WEAKLY CONFINED RMT

Spontaneous Symmetry Breaking in Random Matrices: a model for the Anderson Transition from String Theory

Coordinatore	SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI    more  Organization address address: VIA BONOMEA 265 city: TRIESTE postcode: 34136 contact info Titolo: Mr. Nome: Gabriele Cognome: Rizzetto Email: send email Telefono: +39 040 3787 201 Fax: +39 040 3787 528
Nazionalità Coordinatore	Italy [IT]
Totale costo	300˙240 €
EC contributo	300˙240 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2010-IOF
Funding Scheme	MC-IOF
Anno di inizio	2011
Periodo (anno-mese-giorno)	2011-09-05   -   2014-09-04

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI  Organization address address: VIA BONOMEA 265 city: TRIESTE postcode: 34136 contact info Titolo: Mr. Nome: Gabriele Cognome: Rizzetto Email: send email Telefono: +39 040 3787 201 Fax: +39 040 3787 528	IT (TRIESTE)	coordinator	300˙240.90

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 Obiettivo del progetto (Objective)

'One of the new developments in theoretical physics of the past few years has been the application of concepts of string theory to condensed matter systems, the AdS/CFT duality being a prime example of it.

Matrix models provide a similar opportunity. In fact, they are ubiquitous in virtually every branch of theoretical physics: from nuclear to condense matter physics, from 2-D quantum gravity to number theory, from statistical physics to string theory, and so on. Even if the physical interpretation of the matrices in the various fields can be quite different, they all share the same mathematical formulation, which makes the possibility of cross-fertilization between the different areas very fruitful.

The aim of this project is the study of a class of non-standard matrix models within the context of condensed matter physics, by taking advantage of existing results from string theory. These models, known as weakly confined, are characterized by potentials that asymptotically grow like a log-square and thus do not belong to the (polynomial) Wigner-Dyson universality class, but are still exactly solvable through their orthogonal polynomials.

One of the main reasons of interest is that they present a spontaneous breaking of rotational invariance and could therefore be an excellent candidate for studying analytically the Anderson transition between a conducting and an insulating phase, a long standing problem with several experimental applications.

Interestingly, models with this asymptotic behavior have been recently considered in the field of topological strings and ABJM theory, but these results have not been translated yet to the condensed matter community and can provide new tools to understand the SSB mechanism.

The M.I.T. environment is a perfect and unique place to pursue this kind of research, due to the presence of leading experts in the different areas of physics involved, several of them already involved in similar lines of research.'