Matches in SemOpenAlex for { <https://semopenalex.org/work/W3106532397> ?p ?o ?g. }
- W3106532397 endingPage "382" @default.
- W3106532397 startingPage "259" @default.
- W3106532397 abstract "The article reviews recent developments in the theory of fluctuations and correlations of energy levels and eigenfunction amplitudes in diffusive mesoscopic samples. Various spatial geometries are considered, with emphasis on low-dimensional (quasi-1D and 2D) systems. Calculations are based on the supermatrix sigma-model approach. The method reproduces, in so-called zero-mode approximation, the universal random matrix theory (RMT) results for the energy-level and eigenfunction fluctuations. Going beyond this approximation allows us to study system-specific deviations from universality, which are determined by the diffusive classical dynamics in the system. These deviations are especially strong in the far ``tails'' of the distribution function of the eigenfunction amplitudes (as well as of some related quantities, such as local density of states, relaxation time, etc.). These asymptotic ``tails'' are governed by anomalously localized states which are formed in rare realizations of the random potential. The deviations of the level and eigenfunction statistics from their RMT form strengthen with increasing disorder and become especially pronounced at the Anderson metal-insulator transition. In this regime, the wave functions are multifractal, while the level statistics acquires a scale-independent form with distinct critical features. Fluctuations of the conductance and of the local intensity of a classical wave radiated by a point-like source in the quasi-1D geometry are also studied within the sigma-model approach. For a ballistic system with rough surface an appropriately modified (``ballistic'') sigma-model is used. Finally, the interplay of the fluctuations and the electron-electron interaction in small samples is discussed, with application to the Coulomb blockade spectra." @default.
- W3106532397 created "2020-11-23" @default.
- W3106532397 creator A5039176864 @default.
- W3106532397 date "2000-03-01" @default.
- W3106532397 modified "2023-10-16" @default.
- W3106532397 title "Statistics of energy levels and eigenfunctions in disordered systems" @default.
- W3106532397 cites W1496401979 @default.
- W3106532397 cites W1545541147 @default.
- W3106532397 cites W1549056118 @default.
- W3106532397 cites W1549336420 @default.
- W3106532397 cites W1572802054 @default.
- W3106532397 cites W1573293896 @default.
- W3106532397 cites W1963891766 @default.
- W3106532397 cites W1964274961 @default.
- W3106532397 cites W1966645230 @default.
- W3106532397 cites W1967889635 @default.
- W3106532397 cites W1968292909 @default.
- W3106532397 cites W1968867044 @default.
- W3106532397 cites W1969847711 @default.
- W3106532397 cites W1970461709 @default.
- W3106532397 cites W1971795650 @default.
- W3106532397 cites W1972626923 @default.
- W3106532397 cites W1974183413 @default.
- W3106532397 cites W1974984301 @default.
- W3106532397 cites W1976570100 @default.
- W3106532397 cites W1977776794 @default.
- W3106532397 cites W1978201202 @default.
- W3106532397 cites W1978344032 @default.
- W3106532397 cites W1979023106 @default.
- W3106532397 cites W1979179672 @default.
- W3106532397 cites W1980291950 @default.
- W3106532397 cites W1980859589 @default.
- W3106532397 cites W1981302709 @default.
- W3106532397 cites W1982319241 @default.
- W3106532397 cites W1982631019 @default.
- W3106532397 cites W1983006543 @default.
- W3106532397 cites W1983026867 @default.
- W3106532397 cites W1983248784 @default.
- W3106532397 cites W1983861647 @default.
- W3106532397 cites W1983934434 @default.
- W3106532397 cites W1984071722 @default.
- W3106532397 cites W1985075800 @default.
- W3106532397 cites W1986730889 @default.
- W3106532397 cites W1987315703 @default.
- W3106532397 cites W1988704602 @default.
- W3106532397 cites W1990111194 @default.
- W3106532397 cites W1990446578 @default.
- W3106532397 cites W1992401701 @default.
- W3106532397 cites W1992880045 @default.
- W3106532397 cites W1993209954 @default.
- W3106532397 cites W1995710373 @default.
- W3106532397 cites W1995920526 @default.
- W3106532397 cites W1996346863 @default.
- W3106532397 cites W1996886360 @default.
- W3106532397 cites W2000903455 @default.
- W3106532397 cites W2001012549 @default.
- W3106532397 cites W2001524950 @default.
- W3106532397 cites W2002016894 @default.
- W3106532397 cites W2002964565 @default.
- W3106532397 cites W2003004217 @default.
- W3106532397 cites W2007398620 @default.
- W3106532397 cites W2008526673 @default.
- W3106532397 cites W2009681261 @default.
- W3106532397 cites W2009943797 @default.
- W3106532397 cites W2010469900 @default.
- W3106532397 cites W2013627611 @default.
- W3106532397 cites W2013939605 @default.
- W3106532397 cites W2014899420 @default.
- W3106532397 cites W2015003071 @default.
- W3106532397 cites W2015085256 @default.
- W3106532397 cites W2018366993 @default.
- W3106532397 cites W2023601862 @default.
- W3106532397 cites W2025071341 @default.
- W3106532397 cites W2026540712 @default.
- W3106532397 cites W2026976558 @default.
- W3106532397 cites W2027731740 @default.
- W3106532397 cites W2030245121 @default.
- W3106532397 cites W2031096259 @default.
- W3106532397 cites W2031362806 @default.
- W3106532397 cites W2032231305 @default.
- W3106532397 cites W2032379083 @default.
- W3106532397 cites W2036522346 @default.
- W3106532397 cites W2038517962 @default.
- W3106532397 cites W2038937846 @default.
- W3106532397 cites W2039263963 @default.
- W3106532397 cites W2039806009 @default.
- W3106532397 cites W2041013856 @default.
- W3106532397 cites W2041693037 @default.
- W3106532397 cites W2043518261 @default.
- W3106532397 cites W2043770351 @default.
- W3106532397 cites W2044358302 @default.
- W3106532397 cites W2044877117 @default.
- W3106532397 cites W2045454519 @default.
- W3106532397 cites W2045916941 @default.
- W3106532397 cites W2046059992 @default.
- W3106532397 cites W2046409845 @default.
- W3106532397 cites W2046776728 @default.
- W3106532397 cites W2047064649 @default.