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Hinsche NF, Mertig I, Zahn P. Thermoelectric transport in strained Si and Si/Ge heterostructures. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2012; 24:275501. [PMID: 22713229 DOI: 10.1088/0953-8984/24/27/275501] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
The anisotropic thermoelectric transport properties of bulk silicon strained in the [111]-direction were studied by detailed first-principles calculations focusing on a possible enhancement of the power factor. Electron and hole doping were examined in a broad doping and temperature range. At low temperature and low doping an enhancement of the power factor was obtained for compressive and tensile strain in the electron-doped case and for compressive strain in the hole-doped case. For the thermoelectrically more important high-temperature and high-doping regime a slight enhancement of the power factor was only found under small compressive strain with the power factor overall being robust against applied strain. To extend our findings the anisotropic thermoelectric transport of a [111]-oriented Si/Ge superlattice was investigated. Here, the cross-plane power factor under hole doping was drastically suppressed due to quantum-well effects, while under electron doping an enhanced power factor was found. For this, we state figures of merit of ZT = 0.2 and 1.4 at T = 300 and 900 K for the electron-doped [111]-oriented Si/Ge superlattice. All results are discussed in terms of band structure features.
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Affiliation(s)
- N F Hinsche
- Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle, Germany.
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Garg J, Bonini N, Marzari N. High thermal conductivity in short-period superlattices. NANO LETTERS 2011; 11:5135-5141. [PMID: 22035188 DOI: 10.1021/nl202186y] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
The thermal conductivity of ideal short-period superlattices is computed using harmonic and anharmonic force constants derived from density-functional perturbation theory and by solving the Boltzmann transport equation in the single-mode relaxation time approximation, using silicon-germanium as a paradigmatic case. We show that in the limit of small superlattice period the computed thermal conductivity of the superlattice can exceed that of both the constituent materials. This is found to be due to a dramatic reduction in the scattering of acoustic phonons by optical phonons, leading to very long phonon lifetimes. By variation of the mass mismatch between the constituent materials in the superlattice, it is found that this enhancement in thermal conductivity can be engineered, providing avenues to achieve high thermal conductivities in nanostructured materials.
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Affiliation(s)
- Jivtesh Garg
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, United States.
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Olajos J, Engvall J, Grimmeiss HG, Gail M, Abstreiter G, Presting H, Kibbel H. Confinement effects and polarization dependence of luminescence from monolayer-thick Ge quantum wells. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:1922-1927. [PMID: 9986040 DOI: 10.1103/physrevb.54.1922] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Theodorou G, Tserbak C. Interface intermixing influence on the electronic and optical properties of Si/Ge strained-layer superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:4723-4726. [PMID: 9979336 DOI: 10.1103/physrevb.51.4723] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Schorer R, Abstreiter G, Kibbel H, Presting H. Resonant-Raman-scattering study on short-period Si/Ge superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:18211-18218. [PMID: 9976255 DOI: 10.1103/physrevb.50.18211] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Adderley BM, Turton RJ, Jaros M. Absorption spectra of perfect and imperfect Si/Ge superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:16622-16631. [PMID: 10010821 DOI: 10.1103/physrevb.49.16622] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Polatoglou HM, Theodorou G, Tserbak C. Optical absorption of pseudomorphic Si/Ge superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:8132-8135. [PMID: 10009578 DOI: 10.1103/physrevb.49.8132] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Rodrigues PA, Cerdeira F, Bean JC. Confinement and zone folding in the E1-like optical transitions of Ge/Si quantum wells and superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:18024-18030. [PMID: 10008440 DOI: 10.1103/physrevb.48.18024] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Kelires PC, Tserbak C, Theodorou G. Structure, stability, and electronic properties of pseudomorphic (Si)n/(Ge)m superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:14238-14241. [PMID: 10007839 DOI: 10.1103/physrevb.48.14238] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ikeda M, Terakura K, Oguchi T. Theoretical study on the electronic structure of (Si)m/(Ge)n superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:1571-1582. [PMID: 10008517 DOI: 10.1103/physrevb.48.1571] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Pearsall TP. Comment on "Piezoreflectance study of short-period strained Si-Ge superlattices grown