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Title: Relativistic quasiparticle band structures of Mg2Si, Mg2Ge, and Mg2Sn: Consistent parameterization and prediction of Seebeck coefficients

Journal Article · · Journal of Applied Physics
DOI:https://doi.org/10.1063/1.5018186· OSTI ID:1543853

We apply density functional and many-body perturbation theory calculations to consistently determine and parameterize the relativistic quasiparticle band structures of Mg2Si, Mg2Ge, and Mg2Sn, and predict the Seebeck coefficient as a function of doping and temperature. The quasiparticle band gaps, including spin-orbit coupling effects, are determined to be 0.728 eV, 0.555 eV, and 0.142 eV for Mg2Si, Mg2Ge, and Mg2Sn, respectively. The inclusion of the semicore electrons of Mg, Ge, and Sn in the valence is found to be crucial for the accurate determination of the band gaps of Mg2Ge and Mg2Sn. We also developed a Luttinger-Kohn Hamiltonian and determined a set of band parameters to model the near-edge relativistic quasiparticle band structure consistently for all three compounds that can be applied for thermoelectric device simulations. Our calculated values for the Seebeck coefficient of all three compounds are in good agreement with the available experimental data for a broad range of temperatures and carrier concentrations. Our findings suggest that quasiparticle corrections are necessary for the accurate determination of Seebeck coefficients at high temperatures at which bipolar transport becomes important.

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, Oakland, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1543853
Alternate ID(s):
OSTI ID: 1422857
Journal Information:
Journal of Applied Physics, Vol. 123, Issue 8; ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

References (60)

Thermoelectric properties of Bi-doped Mg2Si semiconductors journal July 2005
Highly effective Mg 2 Si 1 x Sn x thermoelectrics journal July 2006
Convergence of Conduction Bands as a Means of Enhancing Thermoelectric Performance of n -Type Mg 2 Si 1 x Sn x Solid Solutions journal April 2012
Thermal conductivity of bulk and nanowire Mg 2 Si x Sn 1 x alloys from first principles journal November 2012
n-type thermoelectric material Mg 2 Sn 0.75 Ge 0.25 for high power generation journal March 2015
Thermoelectric Properties of Mg 2 ( Ge , Sn ) : Model and Optimization of Z T journal February 2016
Phase stability of ternary antifluorite type compounds in the quasi-binary systems Mg2X–Mg2Y (X, Y = Si, Ge, Sn) via ab-initio calculations journal December 2012
Optimization of the Electronic Band Structure and the Lattice Thermal Conductivity of Solid Solutions According to Simple Calculations: A Canonical Example of the Mg 2 Si 1– xy Ge x Sn y Ternary Solid Solution journal July 2016
High thermoelectric figure of merit of Mg2Si0.55Sn0.4Ge0.05 materials doped with Bi and Sb journal October 2013
Suppressing the bipolar contribution to the thermoelectric properties of Mg 2 Si 0.4 Sn 0.6 by Ge substitution journal April 2015
Electronic Structure and Optical Properties of Mg 2 Si, Mg 2 Ge, and Mg 2 Sn journal February 1969
First-principles calculations of the structural, electronic and optical properties of IIA-IV antifluorite compounds journal August 2005
Structural, bonding, and electronic properties of IIA-IV antifluorite compounds journal December 1993
Importance of relativistic effects in electronic structure and thermopower calculations for Mg 2 Si , Mg 2 Ge , and Mg 2 Sn journal March 2014
Calculating electron transport coefficients of disordered alloys using the KKR-CPA method and Boltzmann approach: Application to Mg 2 Si 1 x Sn x thermoelectrics journal May 2013
Influence of the modified Becke-Johnson exchange potential on thermoelectric properties: Application to Mg 2 Si journal December 2011
Doping and temperature dependence of thermoelectric properties in Mg 2 (Si,Sn) journal October 2012
Unraveling the origins of conduction band valley degeneracies in Mg 2 Si 1−x Sn x thermoelectrics journal January 2016
Electron-hole excitations in Mg 2 Si and Mg 2 Ge compounds journal June 2001
Modeling of Thermoelectric Properties of Magnesium Silicide (Mg2Si) journal March 2012
Electron transport modeling and energy filtering for efficient thermoelectric Mg 2 Si 1 x Sn x solid solutions journal February 2014
Thermoelectric properties of highly efficient Bi-doped Mg 2 Si 1− x−y Sn x Ge y materials journal September 2014
Motion of Electrons and Holes in Perturbed Periodic Fields journal February 1955
Generalized Gradient Approximation Made Simple journal October 1996
Momentum-space formalism for the total energy of solids journal November 1979
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
Efficient pseudopotentials for plane-wave calculations journal January 1991
Optimization algorithm for the generation of ONCV pseudopotentials journal November 2015
The PseudoDojo: Training and grading a 85 element optimized norm-conserving pseudopotential table journal May 2018
Elastic Constants of II-IV Semiconductors journal May 1972
Special points for Brillouin-zone integrations journal June 1976
Electron correlation in semiconductors and insulators: Band gaps and quasiparticle energies journal October 1986
BerkeleyGW: A massively parallel computer package for the calculation of the quasiparticle and optical properties of materials and nanostructures journal June 2012
Coulomb-hole summations and energies for G W calculations with limited number of empty orbitals: A modified static remainder approach journal April 2013
Spin-orbit splitting in semiconductors and insulators from the ab initio pseudopotential journal August 1986
Quasiparticle semiconductor band structures including spin–orbit interactions journal February 2013
Quasiparticle band structures and thermoelectric transport properties of p-type SnSe journal February 2015
Maximally localized Wannier functions: Theory and applications journal October 2012
wannier90: A tool for obtaining maximally-localised Wannier functions journal May 2008
Transport coefficients from first-principles calculations journal September 2003
Electronic structure and volume effect on thermoelectric transport in p -type Bi and Sb tellurides journal April 2010
Pb 7 Bi 4 Se 13 : A Lillianite Homologue with Promising Thermoelectric Properties journal August 2014
Theoretical limits of thermoelectric figure of merit in n -type TiO 2 polymorphs journal April 2015
Semiconducting Properties of Mg 2 Si Single Crystals journal March 1958
Photoconductivity in Mg2Si AND Mg2Ge journal November 1964
Pressure Coefficient of the Band Gap in Mg2Si, Mg2Ge, and Mg2Sn journal January 1967
Infrared Absorption in Mg 2 Ge journal January 1966
Photothresholds in Mg 2 Ge journal August 1964
Infrared Absorption of Magnesium Stannide journal February 1964
Electrical and Optical Properties of Intermetallic Compounds. IV. Magnesium Stannide journal October 1955
Solid-State Synthesis of Thermoelectric Materials in Mg–Si–Ge System journal January 2005
Electroreflectance Measurements on Mg 2 Si, Mg 2 Ge, and Mg 2 Sn journal December 1968
Effect of semicore orbitals on the electronic band gaps of Si, Ge, and GaAs within the GW approximation journal March 2004
Influence of Sb doping on thermoelectric properties of Mg2Ge materials journal January 2015
Electronic and thermal transport properties of Mg2Sn crystals containing finely dispersed eutectic structures journal November 2010
Compilation of Energy Band Gaps in Elemental and Binary Compound Semiconductors and Insulators journal January 1973
Thermal Conductivity book January 2004
Momentum-space formalism for the total energy of solids journal June 1980
Maximally localized Wannier functions: Theory and applications text January 2011
Coulomb-hole summations and energies for GW calculations with limited number of empty orbitals: a modified static remainder approach text January 2012

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