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Title

Transport in Luttinger Liquids

Authors
Nattermann, T.
Le Doussal, P.
Published in Lerner, I. V. & Altshuler, B. L. & Gefen, Y. Fundamental Problems of Mesoscopic Physic. Dordrecht (Pays-Bas): Springer. 2004, p. 275-284
Collection NATO Science Series II: Mathematics, Physics and Chemistry; 154
Abstract We compute the transport properties of one dimensional interacting electrons, also known as a Luttinger liquid. We show that a renormalization group study allows to obtain the temperature dependence of the conductivity in an intermediate temperature range. In this range the conductivity has a power-law like dependence in temperature. At low temperatures, the motion proceed by tunnelling between localized configurations. We compute this tunnelling rate using a bosonization representation and an instanton technique. We find a conductivity σ(T)∝e−β1/2, where β is the temperature. We compare this results with the standard variable range hopping (VRH) formula.
Keywords Luttinger liquidCreepConductivityVariable range hoppingDisorder
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ISBN: 978-1-4020-2192-3
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GIAMARCHI, Thierry, NATTERMANN, T., LE DOUSSAL, P. Transport in Luttinger Liquids. In: Lerner, I. V. & Altshuler, B. L. & Gefen, Y. (Ed.). Fundamental Problems of Mesoscopic Physic. Dordrecht (Pays-Bas) : Springer, 2004. p. 275-284. (NATO Science Series II: Mathematics, Physics and Chemistry; 154) https://archive-ouverte.unige.ch/unige:36142

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Deposited on : 2014-04-29

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