Large, nonsaturating thermopower in a quantizing magnetic field

Skinner, Brian; Fu, Liang

doi:10.1126/sciadv.aat2621

Title: Large, nonsaturating thermopower in a quantizing magnetic field

Abstract

The thermoelectric effect is the generation of an electrical voltage from a temperature gradient in a solid material due to the diffusion of free charge carriers from hot to cold. Identifying materials with a large thermoelectric response is crucial for the development of novel electric generators and coolers. We theoretically consider the thermopower of Dirac/Weyl semimetals subjected to a quantizing magnetic field. We contrast their thermoelectric properties with those of traditional heavily doped semiconductors and show that, under a sufficiently large magnetic field, the thermopower of Dirac/Weyl semimetals grows linearly with the field without saturation and can reach extremely high values. Our results suggest an immediate pathway for achieving record-high thermopower and thermoelectric figure of merit, and they compare well with a recent experiment on Pb_1–xSn_xSe.

Authors:

^[1]; Fu, Liang ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Publication Date:: Fri May 25 00:00:00 EDT 2018

Research Org.:: Energy Frontier Research Centers (EFRC) (United States). Center for Excitonics (CE). Solid-State Solar-Thermal Energy Conversion Center (S3TEC); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

OSTI Identifier:: 1499936

Grant/Contract Number:: SC0001299; SC0001088; SC0010526; FG02-09ER46577

Resource Type:: Accepted Manuscript

Journal Name:: Science Advances

Additional Journal Information:: Journal Volume: 4; Journal Issue: 5; Journal ID: ISSN 2375-2548

Publisher:: AAAS

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats


                    Skinner, Brian, and Fu, Liang. Large, nonsaturating thermopower in a quantizing magnetic field.  United States: N. p., 2018. 
Web.  doi:10.1126/sciadv.aat2621.

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                    Skinner, Brian, & Fu, Liang. Large, nonsaturating thermopower in a quantizing magnetic field.  United States.  https://doi.org/10.1126/sciadv.aat2621

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                    Skinner, Brian, and Fu, Liang. Fri .  
"Large, nonsaturating thermopower in a quantizing magnetic field".  United States.  https://doi.org/10.1126/sciadv.aat2621.  https://www.osti.gov/servlets/purl/1499936.

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@article{osti_1499936,

  title        = {Large, nonsaturating thermopower in a quantizing magnetic field},

  author       = {Skinner, Brian and Fu, Liang},

  abstractNote = {The thermoelectric effect is the generation of an electrical voltage from a temperature gradient in a solid material due to the diffusion of free charge carriers from hot to cold. Identifying materials with a large thermoelectric response is crucial for the development of novel electric generators and coolers. We theoretically consider the thermopower of Dirac/Weyl semimetals subjected to a quantizing magnetic field. We contrast their thermoelectric properties with those of traditional heavily doped semiconductors and show that, under a sufficiently large magnetic field, the thermopower of Dirac/Weyl semimetals grows linearly with the field without saturation and can reach extremely high values. Our results suggest an immediate pathway for achieving record-high thermopower and thermoelectric figure of merit, and they compare well with a recent experiment on Pb1–xSnxSe.},

  doi          = {10.1126/sciadv.aat2621},

  journal      = {Science Advances},

  number       = 5,

  volume       = 4,

  place        = {United States},

  year         = {Fri May 25 00:00:00 EDT 2018},

  month        = {Fri May 25 00:00:00 EDT 2018}

}

Copy to clipboard

Journal Article:

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https://doi.org/10.1126/sciadv.aat2621

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Figures / Tables:

Fig. 1.: Schematic depiction of the E × B drift of carriers in a strong magnetic field. Electrons (labeled e⁻) and holes (labeled h⁺) drift in the same direction under the influence of crossed electric and magnetic fields. Both signs of carrier contribute additively to the heat current in themore »

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Works referencing / citing this record:

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Title: Large, nonsaturating thermopower in a quantizing magnetic field

Abstract

Citation Formats

Figures / Tables:

Thermoelectric power in high magnetic fields journal, April 1979

Transport Properties of a Many-Valley Semiconductor journal, March 1955

Intrinsic localized mode and low thermal conductivity of PbSe journal, January 2017

Theory of Dissipationless Nernst Effects journal, February 2010

Thermoelectric power of semiconductors in the extreme quantum limit—I journal, January 1974

Principles of the Theory of Solids book, January 1972

Chiral anomaly and ultrahigh mobility in crystalline HfT e 5 journal, April 2016

Coulomb disorder in three-dimensional Dirac systems journal, August 2014

Nature of the thermopower in bipolar semiconductors journal, March 1995

Zeeman splitting and dynamical mass generation in Dirac semimetal ZrTe5 journal, August 2016

