Effective mass and Fermi surface complexity factor from ab initio band structure calculations
The effective mass is a convenient descriptor of the electronic band structure used to characterize the density of states and electron transport based on a free electron model. While effective mass is an excellent firstorder descriptor in real systems, the exact value can have several definitions, each of which describe a different aspect of electron transport. Here we use Boltzmann transport calculations applied to ab initio band structures to extract a densityofstates effective mass from the Seebeck Coefficient and an inertial mass from the electrical conductivity to characterize the band structure irrespective of the exact scattering mechanism. We identify a Fermi Surface Complexity Factor: N* _{v}K* from the ratio of these two masses, which in simple cases depends on the number of Fermi surface pockets (N* _{v}) and their anisotropy K*, both of which are beneficial to high thermoelectric performance as exemplified by the high values found in PbTe. The Fermi Surface Complexity factor can be used in highthroughput search of promising thermoelectric materials.
 Authors:

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^{[3]};
^{[4]};
^{[5]};
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^{[2]};
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^{[3]}
 California Inst. of Technology (CalTech), Pasadena, CA (United States)
 Univ. catholique de Louvain, LouvainlaNeuve (Belgium)
 Northwestern Univ., Evanston, IL (United States)
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Publication Date:
 Grant/Contract Number:
 AC0205CH11231
 Type:
 Accepted Manuscript
 Journal Name:
 npj Computational Materials
 Additional Journal Information:
 Journal Volume: 3; Journal Issue: 1; Related Information: © 2017 The Author(s).; Journal ID: ISSN 20573960
 Publisher:
 Nature Publishing Group
 Research Org:
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 36 MATERIALS SCIENCE
 OSTI Identifier:
 1476581
Gibbs, Zachary M., Ricci, Francesco, Li, Guodong, Zhu, Hong, Persson, Kristin, Ceder, Gerbrand, Hautier, Geoffroy, Jain, Anubhav, and Snyder, G. Jeffrey. Effective mass and Fermi surface complexity factor from ab initio band structure calculations. United States: N. p.,
Web. doi:10.1038/s4152401700133.
Gibbs, Zachary M., Ricci, Francesco, Li, Guodong, Zhu, Hong, Persson, Kristin, Ceder, Gerbrand, Hautier, Geoffroy, Jain, Anubhav, & Snyder, G. Jeffrey. Effective mass and Fermi surface complexity factor from ab initio band structure calculations. United States. doi:10.1038/s4152401700133.
Gibbs, Zachary M., Ricci, Francesco, Li, Guodong, Zhu, Hong, Persson, Kristin, Ceder, Gerbrand, Hautier, Geoffroy, Jain, Anubhav, and Snyder, G. Jeffrey. 2017.
"Effective mass and Fermi surface complexity factor from ab initio band structure calculations". United States.
doi:10.1038/s4152401700133. https://www.osti.gov/servlets/purl/1476581.
@article{osti_1476581,
title = {Effective mass and Fermi surface complexity factor from ab initio band structure calculations},
author = {Gibbs, Zachary M. and Ricci, Francesco and Li, Guodong and Zhu, Hong and Persson, Kristin and Ceder, Gerbrand and Hautier, Geoffroy and Jain, Anubhav and Snyder, G. Jeffrey},
abstractNote = {The effective mass is a convenient descriptor of the electronic band structure used to characterize the density of states and electron transport based on a free electron model. While effective mass is an excellent firstorder descriptor in real systems, the exact value can have several definitions, each of which describe a different aspect of electron transport. Here we use Boltzmann transport calculations applied to ab initio band structures to extract a densityofstates effective mass from the Seebeck Coefficient and an inertial mass from the electrical conductivity to characterize the band structure irrespective of the exact scattering mechanism. We identify a Fermi Surface Complexity Factor: N*vK* from the ratio of these two masses, which in simple cases depends on the number of Fermi surface pockets (N*v) and their anisotropy K*, both of which are beneficial to high thermoelectric performance as exemplified by the high values found in PbTe. The Fermi Surface Complexity factor can be used in highthroughput search of promising thermoelectric materials.},
doi = {10.1038/s4152401700133},
journal = {npj Computational Materials},
number = 1,
volume = 3,
place = {United States},
year = {2017},
month = {2}
}
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