The Seebeck Coefficient and Phonon Drag in Silicon

Mahan, Gerald; Lindsay, Lucas R.; Broido, David

doi:10.1063/1.4904925

Title: The Seebeck Coefficient and Phonon Drag in Silicon

Abstract

We present a theory of the phonon-drag Seebeck coe cient in nondegenerate semiconductors, and apply it to silicon for temperatures 30 < T < 300K. Our calculation uses only parameters from the literature, and previous calculations of the phonon lifetime. We nd excellent agreement with the measurements of Geballe and Hull [Phys.Rev. 98, 940 (1955)]. The phonon-drag term dominates at low temperature, and shows an important dependence on the dimensions of the experimental sample.

Authors:

Mahan, Gerald ^[1]; Lindsay, Lucas R. ^[2]; Broido, David ^[3]

Pennsylvania State Univ., University Park, PA (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Boston College, Chestnut Hill, MA (United States)

Publication Date:: Mon Dec 29 00:00:00 EST 2014

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1185754

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Applied Physics

Additional Journal Information:: Journal Volume: 116; Journal ID: ISSN 0021-8979

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE

Citation Formats


                    Mahan, Gerald, Lindsay, Lucas R., and Broido, David. The Seebeck Coefficient and Phonon Drag in Silicon.  United States: N. p., 2014. 
Web.  doi:10.1063/1.4904925.

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                    Mahan, Gerald, Lindsay, Lucas R., & Broido, David. The Seebeck Coefficient and Phonon Drag in Silicon.  United States.  https://doi.org/10.1063/1.4904925

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                    Mahan, Gerald, Lindsay, Lucas R., and Broido, David. Mon .  
"The Seebeck Coefficient and Phonon Drag in Silicon".  United States.  https://doi.org/10.1063/1.4904925.  https://www.osti.gov/servlets/purl/1185754.

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@article{osti_1185754,

  title        = {The Seebeck Coefficient and Phonon Drag in Silicon},

  author       = {Mahan, Gerald and Lindsay, Lucas R. and Broido, David},

  abstractNote = {We present a theory of the phonon-drag Seebeck coe cient in nondegenerate semiconductors, and apply it to silicon for temperatures 30 < T < 300K. Our calculation uses only parameters from the literature, and previous calculations of the phonon lifetime. We nd excellent agreement with the measurements of Geballe and Hull [Phys.Rev. 98, 940 (1955)]. The phonon-drag term dominates at low temperature, and shows an important dependence on the dimensions of the experimental sample.},

  doi          = {10.1063/1.4904925},

  journal      = {Journal of Applied Physics},

  number       = ,

  volume       = 116,

  place        = {United States},

  year         = {Mon Dec 29 00:00:00 EST 2014},

  month        = {Mon Dec 29 00:00:00 EST 2014}

}

Copy to clipboard

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Works referenced in this record:

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Works referencing / citing this record:

Enhancing the Seebeck effect in Ge/Si through the combination of interfacial design features
journal, November 2019

Nadtochiy, Andriy; Kuryliuk, Vasyl; Strelchuk, Viktor
Scientific Reports, Vol. 9, Issue 1
DOI: 10.1038/s41598-019-52654-z

Introduction to thermoelectrics
journal, October 2016

Mahan, G. D.
APL Materials, Vol. 4, Issue 10
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Ab initio optimization of phonon drag effect for lower-temperature thermoelectric energy conversion
journal, November 2015

Zhou, Jiawei; Liao, Bolin; Qiu, Bo
Proceedings of the National Academy of Sciences, Vol. 112, Issue 48
DOI: 10.1073/pnas.1512328112

First-principles calculations of thermal, electrical, and thermoelectric transport properties of semiconductors
journal, March 2016

Zhou, Jiawei; Liao, Bolin; Chen, Gang
Semiconductor Science and Technology, Vol. 31, Issue 4
DOI: 10.1088/0268-1242/31/4/043001

A microstructuring route to enhanced thermoelectric efficiency of reduced graphene oxide films
journal, April 2019

Mehmood, Tariq; Kim, Jin Ho; Lee, Do-Joong
Materials Research Express, Vol. 6, Issue 7
DOI: 10.1088/2053-1591/ab18d7

Thermoelectric coefficients of $n$ -doped silicon from first principles via the solution of the Boltzmann transport equation
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Fiorentini, Mattia; Bonini, Nicola
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Nadtochiy, Andriy; Kuryliuk, Vasyl; Strelchuk, Viktor
Scientific Reports, Vol. 9, Issue 1
DOI: 10.1038/s41598-019-52654-z

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Similar Records

Title: The Seebeck Coefficient and Phonon Drag in Silicon

Abstract

Citation Formats

Thermal Conductivity, Electrical Resistivity, and Seebeck Coefficient of Silicon from 100 to 1300°K journal, March 1968

Seebeck Effect in Silicon Semiconductors journal, May 2012

Intrinsic lattice thermal conductivity of semiconductors from first principles journal, December 2007

Ab initio thermal transport in compound semiconductors journal, April 2013

Isotope scattering of dispersive phonons in Ge journal, January 1983

Theory of screening and electron mobility: Application to n -type silicon journal, December 1992

Phonon-Drag Thermoelectric Effect in Piezoelectric Semiconductors journal, July 1965

Impurity and Lattice Scattering Parameters as Determined from Hall and Mobility Analysis in n -Type Silicon journal, December 1973

