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Coulomb gap in one-dimensional disordered electronic systems

Dutta, Amit and Fritz, Lars and Sen, Diptiman (2004) Coulomb gap in one-dimensional disordered electronic systems. In: Physical Review B (Condensed Matter and Materials Physics -1(I)), 69 (13). 132416-1-4.


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We study a one-dimensional system of spinless electrons in the presence of a long-range Coulomb interaction (LRCI) and a random chemical potential at each site. We present a Tomonaga-Luttinger liquid description of the system. We use the bosonization technique followed by the replica trick to average over the quenched randomness. An expression for the localization length of the system is obtained using the renormalization-group method and also a physical argument. We then find the density of states for different values of the energy; we get different expressions depending on whether the scale of energy is larger than or smaller than the inverse of the localization length. We work in the limit of weak disorder where the localization length is very large, at that length scale, the LRCI has the effect of reducing the interaction parameter K to a value much smaller than the noninteracting value of unity.

Item Type: Journal Article
Publication: Physical Review B (Condensed Matter and Materials Physics -1(I))
Publisher: American Physical Society (APS)
Additional Information: Copyright for this article belongs to American Physical Society (APS)
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited: 17 Aug 2004
Last Modified: 19 Sep 2010 04:14
URI: http://eprints.iisc.ac.in/id/eprint/1294

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