Coulomb gap in one-dimensional disordered electronic systems

Dutta, Amit ; Fritz, Lars ; Sen, Diptiman (2004) Coulomb gap in one-dimensional disordered electronic systems Physical Review B, 69 (13). ISSN 1098-0121

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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:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:117216
Deposited On:21 Apr 2021 12:02
Last Modified:21 Apr 2021 12:02

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