Effective mass and Fermi surface complexity factor from ab initio band structure calculations

Gibbs, Zachary M.;Ricci, Francesco;Li, Guodong;Zhu, Hong;Snyder, G. Jeffrey;et.al.
(2017) N P J Computational Materials — Vol. 3, n° 1, p. 1-7 (2017)

Files

gibbs2017.pdf
  • Open Access
  • Adobe PDF
  • 1.27 MB

Details

Authors
  • Gibbs, Zachary M.California Institute of Technology, Division of Chemistry and Chemical Engineering, Pasadena, CA, USA
    Author
  • Ricci, FrancescoUCLouvain
    Author
  • Li, GuodongDepartment of Materials Science and Engineering, Northwestern University, Evanston, IL, USA
    Author
  • Zhu, HongDepartment of Materials Science and Engineering, Massachusetts Institute of Technology, Massachusetts, USA
    Author
  • Hautier, GeoffroyUCLouvain
    Author
  • Snyder, G. JeffreyDepartment of Materials Science and Engineering, Northwestern University, Evanston, IL, USA
    Author
Show more
Abstract
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 first-order 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 density-of-states 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 ðN*vÞ 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 high-throughput search of promising thermoelectric materials.
Affiliations

Citations

Gibbs, Z. M., Ricci, F., Li, G., Zhu, H., Persson, K., Ceder, G., Hautier, G., Jain, A., & Snyder, G. J. (2017). Effective mass and Fermi surface complexity factor from ab initio band structure calculations. N P J Computational Materials, 3(1), 1-7. https://doi.org/10.1038/s41524-017-0013-3 (Original work published 2017)