Abstract
A highly self-consistent theory maintaining the exact functional relations between the electron self-energy and the vertex part is employed to calculate the dielectric function \(\varepsilon({\bf q},\omega)\) very accurately in the homogeneous electron gas in two- and three-dimensions. By investigating the full dynamical properties of \(\varepsilon({\bf q},\omega)\) thus obtained, we find that the softening of excitonic collective modes is responsible for making the compressibility of the system negative at sufficiently low densities.
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Takada, Y. Excitonic Collective Mode and Negative Compressibility in Electron Liquids. J Supercond 18, 785–789 (2005). https://doi.org/10.1007/s10948-005-0081-3
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DOI: https://doi.org/10.1007/s10948-005-0081-3