# Mathematics and Physics of Anderson Localization: 50 Years After

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.

### Media items

#### A supersymmetric model for quantum diffusion in 3d

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 two cities theorem for the parabolic Anderson model

Sidorova, N (UCL)

Thursday 24 July 2008, 16:00-16:45

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

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 20 Aug 2008

#### A variant of an estimate by Minami

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

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

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

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 in the presence of interactions in BEC

Leboeuf, P (Orsay)

Thursday 09 October 2008, 14:00-15:00

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

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 31 Oct 2008

#### Anderson localisation: phenomenology and mathematics (1)

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)

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)

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)

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

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

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

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

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

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

#### Cavity approach to the spectral density of sparse symmetric random matrices

Rogers, T (King's College, London)

Friday 18 July 2008, 16:45-17:30

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

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 28 Jul 2008

#### Cell model for scaling near the mobility edge

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

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.

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