Homogeneous electron liquid in arbitrary dimensions beyond the random phase approximation
Year: 2023
Authors: Pham LVD., Sattler P., Marques MAL., Benavides-Riveros CL.
Autors Affiliation: Martin Luther Univ Halle Wittenberg, Inst Phys, Halle An Der Saale, Germany; Ruhr Univ Bochum, Res Ctr Future Energy Mat & Syst, Univstr 150, D-44801 Bochum, Germany; Ruhr Univ Bochum, Fac Mech Engn Chair Artificial Intelligence forInt, Univstr 150, D-44801 Bochum, Germany; Univ Trento, Pitaevskii BEC Ctr, CNR INO & Dipartimento Fis, I-38123 Trento, Italy; Max Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, D-01187 Dresden, Germany.
Abstract: The homogeneous electron liquid is a cornerstone in quantum physics and chemistry. It is an archetypal system in the regime of slowly varying densities in which the exchange-correlation energy can be estimated with many methods. For high densities, the behavior of the ground-state energy is well-known for 1, 2, and 3 dimensions. Here, we extend this model to arbitrary integer dimensions and compute its correlation energy beyond the random phase approximation (RPA). We employ the approach developed by Singwi, Tosi, Land, and Sjolander (STLS), whose description of the electronic density response for 2D and 3D for metallic densities is known to be comparable to Quantum Monte-Carlo. For higher dimensions, we compare the results obtained for the correlation energy with the values previously obtained using RPA. We find that in agreement with what is known for 2 and 3 dimensions, the RPA tends to over-correlate the liquid also at higher dimensions. We furthermore provide new analytical formulae for the unconventional-dimensional case both for the real and imaginary parts of the Lindhard polarizability and for the local field correction of the STLS theory, and illustrate the importance of the plasmon contribution at those high dimensions.
Journal/Review: NEW JOURNAL OF PHYSICS
Volume: 25 (8) Pages from: 83040-1 to: 83040-16
More Information: We thank Robert Schlesier for helpful discussions. We acknowledge financial support from ’BiGmax’, the Max Planck Society’s research network on big-data-driven materials science, and the European Union’s Horizon Europe Research and Innovation program under the Marie Sklodowska-Curie Grant Agreement No 101065295 (C.L.B.-R.).KeyWords: homogeneous electron gas; electronic correlation; random phase approximation; unconventional dimensions; homogeneous electron liquid; strongly correlated electronic systemsDOI: 10.1088/1367-2630/acef4cImpactFactor: 2.800Citations: 1data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-09-15References taken from IsiWeb of Knowledge: (subscribers only)