Spatially inhomogeneous electron state deep in the extreme quantum limit of strontium titanate journal, September 2016

Evidence for massive bulk Dirac fermions in Pb1−xSnxSe from Nernst and thermopower experiments journal, November 2013

New Directions for Low-Dimensional Thermoelectric Materials journal, April 2007

Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal candidate NbP journal, June 2015

Inversion of Conduction and Valence Bands in Pb 1 − x Sn x Se Alloys journal, May 1967

Metal-insulator transitions induced by a magnetic field journal, February 1979

Topological crystalline insulator states in Pb1−xSnxSe journal, September 2012

Magnetic-field-induced localization in narrow-gap semiconductors Hg 1 − x Cd x Te and InSb journal, September 1988

Influence of band inversion upon the electrical properties of PbxSn1−xSe in the low carrier concentration range journal, December 1969

Anomalously small resistivity and thermopower of strongly compensated semiconductors and topological insulators journal, April 2013

Vanishing Hall Coefficient in the Extreme Quantum Limit in Photocarrier-Doped SrTiO 3 journal, August 2008

Chiral magnetic effect in ZrTe5 journal, February 2016

Recent Developments in Semiconductor Thermoelectric Physics and Materials journal, August 2011

Figure of merit for thermoelectrics journal, February 1989

XCIV. Scattering of electrons and holes by charged donors and acceptors in semiconductors journal, August 1955

Thermoelectric power of semiconductors in the extreme quantum limit. II. The "phonon-drag" contribution journal, August 1975

Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd3As2 journal, November 2014

Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2 journal, June 2014

New Directions for Low-Dimensional Thermoelectric Materials journal, June 2007

Principles of the theory of solids journal, July 1965

Vanishing Hall Coefficient in the Extreme Quantum Limit in Photocarrier-Doped SrTiO3 text, January 2008

Topological crystalline insulator states in Pb(1-x)Sn(x)Se text, January 2012

Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd$_3$As$_2$ text, January 2014

Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP text, January 2015

Transport Properties of a Many-Valley Semiconductor journal, March 1955

Metal-insulator transitions induced by a magnetic field journal, February 1979

Thermoelectric power in high magnetic fields journal, April 1979

XCIV. Scattering of electrons and holes by charged donors and acceptors in semiconductors journal, August 1955

Magnetic-Field-Induced Localization Transition in HgCdTe journal, January 1985

Recent Developments in Semiconductor Thermoelectric Physics and Materials journal, August 2011

Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd$_3$As$_2$ text, January 2014

The Nature of Thermopower in Bipolar Semiconductors text, January 1995

Magnetic Field‐Enhanced Thermoelectric Performance in Dirac Semimetal Cd 3 As 2 Crystals with Different Carrier Concentrations journal, July 2019

Large transverse thermoelectric figure of merit in a topological Dirac semimetal journal, November 2019

Thermoelectrics with a twist journal, November 2019

Magnetism-induced huge enhancement of the room-temperature thermoelectric and cooling performance of p-type BiSbTe alloys journal, January 2020

Impurity states in Mo 1−x M x Se 2 compounds doped with group VB elements and their electronic and thermal transport properties journal, January 2020

Thermoelectric transport in torsional strained Weyl semimetals journal, February 2019

Optimal band gap for improved thermoelectric performance of two-dimensional Dirac materials journal, July 2019

Effect of charge renormalization on the electric and thermoelectric transport along the vortex lattice of a Weyl superconductor journal, July 2019

Thermoelectric transport coefficients of a Dirac electron gas in high magnetic fields journal, October 2019

Thermopower in an anisotropic two-dimensional Weyl semimetal journal, January 2020

Thermopower in an anisotropic two-dimensional Weyl semimetal text, January 2018

Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials text, January 2019

Effect of charge renormalization on electric and thermo-electric transport along the vortex lattice of a Weyl superconductor text, January 2019

Thermoelectric transport coefficients of a Dirac electron gas in high magnetic fields text, January 2019

Thermoelectric power in high magnetic fields
journal, April 1979

Transport Properties of a Many-Valley Semiconductor
journal, March 1955

Intrinsic localized mode and low thermal conductivity of PbSe
journal, January 2017

Theory of Dissipationless Nernst Effects
journal, February 2010

Thermoelectric power of semiconductors in the extreme quantum limit—I
journal, January 1974

