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On logarithmic singularities in the density response function in strong magnetic fields

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Abstract

A three-dimensional electron gas in a magnetic field shows logarithmic singularitie in the density response, if the interaction is turned off. In the presence of an interaction between the electrons these singularities either should be damped or the system should undergo a phase transition into a spin-density wave state. For a model interaction, the first possibility is shown to be realized, for the singularities in the density response are shown to vanish. This result is obtained via parquet diagram techniques. It is argued that it should hold true quite generally, independent of the model interaction and of approximations simplifying the calculations.

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Authors and Affiliations

  1. Institut für Theoretische Physik der Universität zu Köln, Köln, Germany

    H. Schulz & H. Keiter

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  1. H. Schulz
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  2. H. Keiter
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Schulz, H., Keiter, H. On logarithmic singularities in the density response function in strong magnetic fields. J Low Temp Phys 11, 181–199 (1973). https://doi.org/10.1007/BF00655044

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  • DOI: https://doi.org/10.1007/BF00655044

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