Electron-electron interaction and instabilities in one-dimensional metals

Ramakrishnan, T. V. (1976) Electron-electron interaction and instabilities in one-dimensional metals Pramana - Journal of Physics, 7 (2). pp. 63-94. ISSN 0304-4289

PDF - Publisher Version

Official URL: http://www.ias.ac.in/j_archive/pramana/7/2/63-94/v...

Related URL: http://dx.doi.org/10.1007/BF02875317


The possible instabilities of a 1-dimensional itinerant electron gas are discussed, assuming electron-electron interaction to play the dominant role. As is well known, in the RPA, a 1-dimensional metal is prone to spin density wave (SDW), charge density wave (CDW) and Cooper pair (CP) instabilities. The spin channel decomposition of the irreducible scattering amplitude I is made and the spin channel projections are evaluated in terms of the matrix elements of bare electron-electron interaction V(x) for momenta of interest. It is found that if the bare electron interactionV(x) is repulsive and decreases monotonically with separation, only the SDW instability will occur. If the small separation (x≲ (2kF )-1) part of the interaction is greatly reduced or is made attractive, V(x) is non-monotonic, Vq (q≅ 2kF ) is negative, and a CDW instability is preferred. A CP instability is possible if the electron interaction is attractive,i.e., if [V q (0<q<kF )+Vq (q≃2kF )] <0.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:One-dimensional Metals; Electron-interaction; Instability
ID Code:63770
Deposited On:30 Sep 2011 06:45
Last Modified:18 May 2016 12:24

Repository Staff Only: item control page