Floquet theory for the electronic stopping of projectiles in solids

A theoretical framework for the study of electronic stopping of particle projectiles in crystalline solids is proposed. It neither relies on perturbative or linear-response approximations nor on an ideal metal host. Instead, it exploits the discrete translational invariance in a space-time diagonal...

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Main Authors: Nicolò Forcellini, Emilio Artacho
Format: Article
Language:English
Published: American Physical Society 2020-07-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.033151
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author Nicolò Forcellini
Emilio Artacho
author_facet Nicolò Forcellini
Emilio Artacho
author_sort Nicolò Forcellini
collection DOAJ
description A theoretical framework for the study of electronic stopping of particle projectiles in crystalline solids is proposed. It neither relies on perturbative or linear-response approximations nor on an ideal metal host. Instead, it exploits the discrete translational invariance in a space-time diagonal for a constant velocity projectile following a trajectory with crystalline periodicity. By means of Floquet theory, (stroboscopically) stationary solutions are characterized, and previous perturbative and jellium models are recovered. The threshold-velocity effect in insulators is analyzed based on quasienergy conservation.
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spelling doaj.art-94316ae4d4564e92bf3887c498ab0f7b2024-04-12T16:57:52ZengAmerican Physical SocietyPhysical Review Research2643-15642020-07-012303315110.1103/PhysRevResearch.2.033151Floquet theory for the electronic stopping of projectiles in solidsNicolò ForcelliniEmilio ArtachoA theoretical framework for the study of electronic stopping of particle projectiles in crystalline solids is proposed. It neither relies on perturbative or linear-response approximations nor on an ideal metal host. Instead, it exploits the discrete translational invariance in a space-time diagonal for a constant velocity projectile following a trajectory with crystalline periodicity. By means of Floquet theory, (stroboscopically) stationary solutions are characterized, and previous perturbative and jellium models are recovered. The threshold-velocity effect in insulators is analyzed based on quasienergy conservation.http://doi.org/10.1103/PhysRevResearch.2.033151
spellingShingle Nicolò Forcellini
Emilio Artacho
Floquet theory for the electronic stopping of projectiles in solids
Physical Review Research
title Floquet theory for the electronic stopping of projectiles in solids
title_full Floquet theory for the electronic stopping of projectiles in solids
title_fullStr Floquet theory for the electronic stopping of projectiles in solids
title_full_unstemmed Floquet theory for the electronic stopping of projectiles in solids
title_short Floquet theory for the electronic stopping of projectiles in solids
title_sort floquet theory for the electronic stopping of projectiles in solids
url http://doi.org/10.1103/PhysRevResearch.2.033151
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