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Resolution of the exponent puzzle for the Anderson transition in doped semiconductors
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Carnio, Edoardo, Hine, Nicholas and Römer, Rudolf A. (2019) Resolution of the exponent puzzle for the Anderson transition in doped semiconductors. Physical Review B (Condensed Matter and Materials Physics), 99 (8). 081201(R). doi:10.1103/PhysRevB.99.081201 ISSN 1098-0121.
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Official URL: http://dx.doi.org/10.1103/PhysRevB.99.081201
Abstract
The Anderson metal-insulator transition (MIT) is central to our understanding of the quantum mechanical nature of disordered materials. Despite extensive efforts by theory and experiment, there is still no agreement on the value of the critical exponent ν describing the universality of the transition—the so-called “exponent puzzle.” In this Rapid Communication, going beyond the standard Anderson model, we employ ab initio methods to study the MIT in a realistic model of a doped semiconductor. We use linear-scaling density functional theory to simulate prototypes of sulfur-doped silicon (Si:S). From these we build larger tight-binding models close to the critical concentration of the MIT. When the dopant concentration is increased, an impurity band forms and eventually delocalizes. We characterize the MIT via multifractal finite-size scaling, obtaining the phase diagram and estimates of ν. Our results suggest an explanation of the long-standing exponent puzzle, which we link to the hybridization of conduction and impurity bands.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QC Physics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||
Library of Congress Subject Headings (LCSH): | Doped semiconductors, Metal-insulator transitions | ||||||
Journal or Publication Title: | Physical Review B (Condensed Matter and Materials Physics) | ||||||
Publisher: | American Physical Society | ||||||
ISSN: | 1098-0121 | ||||||
Official Date: | 6 February 2019 | ||||||
Dates: |
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Volume: | 99 | ||||||
Number: | 8 | ||||||
Article Number: | 081201(R) | ||||||
DOI: | 10.1103/PhysRevB.99.081201 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||
Date of first compliant deposit: | 11 February 2019 | ||||||
Date of first compliant Open Access: | 12 February 2019 | ||||||
RIOXX Funder/Project Grant: |
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