Ramakrishnan, T. V. (1976) Electronelectron interaction and instabilities in onedimensional metals Pramana  Journal of Physics, 7 (2). pp. 6394. ISSN 03044289

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Official URL: http://www.ias.ac.in/j_archive/pramana/7/2/6394/v...
Related URL: http://dx.doi.org/10.1007/BF02875317
Abstract
The possible instabilities of a 1dimensional itinerant electron gas are discussed, assuming electronelectron interaction to play the dominant role. As is well known, in the RPA, a 1dimensional 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 electronelectron 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≲ (2k_{F} )^{1}) part of the interaction is greatly reduced or is made attractive, V(x) is nonmonotonic, V_{q} (q≅ 2k_{F} ) 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<k_{F} )+Vq (q≃2k_{F} )] <0.
Item Type:  Article 

Source:  Copyright of this article belongs to Indian Academy of Sciences. 
Keywords:  Onedimensional Metals; Electroninteraction; Instability 
ID Code:  63770 
Deposited On:  30 Sep 2011 06:45 
Last Modified:  18 May 2016 12:24 
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