Abstract

Elemental gallium possesses several intriguing properties, such as a low melting point, a density anomaly and an electronic structure in which covalent and metallic features coexist. In order to simulate this complex system, we construct an ab initio quality interaction potential by training a neural network on a set of density functional theory calculations performed on configurations generated in multithermal–multibaric simulations. Here we show that the relative equilibrium between liquid gallium, α-Ga, β-Ga, and Ga-II is well described. The resulting phase diagram is in agreement with the experimental findings. The local structure of liquid gallium and its nucleation into α-Ga and β-Ga are studied. We find that the formation of metastable β-Ga is kinetically favored over the thermodinamically stable α-Ga. Finally, we provide insight into the experimental observations of extreme undercooling of liquid Ga.

Highlights

  • Elemental gallium possesses several intriguing properties, such as a low melting point, a density anomaly and an electronic structure in which covalent and metallic features coexist

  • We find that the obtained neural network (NN) force field can describe the structural and other related properties of α-Ga, β-Ga, Ga-II, and liquid gallium well

  • In this work, we have combined a number of state-of-the-art computational techniques in order to construct a NN force field for gallium, which has many complex bonding and structural properties

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Summary

Introduction

Elemental gallium possesses several intriguing properties, such as a low melting point, a density anomaly and an electronic structure in which covalent and metallic features coexist. In order to simulate this complex system, we construct an ab initio quality interaction potential by training a neural network on a set of density functional theory calculations performed on configurations generated in multithermal–multibaric simulations. Micrometer-sized or submicrometer-size liquid gallium could be undercooled down to 150 K without solidification[4,9,10,11] In such scenario, the crystallization does not produce the stable α phase but mostly the β-Ga structure. As far as describing accurately the Ga interaction is concerned, an ab initio description is called for but running first-principles molecular dynamics (MD) is prohibitively expensive The solution to this conundrum has been first suggested by Behler and Parrinello[18] and consists in training a neural network (NN) on a large number of appropriately selected set of configurations. By comparing the nucleation properties of α-Ga and β-Ga, we find that the formation of metastable β-Ga is kinetically favored over the thermodynamically stable α-Ga above 174 K

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