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High entropy alloys present a new class of disordered metals which holdpromising prospects for the next generation of materials and technology.However, much of the basic physics underlying these robust, multifunctionalmaterials -- and those of other, more generic forms of disordered matter --still remain the subject of ongoing inquiry. We thus present a minimal-workingmodel that describes the disorder-driven fluctuations in the electronic chargedistributions and electrostatic "Madelung" fields in disordered metals. Ourtheory follows a standard perturbative scheme and captures the leadingcontributions from dominant electronic processes, including electrostaticscreening and impurity scattering events. We show here that a modestfirst-order treatment incorporating these effects is sufficient to reproducethe linear charge transfer trends featured in both high-entropy and otherconventional alloys, our model also shedding light on the microscopic originsof these statistical features. We further elaborate on the nature of theseelectronic charge and Madelung field fluctuations by determining how theseemerge from the statistics of the underlying disorder, and how these can bedescribed using the linear response formulation that we develop here. In doingso, our work answers various questions which have long-perplexed the disorderedmaterials community. It also opens up possible avenues for providing systematiccorrections to modern first-principles approaches to disorder-modeling (e.g.the conventional CPA method) which currently lack these statistical features.

Mechanism of charge transfer and electrostatic field fluctuations in high entropy metallic alloys