Abstract
We calculate the single-particle excitation spectrum and the Landau liquid parameters for the archetypal model of solids, the three-dimensional uniform electron gas, with the variational diagrammatic Monte Carlo method, which gives numerically controlled results without systematic error. In the metallic range of density, we establish benchmark values for the wave-function renormalization factor Z, the effective mass m^*/m, and the Landau parameters F_0^s and F_0^a with unprecedented accuracy, and we resolve the long-standing puzzle of non-monotonic dependence of mass on density. We also exclude the possibility that experimentally measured large reduction of bandwidth in Na metal can originate from the charge and spin fluctuations contained in the model of the uniform electron gas.
Highlights
We calculate the single-particle excitation spectrum and the Landau liquid parameters for the archetypal model of solids, the three-dimensional uniform electron gas, with the variational diagrammatic Monte Carlo method, which gives numerically controlled results without systematic error
The ground-state properties of the model have been very precisely calculated by quantum Monte Carlo m ethods[1], and this allowed one to build approximate density functionals[2,3], which are at the heart of the ab-initio approaches in material science and modern theory-driven materials design
Some aspects of the excitation spectra, such as the quasiparticle renormalization amplitude, were recently determined by extention of the variational Monte Carlo method in Ref.[14], which turn out to be in very good agreement with our current results
Summary
We calculate the single-particle excitation spectrum and the Landau liquid parameters for the archetypal model of solids, the three-dimensional uniform electron gas, with the variational diagrammatic Monte Carlo method, which gives numerically controlled results without systematic error. We calculate the single-particle excitation spectra, and in particular, we give controlled values of the wave-function renormalization factor Z, the quasiparticle effective mass ratio m∗/m and the Landau Fermi liquid parameters F0a and F0s .
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