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Electronic Correlations in Graphene: a bosonization study

Speaker: 
Mirco Milletari (GRC & Department of Physics, NUS)
Date: 
Wed, 30/04/2014 - 11:00am to 12:00pm
Location: 
S13-M01-11 (Physics Conference Room)
Event Type: 
Seminars

Abstract

We reconsider the problem of electron correlations in the low energy theory of Graphene. We derive the low energy interacting theory directly from the lattice model and show that, unlike in previous analysis, off diagonal density-density interaction terms are also present.

Using functional bosonization techniques, we show that the model with a long range Coulomb interaction and zero chemical potential can be solved in an essentially exact way. We derive the interacting Green's function, the anomalous dimension and the Fermi velocity renormalization. While some of these results have already been derived by various authors within a renormalization group approach, in our scheme the renormalized Fermi velocity turns out to be finite and independent from the high energy cut-off. Other observables like the momentum distribution function and the interacting density of states are also obtained and show typical Luttinger liquid behaviour.

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