Abstract
The energy of an electron gas with Coulomb interactions is obtained for very low temperatures in a strong magnetic field. In this so called quantum strong magnetic field limit the grand partition function is evaluated first, from which the correct Fermi energy is obtained. It is found that a new parameter characterizes the system. The exchange and ring diagram contributions are determined as functions of the density and the magnetic field through the new parameter. The results improve all the previous theories. The dielectric constant of the system is also determined as a function of the new parameter.
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This work was supported by the National Science Foundation.
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Isihara, A., Tsai, J.T. Electron gas in the quantum strong-magnetic field limit. Phys kondens Materie 15, 214–224 (1972). https://doi.org/10.1007/BF02422681
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DOI: https://doi.org/10.1007/BF02422681