Electron-phonon interaction in two dimensions: Variation of Im[Sigma]([epsilon][sub [ital p]],[omega]) with increasing [omega][sub [ital D]]/[ital E][sub [ital F]]
- Department of Physics, Brock University, St. Catharines, Ontario, L2S 3A1 (Canada)
The interaction between phonons and a two-dimensional (2D) electron gas is studied beyond the Migdal approximation. The analysis of the vertex function leads to the relative correction of [vert bar]Im[Sigma]([epsilon][sub [ital p]],[omega])[vert bar] which is of the order of [lambda]([Omega][sub ph]+[ital aT])[ital E][sub [ital F]][sup [minus]1]ln([ital E][sub [ital F]]/[Omega][sub ph]). Here, [Omega][sub ph] is the average phonon frequency, and [ital a]([similar to]1) is the ratio between coupling constants for low-frequency and high-frequency phonon modes. For [vert bar][omega][vert bar][much gt][Omega][sub ph] the correction is [vert bar][omega][vert bar]/[ital E][sub [ital F]]. The physically relevant result is that significant corrections are present only when [vert bar][omega][vert bar][approx lt][Omega][sub ph],[vert bar][omega][minus][epsilon][sub [ital p]][vert bar][approx lt][Omega][sub ph] and they increase with temperature as [ital T][sup [delta]] with [delta][le]1 in the entire frequency region. Also, our results strongly suggest that the quasiparticle picture for a 2D electron gas in a 3D lattice has to be corrected by many-particle effects even at small [omega][sub [ital D]]/[ital E][sub [ital F]].
- OSTI ID:
- 5722815
- Journal Information:
- Physical Review, B: Condensed Matter; (United States), Vol. 48:22; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
Similar Records
High-[ital T][sub [ital c]] superconductors: Disordered metals with pairing via polarizability from localized states near the mobility edge
Signs of /Delta//ital m/ and /Delta//gamma/ of the /ital B//sub /ital d//-/ital B/bar ///sub /ital d// system
Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ELECTRON GAS
ELECTRON-PHONON COUPLING
FERMI LEVEL
HIGH-TC SUPERCONDUCTORS
MIGDAL THEORY
PHONONS
SELF-ENERGY
TEMPERATURE DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS
COUPLING
ENERGY
ENERGY LEVELS
FLUIDS
GASES
QUASI PARTICLES
SUPERCONDUCTORS
665411* - Basic Superconductivity Studies- (1992-)