Seebeck Effect in Germanium journal, June 1954

Ionized-Impurity Scattering Mobility of Electrons in Silicon journal, September 1959

Electrical Properties of Silicon Containing Arsenic and Boron journal, October 1954

Intrinsic phonon relaxation times from first-principles studies of the thermal conductivities of Si and Ge journal, February 2010

Phonon-drag effect anisotropy parameter of the thermoelectric power in n-Ge journal, December 1968

Effect of Isotopes on Low-Temperature Thermal Conductivity journal, February 1957

Normal processes of phonon-phonon scattering and the drag thermopower in germanium crystals with isotopic disorder journal, June 2003

Seebeck Effect in Silicon journal, May 1955

Influence of the doping element on the electron mobility in n-silicon journal, March 1998

Theory of the Thermoelectric Power of Semiconductors journal, December 1954

Lattice-Scattering Mobility in Germanium journal, January 1954

Isotope effect on the phonon-drag component of the thermoelectric power of germanium journal, October 2003

Phonon-drag effects on thermoelectric power journal, August 1996

Comment on “Influence of the doping element on the electron mobility in n silicon” [J. Appl. Phys. 83 , 3096 (1998)] journal, June 1999

Thermoelectric Power of Germanium below Room Temperature journal, October 1953

PHONON DRAG AND CARRIER DIFFUSION CONTRIBUTIONS IN THERMOELECTRIC POWER OF K 3 C 60 FULLERIDES journal, September 2012

Phonon drag in disordered films and structures journal, May 2002

Transport properties of silicon journal, August 1991

Fundamental relationship between the Herring and Cantrell-Butcher formulas for the phonon-drag thermopower of two-dimensional electron and hole gases journal, October 2001

Electron Mobility in Ge, Si, and GaP journal, September 1972

Phonon-drag effects on thermoelectric power text, January 1995

Enhancing the Seebeck effect in Ge/Si through the combination of interfacial design features journal, November 2019

Introduction to thermoelectrics journal, October 2016

Ab initio optimization of phonon drag effect for lower-temperature thermoelectric energy conversion journal, November 2015

First-principles calculations of thermal, electrical, and thermoelectric transport properties of semiconductors journal, March 2016

A microstructuring route to enhanced thermoelectric efficiency of reduced graphene oxide films journal, April 2019

Thermoelectric coefficients of n -doped silicon from first principles via the solution of the Boltzmann transport equation journal, August 2016

Enhancing the Seebeck effect in Ge/Si through the combination of interfacial design features journal, November 2019

Thermal Conductivity, Electrical Resistivity, and Seebeck Coefficient of Silicon from 100 to 1300°K
journal, March 1968

Seebeck Effect in Silicon Semiconductors
journal, May 2012

Intrinsic lattice thermal conductivity of semiconductors from first principles
journal, December 2007

Ab initio thermal transport in compound semiconductors
journal, April 2013

Isotope scattering of dispersive phonons in Ge
journal, January 1983

Theory of screening and electron mobility: Application to n -type silicon
journal, December 1992

Phonon-Drag Thermoelectric Effect in Piezoelectric Semiconductors
journal, July 1965

Impurity and Lattice Scattering Parameters as Determined from Hall and Mobility Analysis in $n$ -Type Silicon
journal, December 1973

Seebeck Effect in Germanium
journal, June 1954

Ionized-Impurity Scattering Mobility of Electrons in Silicon
journal, September 1959

Electrical Properties of Silicon Containing Arsenic and Boron
journal, October 1954

Intrinsic phonon relaxation times from first-principles studies of the thermal conductivities of Si and Ge
journal, February 2010

Phonon-drag effect anisotropy parameter of the thermoelectric power in n-Ge
journal, December 1968

Effect of Isotopes on Low-Temperature Thermal Conductivity
journal, February 1957

Normal processes of phonon-phonon scattering and the drag thermopower in germanium crystals with isotopic disorder
journal, June 2003

Seebeck Effect in Silicon
journal, May 1955

Influence of the doping element on the electron mobility in n-silicon
journal, March 1998

Theory of the Thermoelectric Power of Semiconductors
journal, December 1954

Lattice-Scattering Mobility in Germanium
journal, January 1954

Isotope effect on the phonon-drag component of the thermoelectric power of germanium
journal, October 2003

Phonon-drag effects on thermoelectric power
journal, August 1996

Comment on “Influence of the doping element on the electron mobility in n silicon” [J. Appl. Phys. 83 , 3096 (1998)]
journal, June 1999

Thermoelectric Power of Germanium below Room Temperature
journal, October 1953

PHONON DRAG AND CARRIER DIFFUSION CONTRIBUTIONS IN THERMOELECTRIC POWER OF K ₃ C ₆₀ FULLERIDES
journal, September 2012

Phonon drag in disordered films and structures
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Transport properties of silicon
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Fundamental relationship between the Herring and Cantrell-Butcher formulas for the phonon-drag thermopower of two-dimensional electron and hole gases
journal, October 2001

Electron Mobility in Ge, Si, and GaP
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Phonon-drag effects on thermoelectric power
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Enhancing the Seebeck effect in Ge/Si through the combination of interfacial design features
journal, November 2019

Introduction to thermoelectrics
journal, October 2016

Ab initio optimization of phonon drag effect for lower-temperature thermoelectric energy conversion
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First-principles calculations of thermal, electrical, and thermoelectric transport properties of semiconductors
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