on (001) Ge". PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:2795-2798. [PMID: 10008684 DOI: 10.1103/physrevb.48.2795] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Tserbak C, Polatoglou HM, Theodorou G. Unified approach to the electronic structure of strained Si/Ge superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:7104-7124. [PMID: 10004706 DOI: 10.1103/physrevb.47.7104] [Citation(s) in RCA: 60] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Rodrigues PA, Cerdeira F, Bean JC. Photoreflectance in Ge/Ge0.7Si0.3 strained-layer superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:15263-15269. [PMID: 10003641 DOI: 10.1103/physrevb.46.15263] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Schmid U, Humlíek J, Luke F, Cardona M, Presting H, Kibbel H, Kasper E, Eberl K, Wegscheider W, Abstreiter G. Optical transitions in strained Ge/Si superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:6793-6801. [PMID: 10000442 DOI: 10.1103/physrevb.45.6793] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ikeda M, Terakura K, Oguchi T. Alternating change of allowed and forbidden optical transitions in (Si)2m/(Ge)10-2m superlattices with (001) stacking. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:1496-1499. [PMID: 10001641 DOI: 10.1103/physrevb.45.1496] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Olajos J, Vogl P, Wegscheider W, Abstreiter G. Infrared optical properties and band structure of alpha -Sn/Ge superlattices on Ge substrates. PHYSICAL REVIEW LETTERS 1991; 67:3164-3167. [PMID: 10044657 DOI: 10.1103/physrevlett.67.3164] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Tserbak C, Polatoglou HM, Theodorou G. Ge-like and Si-like features in the dielectric function of strained Si/Ge superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:3467-3470. [PMID: 9999970 DOI: 10.1103/physrevb.44.3467] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Bernard JE, Zunger A. Strain energy and stability of Si-Ge compounds, alloys, and superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:1663-1681. [PMID: 9999700 DOI: 10.1103/physrevb.44.1663] [Citation(s) in RCA: 30] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Schmid U, Christensen NE, Alouani M, Cardona M. Electronic and optical properties of strained Ge/Si superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:14597-14614. [PMID: 9997352 DOI: 10.1103/physrevb.43.14597] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ghahramani E, Moss DJ, Sipe JE. Full-band-structure calculation of second-harmonic generation in odd-period strained (Si)n/(Ge)n superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:8990-9002. [PMID: 9996567 DOI: 10.1103/physrevb.43.8990] [Citation(s) in RCA: 50] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Schmid U, Christensen NE, Cardona M. Direct transition energies in strained ten-monolayer Ge/Si superlattices. PHYSICAL REVIEW LETTERS 1990; 65:2610. [PMID: 10042644 DOI: 10.1103/physrevlett.65.2610] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Schmid U, Luke F, Christensen NE, Alouani M, Cardona M, Kasper E, Kibbel H, Presting H. Interband transitions in strain-symmetrized Ge4Si6 superlattices. PHYSICAL REVIEW LETTERS 1990; 65:1933-1936. [PMID: 10042401 DOI: 10.1103/physrevlett.65.1933] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Chambers SA, Loebs VA. Elastic strain at pseudomorphic semiconductor heterojunctions studied by x-ray photoelectron diffraction: Ge/Si(001) and Si/Ge(001). PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:5109-5116. [PMID: 9996071 DOI: 10.1103/physrevb.42.5109] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Schmid U, Christensen NE, Cardona M. Relativistic band structure of Si, Ge, and GeSi: Inversion-asymmetry effects. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:5919-5930. [PMID: 9994476 DOI: 10.1103/physrevb.41.5919] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ghahramani E, Moss DJ, Sipe JE. Linear optical properties of strained (Si)n/(Ge)n superlattices on (001) Si substrates. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:5112-5125. [PMID: 9994369 DOI: 10.1103/physrevb.41.5112] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Zachai R, Eberl K, Abstreiter G, Kasper E, Kibbel H. Photoluminescence in short-period Si/Ge strained-layer superlattices. PHYSICAL REVIEW LETTERS 1990; 64:1055-1058. [PMID: 10042151 DOI: 10.1103/physrevlett.64.1055] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Pearsall TP, Vandenberg JM, Hull R, Bonar JM. Structure and optical properties of strained Ge-Si superlattices grown on (001) Ge. PHYSICAL REVIEW LETTERS 1989; 63:2104-2107. [PMID: 10040763 DOI: 10.1103/physrevlett.63.2104] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Müller E, Nissen H, Ospelt M. Chemical ordering and boundary structure in strained-layer Si-Ge superlattices. PHYSICAL REVIEW LETTERS 1989; 63:1819-1822. [PMID: 10040681 DOI: 10.1103/physrevlett.63.1819] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Cerdeira F, Alonso MI, Niles D, Garriga M, Cardona M, Kasper E, Kibbel H. Resonant Raman scattering in short-period (Si)n/(Ge)m superlattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:1361-1364. [PMID: 9991976 DOI: 10.1103/physrevb.40.1361] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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