Electronic structure of liquid xenon in the context of light dark matter direct detection
Riccardo Catena, Luca Marin, Marek Matas, Nicola A. Spaldin, Einar Urdshals
SciPost Phys. 19, 064 (2025) · published 3 September 2025
- doi: 10.21468/SciPostPhys.19.3.064
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Abstract
We present a description of the electronic structure of xenon within the density-functional theory formalism with the goal of accurately modeling dark-matter-induced ionisation in liquid xenon detectors. We compare the calculated electronic structures of the atomic, liquid and crystalline solid phases, and find that the electronic charge density and its derivatives in momentum space are similar in the atom and the liquid, consistent with the weak interatomic van der Waals bonding. The only notable difference is a band broadening of the highest occupied $5p$ levels, reflected in the densities of states of the condensed phases, as a result of the inter-atomic interactions. We therefore use the calculated density of states of the liquid phase, combined with the standard literature approach for the isolated atom, to recompute ionisation rates and exclusion limit curves for the XENON10 and XENON1T experiments. We find that the broadening of the 5$p$ levels induced by the liquid phase is relevant only for dark matter masses below 6 MeV, where it increases the ionisation rate relative to that of the isolated atom. For most of the explored mass range, the energies of the discrete 4$d$ and 5$s$ levels have the strongest effect on the rate. Our findings suggest a simple scheme for calculating dark matter-electron scattering rates in liquid noble gas detectors, using the calculated values for the atom weighted by the density of states of the condensed phase.
Supplementary Information
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Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Riccardo Catena,
- 2 Luca Marin,
- 2 3 Marek Matas,
- 2 Nicola Spaldin,
- 1 Einar Urdshals
- 1 Chalmers Tekniska Högskola / Chalmers University of Technology
- 2 Eidgenössische Technische Hochschule Zürich / Swiss Federal Institute of Technology in Zurich (ETH) [ETH Zurich]
- 3 České vysoké učení technické v Praze / Czech Technical University in Prague
- Eidgenössische Technische Hochschule Zürich / Swiss Federal Institute of Technology in Zurich (ETH) [ETH Zurich]
- FP7 Seventh Framework Programme (FP7) (through Organization: European Commission [EC])
- Knut och Alice Wallenbergs Stiftelse / Knut and Alice Wallenberg Foundation
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung / Swiss National Science Foundation [SNF]
- Vetenskapsrådet / Swedish Research Council
- České Vysoké Učení Technické v Praze
