Linear response theory for light dark matter-electron scattering in materials
arXiv:2402.06817 · doi:10.1103/PhysRevResearch.6.033230
Abstract
We combine the non-relativistic effective theory of dark matter (DM) - electron interactions with linear response theory to obtain a formalism that fully accounts for screening and collective excitations in DM-induced electronic transition rate calculations for general DM-electron interactions. In the same way that the response of a dielectric material to an external electric field in electrodynamics is described by the dielectric function, so in our formalism the response of a detector material to a DM perturbation is described by a set of generalised susceptibilities which can be directly related to densities and currents arising from the non-relativistic expansion of the Dirac Hamiltonian. We apply our formalism to assess the sensitivity of non-spin-polarised detectors, and find that in-medium effects significantly affect the experimental sensitivity if DM couples to the detector's electron density, while being decoupled from other densities and currents. Our formalism can be straightforwardly extended to the case of spin-polarised materials.
28 pages, 4 figures. It agrees with the published version and corrects a typo in Eq. (A6)
References in corpus (45)
- Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
- A real-space grid implementation of the Projector Augmented Wave method
- Scalar Dark Matter candidates
- Direct Detection of Sub-GeV Dark Matter
- Light Dark Matter Search with Ionization Signals in XENON1T
- Excess Electronic Recoil Events in XENON1T
- A novel determination of the local dark matter density
- Direct Detection of WIMP Dark Matter: Concepts and Status
- SENSEI: Direct-Detection Results on sub-GeV Dark Matter from a New Skipper-CCD
- New Constraints and Prospects for sub-GeV Dark Matter Scattering off Electrons in Xenon
- Model-independent WIMP Scattering Responses and Event Rates: A Mathematica Package for Experimental Analysis
- Non-relativistic effective theory of dark matter direct detection
- Superconducting Detectors for Super Light Dark Matter
- Constraints on Sub-GeV Dark Matter-Electron Scattering from the DarkSide-50 Experiment
- Constraints on Light Dark Matter Particles Interacting with Electrons from DAMIC at SNOLAB
- DAMA/LIBRA and leptonically interacting Dark Matter
- Detection of sub-MeV Dark Matter with Three-Dimensional Dirac Materials
- First germanium-based constraints on sub-MeV Dark Matter with the EDELWEISS experiment
- Semiconductor Probes of Light Dark Matter
- Detection of Light Dark Matter With Optical Phonons in Polar Materials
- Directional Detection of Dark Matter with Two-Dimensional Targets
- Direct Detection of sub-GeV Dark Matter with Scintillating Targets
- Light spin-1/2 or spin-0 Dark Matter particles
- Diamond Detectors for Direct Detection of Sub-GeV Dark Matter
- Atomic responses to general dark matter-electron interactions
- Multi-Channel Direct Detection of Light Dark Matter: Theoretical Framework
- Determining Dark Matter-Electron Scattering Rates from the Dielectric Function
- Dirac Materials for Sub-MeV Dark Matter Detection: New Targets and Improved Formalism
- SiC Detectors for Sub-GeV Dark Matter
- DarkELF: A python package for dark matter scattering in dielectric targets
- Detecting Light Dark Matter with Magnons
- Searches for light dark matter using condensed matter systems
- Directional Dark Matter Detection in Anisotropic Dirac Materials
- Generalized Halo Independent Comparison of Direct Dark Matter Detection Data
- Dark matter scattering on electrons: Accurate calculations of atomic excitations and implications for the DAMA signal
- Direct detection of Light Anapole and Magnetic Dipole DM
- Effective Field Theory of Dark Matter Direct Detection With Collective Excitations
- Crystal responses to general dark matter-electron interactions
- Dark matter - electron interactions in materials beyond the dark photon model
- Directional detection of dark matter with anisotropic response functions
- Dark Matter Direct Detection in Materials with Spin-Orbit Coupling
- Constraints from a many-body method on spin-independent dark matter scattering off electrons using data from germanium and xenon detectors
- Prediction of Tunable Spin-Orbit Gapped Materials for Dark Matter Detection
- DM-electron scattering in materials: sum rules and heterostructures
- Carbon nanotubes as anisotropic target for dark matter
Cited by in corpus (5)
- Collective excitations and low-energy ionization signatures of relativistic particles in silicon detectors
- The Non-Relativistic Effective Field Theory Of Dark Matter-Electron Interactions
- Electronic structure of liquid xenon in the context of light dark matter direct detection
- A general upper bound on the light dark matter scattering rate in materials
- On the dark matter origin of an LDMX signal