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Accueil du site > Séminaires > LKB > Finite temperature phase transition for one-dimensional disordered bosons

Finite temperature phase transition for one-dimensional disordered bosons

Séminaire de Georgy Shlyapnikov (LPTMS Orsay, IFRAF)

Lundi 28 juin 2010 à 11h30 en salle de Conférence IV au Département de Physique de l’ENS

Résumé :

It is commonly accepted that there are no phase transitions inone-dimensional systems at a finite temperature, because long-range correlations are destroyed by thermal fluctuations. I will demonstrate that the 1D gas of weakly interacting bosons in the presence of disorder can undergo a finite temperature phase transition between two distinct states : fluid and insulator. None of these states has long-range spatial correlations, but this is a true albeit non-conventional phase transition because transport properties are singular at the transition point.

In the fluid phase the mass transport is possible, whereas in the insulator phase it is completely blocked even at finite temperatures. It is thus revealed how the interaction between disordered bosons influences their Anderson localization. This key question, first raised for electrons in solids, is now crucial for the studies of atomic bosons where recent experiments have demonstrated Anderson localization in expanding very dilute quasi-1D clouds.

Post-scriptum :

Département de physique de l’ENS
24 rue Lhomond
75005 Paris

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