Институт теоретической физики им Л.Д. Ландау

Сектор квантовой мезоскопики

Наши адреса:
142432, г. Черноголовка Моск. обл.
просп. акад. Семенова, д. 1а
119334, Москва
ул. Косыгина, д.2
Телефон: (495) 702-93-17
Факс: (495) 702-93-17
Телефон: (495) 137-32-44
Факс: (495) 938-20-77
e-mail: qmeso@itp.ac.ru
Направления исследований
  • Мезоскопические электронные системы
  • Cверхпроводящие гибридные структуры
  • Квантовые фазовые переходы
  • Спинтроника
  • Двумерный электронный газ. Квантовый эффект Холла
  • Квантовый магнетизм и системы с "топологическим порядком"
  • Физика квантовых вычислений
Недавние семинары
Семинар сектора квантовой мезоскопики, пятница 29 мая 2020 г., webinar, 15:00

Владимир Кравцов

Fragile ergodic phases in logarithmically-normal Rosenzweig-Porter model

Webinar link: http://bbb2.itp.ac.ru/b/qme-erf-krk
Gaussian Rosenzweig-Porter (GRP) random matrix ensemble is the only one in which the robust multifractal phase have a status of a mathematical theorem. In this paper we suggest an extension of the GRP model, the LN-RP model, by adopting a logarithmically-normal (LN) distribution of off-diagonal matrix elements. We show that large matrix elements from the tail of this distribution give rise to a peculiar weakly-ergodic phase that replaces both the multifractal and the fully-ergodic phases present in GRP ensemble. A new phase is characterized by the broken basis-rotation symmetry which the fully-ergodic phase respects. Thus in addition to the localization and ergodic transitions in LN-RP model there exists also the FWT transition between the two ergodic phases. We formulate the criteria of the localization, ergodic and FWT transitions and obtain the phase diagram of the model. We also suggest a new criteria of stability of the non-ergodic phases and prove that the Anderson transition in LN-RP model is discontinuous, in contrast to its GRP counterpart.