Mathematics and Physics of Anderson Localization: 50 Years After

Mathematics and Physics of Anderson Localization: 50 Years After's image
Created: 2008-08-21 14:17
Institution: Isaac Newton Institute for Mathematical Sciences
Description: In his seminal paper Absence of diffusion in certain random lattices (1958) Philip W. Anderson discovered one of the most striking quantum interference phenomena: particle localization due to disorder. Cited in 1977 for the Nobel prize in physics, that paper was fundamental for many subsequent developments in condensed matter theory. In particular, in the last 25 years the phenomenon of localization proved to be crucial for the understanding of the Quantum Hall effect, mesoscopic fluctuations in small conductors as well as some aspects of quantum chaotic behaviour.

Random Schrödinger operators are an area of very active research in mathematical physics and mathematics. Here the main effort is to clarify the nature of the underlying spectrum. In particular, it has been proved that in dimension one all states are localized, and in any dimension the random Schrödinger operator has dense point spectrum for large enough disorder. Some open mathematical problems of major importance include the long-time evolutions of a quantum particle in a weakly disordered medium and existence of absolutely continuous spectrum in three dimensions. The expected transition from localized (point spectrum) to extended eigenstates (absolutely continuous spectrum) will also be addressed.

Read more at: http://www.newton.ac.uk/programmes/MPA/
 

Media items

This collection contains 130 media items.

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A supersymmetric model for quantum diffusion in 3d

   309 views

Disertori, M (Rouen)
Thursday 21 August 2008, 10:00-11:00
Anderson Localization and Related Phenomena

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Sat 20 Sep 2008


A variant of an estimate by Minami

   325 views

Graf, GM (ETH Zurich)
Wednesday 20 August 2008, 10:00-11:00
Anderson Localization and Related Phenomena

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Sat 20 Sep 2008


Absolutely continuous spectrum for the Anderson model on more general trees

   503 views

Halasan, F (British Columbia)
Tuesday 22 July 2008, 16:45-17:30
Anderson Localization Transition: Introductory Training Course

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Mon 4 Aug 2008


Anderson localisation and sub-diffusion for the nonlinear Schrodinger equtation: results and puzzles

   401 views

Krivolapov, Y (Technion)
Monday 21 July 2008, 16:00-16:45
Anderson Localization Transition: Introductory Training Course

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Thu 31 Jul 2008


Anderson localisation for the nonlinear Schroedinger Equation (NLSE): results and puzzles

   291 views

Fishman, S (Technion)
Friday 22 August 2008, 10:00-11:00
Anderson Localization and Related Phenomena

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Sun 21 Sep 2008


Anderson localisation: phenomenology and mathematics (1)

   715 views

Spencer, T (IAS, Princeton)
Friday 18 July 2008, 09:00-10:30
Anderson Localization Transition: Introductory Training Course

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Wed 23 Jul 2008


Anderson localisation: phenomenology and mathematics (2)

   372 views

Spencer, T (IAS, Princeton)
Tuesday 22 July 2008, 11:00-12:30
Anderson Localization Transition: Introductory Training Course

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Wed 6 Aug 2008


Anderson localisation: phenomenology and mathematics (3)

   330 views

Spencer, T (IAS, Princeton)
Thursday 24 July 2008, 14:00-15:30
Anderson Localization Transition: Introductory Training Course

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Wed 20 Aug 2008


Anderson localisation: phenomenology and mathematics (4)

   362 views

Spencer, T (IAS, Princeton)
Friday 25 July 2008, 09:00-10:30
Anderson Localization Transition: Introductory Training Course

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Thu 21 Aug 2008


Anderson localization and electron-electron interaction

   466 views

Gornyi, I (Forschungszentrum Karlsruhe)
Monday 18 August 2008, 14:00-15:00
Anderson Localization and Related Phenomena

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Fri 19 Sep 2008


Anderson localization in 2D systems : from Schrodinger to Dirac stochastic equations

   444 views

Efetov, K (Ruhr-Universit\"at Bochum)
Thursday 21 August 2008, 09:00-10:00
Anderson Localization and Related Phenomena

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Sat 20 Sep 2008


Anderson localization, topology, and interaction

   84 views

Ostrovsky, P (Max Planck Institut für Festkörperforschung)
Thursday 20 September 2012, 11:50-12:30

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Mon 24 Sep 2012


Anderson localization: from theoretical aspects to applications in QCD and cold atoms

   332 views

Garcia-Garcia, A (Princeton)
Friday 22 August 2008, 11:30-12:30
Anderson Localization and Related Phenomena

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Sun 21 Sep 2008


Anomalously localized states in the one-dimensional Anderson localization model at E=0

   99 views

Kravtsov, V (Abdus Salam International Centre for Theoretical Physics)
Wednesday 19 September 2012, 10:10-10:50

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Mon 24 Sep 2012


Cell model for scaling near the mobility edge

   8,372 views

Wegner, F (Heidelberg)
Monday 18 August 2008, 16:30-17:30
Anderson Localization and Related Phenomena

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Fri 19 Sep 2008


Classification and symmetry properties of scaling dimensions at Anderson transitions

   80 views

Mirlin, A (Universität Karlsruhe (TH))
Tuesday 18 September 2012, 11:10-11:50

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Fri 21 Sep 2012


Collective electronic transport close to the metal-insulator or superconductor insulator transitions.

   255 views

Mueller, M (Université de Genève)
Wednesday 17 December 2008, 10:00-11:00
Classical and Quantum Transport in the Presence of Disorder

Collection: Mathematics and Physics of Anderson Localization: 50 Years After

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Wed 21 Jan 2009


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