Ions at Helium Interfaces: A Review

Ions in liquid helium exist in their simplest form in two configurations, as negatively charged "electron bubbles" (electrons in a void of about 35 Å in diameter) and as positive "snowballs" (He<sup>+</sup> ions surrounded by a sphere of solid helium, about 14 Å in diameter). Here, we give an overview of studies with these ions when they are trapped at interfaces between different helium phases, i.e., the "free" surface between liquid and vapor, but also the interfaces between liquid and solid helium at high pressure and between phase-separated <sup>3</sup>He-<sup>4</sup>He mixtures below the tricritical point. Three cases are discussed: (i) if the energy barrier provided by the interface is of the order of the thermal energy k<sub>B</sub><i>T</i>, the ions can pass from one phase to the other with characteristic trapping times at the interface, which are in qualitative agreement with the existing theories; (ii) if the energy barrier is sufficiently high, the ions are trapped at the interface for extended periods of time, forming 2D Coulomb systems with intriguing properties; and (iii) at high electric fields and high ion densities, an electrohydrodynamic instability takes place, which is a model for critical phenomena.

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Publication Details

Journal
Entropy
Published
2026-01-16
DOI
https://doi.org/10.3390/e28010109
Primary Topic
Quantum, superfluid, helium dynamics
Type
article
Field-Weighted Citation Impact
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article

Ions at Helium Interfaces: A Review

Paul Leiderer
Entropy
Quantum, superfluid, helium dynamics
article

Ions at Helium Interfaces: A Review

Paul Leiderer
article en

Abstract

Ions in liquid helium exist in their simplest form in two configurations, as negatively charged "electron bubbles" (electrons in a void of about 35 Å in diameter) and as positive "snowballs" (He<sup>+</sup> ions surrounded by a sphere of solid helium, about 14 Å in diameter). Here, we give an overview of studies with these ions when they are trapped at interfaces between different helium phases, i.e., the "free" surface between liquid and vapor, but also the interfaces between liquid and solid helium at high pressure and between phase-separated <sup>3</sup>He-<sup>4</sup>He mixtures below the tricritical point. Three cases are discussed: (i) if the energy barrier provided by the interface is of the order of the thermal energy k<sub>B</sub><i>T</i>, the ions can pass from one phase to the other with characteristic trapping times at the interface, which are in qualitative agreement with the existing theories; (ii) if the energy barrier is sufficiently high, the ions are trapped at the interface for extended periods of time, forming 2D Coulomb systems with intriguing properties; and (iii) at high electric fields and high ion densities, an electrohydrodynamic instability takes place, which is a model for critical phenomena.

EntropyVol. 28(1)
University of Konstanz (DE)
Affordable and clean energy
Openalex Percentile: Top 83%
Quantum, superfluid, helium dynamics
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Ions at Helium Interfaces: A Review — Paul Leiderer · Entropy (2026) | TGRS Research Map | TGRS