Abstract
Previous weak-coupling expansions of the ground-state energy for a Fröhlich type polaron in two dimensions subject to a perpendicular uniform magnetic field are extended to non-zero temperatures by using the path-integral representation. For every temperature the second-order contribution becomes positive for sufficiently high fields implying that a seemingly natural generalisation of the Jensen-Feynman inequality does not exist.
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Broderix, K., Heldt, N. & Leschke, H. Weak-coupling expansion for the free energy of the magneto-polaron in two dimensions. Z. Physik B - Condensed Matter 66, 507–513 (1987). https://doi.org/10.1007/BF01303900
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DOI: https://doi.org/10.1007/BF01303900