Семинар международной лаборатории физики конденсированного состояния

Во вторник 27 декабря в 15:00

состоится научный семинар Международной лаборатории физики конденсированного состояния

В.Е.Кравцов
International Center for Theoretical Physics, Trieste, Italy

Single-particle and many-body localization: new questions and new phases

The analogy between single-particle Anderson localization on hierarchical lattices (like Bethe lattice) and many-body localization in interacting quantum systems of many particles is discussed. The problem of existence of extended non-ergodic phase on the Bethe lattice is considered in detail using the replica symmetry breaking approach as well as using numerical diagonalization Anderson model on random regular graphs and certain random matrix ensembles.

Адрес проведения семинара: ул.Ст.Басманная, 21/4, стр. 5, ауд.Б-312.

"Replica approach with one step replica symmetry breaking
in the problem of Anderson localization on the Bethe lattice"
(четверг, 29 декабря, 11:30)
We formulate general criteria for localized, extended ergodic and extended non-ergodic (multifractal) phases in disordered quantum systems and apply these criteria to the problem of Anderson localization on Bethe lattice, random regular graphs and generalized Rosenzweig-Porter random matrix ensemble. We focus on the replica symmetry breaking approach to the problem and show how this approach provides a natural classification of phases and phase transitions.

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