Energy spectrum structure and quantum states of disordered condensed systems

CONTENTS
1. Introduction. Choice of Model 549
2. Formulation of the Problem. General Considerations 552
3. The Behavior of the Spectral Density Near the True Boundary of the Spectrum 553
4. The Behavior of the Spectral Density Near Impurity Levels. The Theory of the Broadening of Levels with Concentration 555
5. Structure of the Spectrum Near the Unperturbed Boundary, E⁰_g 561
6. The Structure of the Entire Spectrum 566
7. Some Other Models of Disordered Structures 571
Cited Literature 573

PACS: 71.55.Jv, 71.23.−k (all)
DOI: 10.1070/PU1965v007n04ABEH003634
URL: https://ufn.ru/en/articles/1965/4/c/
Citation: Lifshitz I M "Energy spectrum structure and quantum states of disordered condensed systems" Sov. Phys. Usp. 7 549–573 (1965)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Лифшиц И М «О структуре энергетического спектра и квантовых состояниях неупорядоченных конденсированных систем» УФН 83 617–663 (1964); DOI: 10.3367/UFNr.0083.196408c.0617

Cited by (556) Similar articles (20) ↓

D.N. Zubarev “Double-time Green functions in statistical physics” Sov. Phys. Usp. 3 320–345 (1960)
M.A. Krivoglaz “Fluctuon states of electrons” Sov. Phys. Usp. 16 856–877 (1974)
A.L. Efros “Electron localization in disordered systems (the Anderson transition)” Sov. Phys. Usp. 21 746–760 (1978)
M.V. Sadovskii “Electron localization in disordered systems: critical behavior and macroscopic manifestations” Sov. Phys. Usp. 24 96–115 (1981)
A.S. Mikhailov, I.V. Uporov “Critical phenomena in media with breeding, decay, and diffusion” Sov. Phys. Usp. 27 695–714 (1984)
A.S. Davydov “The theory of molecular excitons” Sov. Phys. Usp. 7 145–178 (1964)
A.L. Efros “Density of states and interband absorption of light in strongly doped semiconductors” Sov. Phys. Usp. 16 789–805 (1974)
I.M. Lifshitz, M.I. Kaganov “Some problems of the electron theory of metals I. Classical and quantum mechanics of electrons in metals” Sov. Phys. Usp. 2 831–855 (1960)
I.M. Lifshitz, M.I. Kaganov “Some problems of the electron theory of metals II. Statistical mechanics and thermodynamics of electrons in metals” Sov. Phys. Usp. 5 878–907 (1963)
V.A. Gritsenko “Structure of silicon/oxide and nitride/oxide interfaces” Phys. Usp. 52 869–877 (2009)
B.I. Shklovskii, A.L. Éfros “Percolation theory and conductivity of strongly inhomogeneous media” Sov. Phys. Usp. 18 845–862 (1975)
I.V. Kukushkin, S.V. Meshkov, V.B. Timofeev “Two-dimensional electron density of states in a transverse magnetic field” Sov. Phys. Usp. 31 511–534 (1988)
Yu.A. Izyumov “Hubbard model of strong correlations” Phys. Usp. 38 385–408 (1995)
A.A. Abrikosov “Magnetic impurities in nonmagnetic metals” Sov. Phys. Usp. 12 168–181 (1969)
L.N. Bulaevskii “Superconductivity and electronic properties of layered compounds” Sov. Phys. Usp. 18 514–532 (1975)
V.B. Shikin “Mobility of charges in liquid, solid, and dense gaseous helium” Sov. Phys. Usp. 20 226–248 (1977)
L.N. Ovander “Nonlinear optical effects in crystals” Sov. Phys. Usp. 8 337–359 (1965)
V.A. Alekseev, A.A. Andreev, V.Ya. Prokhorenko “Electric Properties of Liquid Metals and Semiconductors” Sov. Phys. Usp. 15 139–158 (1972)
A.A. Ovchinnikov, I.I. Ukrainskii, G.V. Kventsel’ “Theory of one-dimensional mott semiconductors and the electronic structure of long molecules having conjugated bonds” Sov. Phys. Usp. 15 575–591 (1973)
N.B. Brandt, E.S. Itskevich, N.Ya. Minina “Influence of pressure on the Fermi surface of metals” Sov. Phys. Usp. 14 438–454 (1972)

The list is formed automatically.