suisse"><noRegion><name sortKey="Friedrich, Roland M" sort="Friedrich, Roland M" uniqKey="Friedrich R" first="Roland M" last="Friedrich">Roland M. Friedrich</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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