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Quantum wires as Luttinger liquids: theory

  • Correlations and Disorder
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Advances in Solid State Physics 40

Part of the book series: Advances in Solid State Physics ((ASSP,volume 40))

Abstract

The present understanding of the physics of correlated electrons in quantum wires is summarized in terms of non-Fermi liquid collective excitations. The latter are determined within the Luttinger liquid model by using the bosonization technique. Charge and spin density modes are derived. Comparison with the data from resonant Raman scattering experiments indicates that interactions dominate the low-frequency collective excitations. The latter are determined within the Luttinger liquid model by using the bosonization technique. Charge and spin density modes are derived. Comparison with the data from resonant Raman scattering experiments indicates that interactions dominate the low-frequency collective modes in semiconductor quantum wires. Former “single particle excitations” in the resonant Raman spectra have been found to be due to higher-order spin modes that appear in both polarizations of incident and scattered light. The interplay in the non-linear DC-transport properties of a Luttinger liquid model with two impurities between interaction, spin, and backscattering by the impurities is discussed and compared with recent experiments. The results indicate that linear transport probes the global properties of the system, including the leads and the contacts. On the other hand, the non-linear differential conductance probes the local correlations near the electron island between the impurities.

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Authors and Affiliations

  1. Dipartimento di Fisica, INFM, Università di Genova, Via Dodecaneso 33, 16146, Genova, Italy

    M. Sassetti & B. Kramer

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  1. M. Sassetti
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  2. B. Kramer
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Bernhard Kramer

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Dedicated to Prof. Franz Wegner on the occasion of his 60th birthday

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© 2000 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

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Sassetti, M., Kramer, B. (2000). Quantum wires as Luttinger liquids: theory. In: Kramer, B. (eds) Advances in Solid State Physics 40. Advances in Solid State Physics, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108349

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  • DOI: https://doi.org/10.1007/BFb0108349

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  • Print ISBN: 978-3-540-41576-3

  • Online ISBN: 978-3-540-44560-9

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