Principles of the Theory of Solids
book, January 1972

Chiral anomaly and ultrahigh mobility in crystalline $HfT e_{5}$
journal, April 2016

Coulomb disorder in three-dimensional Dirac systems
journal, August 2014

Nature of the thermopower in bipolar semiconductors
journal, March 1995

Zeeman splitting and dynamical mass generation in Dirac semimetal ZrTe5
journal, August 2016

Spatially inhomogeneous electron state deep in the extreme quantum limit of strontium titanate
journal, September 2016

Evidence for massive bulk Dirac fermions in Pb1−xSnxSe from Nernst and thermopower experiments
journal, November 2013

New Directions for Low-Dimensional Thermoelectric Materials
journal, April 2007

Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal candidate NbP
journal, June 2015

Inversion of Conduction and Valence Bands in ${Pb}_{1 - x} {Sn}_{x} Se$ Alloys
journal, May 1967

Metal-insulator transitions induced by a magnetic field
journal, February 1979

Topological crystalline insulator states in Pb1−xSnxSe
journal, September 2012

Magnetic-field-induced localization in narrow-gap semiconductors ${Hg}_{1 - x}$ ${Cd}_{x}$ Te and InSb
journal, September 1988

Influence of band inversion upon the electrical properties of PbxSn1−xSe in the low carrier concentration range
journal, December 1969

Anomalously small resistivity and thermopower of strongly compensated semiconductors and topological insulators
journal, April 2013

Vanishing Hall Coefficient in the Extreme Quantum Limit in Photocarrier-Doped ${SrTiO}_{3}$
journal, August 2008

Chiral magnetic effect in ZrTe5
journal, February 2016

Recent Developments in Semiconductor Thermoelectric Physics and Materials
journal, August 2011

Figure of merit for thermoelectrics
journal, February 1989

XCIV. Scattering of electrons and holes by charged donors and acceptors in semiconductors
journal, August 1955

Thermoelectric power of semiconductors in the extreme quantum limit. II. The "phonon-drag" contribution
journal, August 1975

Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd3As2
journal, November 2014

Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2
journal, June 2014

New Directions for Low-Dimensional Thermoelectric Materials
journal, June 2007

Principles of the theory of solids
journal, July 1965

Vanishing Hall Coefficient in the Extreme Quantum Limit in Photocarrier-Doped SrTiO3
text, January 2008

Topological crystalline insulator states in Pb(1-x)Sn(x)Se
text, January 2012

Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd$_3$As$_2$
text, January 2014

Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP
text, January 2015

Transport Properties of a Many-Valley Semiconductor
journal, March 1955

Metal-insulator transitions induced by a magnetic field
journal, February 1979

Thermoelectric power in high magnetic fields
journal, April 1979

XCIV. Scattering of electrons and holes by charged donors and acceptors in semiconductors
journal, August 1955

Magnetic-Field-Induced Localization Transition in HgCdTe
journal, January 1985

Recent Developments in Semiconductor Thermoelectric Physics and Materials
journal, August 2011

Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd$_3$As$_2$
text, January 2014

The Nature of Thermopower in Bipolar Semiconductors
text, January 1995

Magnetic Field‐Enhanced Thermoelectric Performance in Dirac Semimetal Cd ₃ As ₂ Crystals with Different Carrier Concentrations
journal, July 2019

Large transverse thermoelectric figure of merit in a topological Dirac semimetal
journal, November 2019

Thermoelectrics with a twist
journal, November 2019

Magnetism-induced huge enhancement of the room-temperature thermoelectric and cooling performance of p-type BiSbTe alloys
journal, January 2020

Impurity states in Mo _1−x M _x Se ₂ compounds doped with group VB elements and their electronic and thermal transport properties
journal, January 2020

Thermoelectric transport in torsional strained Weyl semimetals
journal, February 2019

Optimal band gap for improved thermoelectric performance of two-dimensional Dirac materials
journal, July 2019

Effect of charge renormalization on the electric and thermoelectric transport along the vortex lattice of a Weyl superconductor
journal, July 2019

Thermoelectric transport coefficients of a Dirac electron gas in high magnetic fields
journal, October 2019

Thermopower in an anisotropic two-dimensional Weyl semimetal
journal, January 2020

Thermopower in an anisotropic two-dimensional Weyl semimetal
text, January 2018

Thermoelectric Hall conductivity and figure of merit in Dirac/Weyl materials
text, January 2019

Effect of charge renormalization on electric and thermo-electric transport along the vortex lattice of a Weyl superconductor
text, January 2019

Thermoelectric transport coefficients of a Dirac electron gas in high magnetic fields
text, January 2019