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Electron-Acoustic Phonon Interaction in Graphene

Year 2014, Volume: 35 Issue: 1, 21 - 30, 19.03.2014

Aybey Moğulkoc

Abstract

Özet. Bu çalışmada, elektronların akustik fononlar ile etkileşmesinden kaynaklanan kiral polaron oluşumu incelenmiştir. Elektron-fonon sistemlerinin taban durumunu hesaplayabilmek için Lee-Low-Pines teorisi çerçevesinde analitik bir metot geliştirilmiştir. Grafenin dejenere band yapısının kiral polaron oluşumunu desteklediği tespit edilmiştir


Abstract. In this study, chiral polaron formation due to interactions of the electrons with acoustic phonon was investigated. In order to calculate fround states of the electron-phonon systems, an analytical method was developed within the frame of Lee-Low-Pines theory. It was identiffcated that degenerate band structure supports the chiral polaron formation.

Keywords

Graphene electron acoustic phonon chiral polaron.

References

  • Novoselov, K.S., Geim, A.K., Morozov, S.V., Jiang, D., Zhang, Y., Dubonos, S.V., Grigorieva, I.V. and Firsov, A.A., 2004. Electric Field Effect in Atomically Thin Carbon Films, Science, 306, 666.
  • Novoselov, K.S., Jiang, D., Schedin, F., Booth, T.J. , Khotkevich, V.V., Morozov, SV. , and Geim, A.K., 2005. Two-dimensional atomic crystals, Proc. Nat. Acad. Sci. USA, 102, 10451.
  • Lazzeri, M., Piscanec, S., Mauri, F., Ferrari, A.C., and Robertson, J., 2005. Electron Transport and Hot Phonons in Carbon Nanotubes, Physical Review Letters, 95, 236802.
  • Lazzeri, M., Attaccalite, C.,Wirtz, L., and Mauri, F., 2008. Impact of the electron-electron correlation on phonon dispersion: Failure of LDA and GGA DFT functionals in graphene andgraphite, Physica lReview B ,78 081406, (R).
  • Lazzeri, M., Piscanec, S., Mauri, F., Ferrari, A.C., and Robertson, J., 2006. Phonon line widths and electron-phonon coupling in graphite and nanotubes, Physical Review B, 73, 1554
  • Pisana, S., Lazzeri, M., Casiragh, I.C., Novoselov, K.S. , Geim, A.K. , Ferrari, A.C. and Mauri, F., 2007. Breakdown of the adiabatic Born-Oppenheimer approximation in graphene, Nature Materials, 3, 198.
  • Park, C-H., Giustino, F.,Cohen, Marvin, L., and Louie, S.G., 2007. Velocity Renormalization and Carrier Lifetime in Graphene from the Electron-Phonon Interaction, Physical Review Letters, 99, 086804.
  • Yan, J., Zhang, Y. ,Kim, P., and Pinczuk, A., 2007. Electric Field Effect Tuning of ElectronPhonon Coupling in Graphene, Physcial Review Letters, 98, 166802.
  • Calandra, M. and Mauri, F., 2007. Electron-phonon coupling and electron self-energy in electron-doped graphene: Calculation of angular-resolved photoemission spectra, Physical Review B, 76, 205411.
  • Basko, D.M., 2007a. Theory of resonant multiphonon Raman scattering in graphene, Physical Review B, 78, 125418.
  • Basko, D. M., 2007b. Effect of inelastic collisions on multiphonon Raman scattering in graphene, Physical Reviev B, 76, 081405, (R).
  • Goerbig, M.O., Fuchs J.-N., Kechedzhi K. and Fal'ko V.I., 2007. Filling-Factor-Dependent Magneto phonon Resonance in Graphene, Phyical Review Letters, 99, 087402.
  • Samsonidze, G.G. , Barros E.B. , Saito, R. , Jiang, J. ,Dresselhaus, G.,and Dresselhaus, M. S., 2007. Electron-phonon coupling mechanism in two-dimensional graphite and single-wall carbon nanotubes, Physical Review B, 75, 155420.
  • Stauber, T., and Peres, N.M.R., 2008. Effect of Holstein phonons on the electronic properties of graphene, Journal of Physics.:CondensedMatter, 20, 055002.
  • Stauber, T.,Peres, N.M.R., and Castro Neto, A.H. 2008. Conductivity of suspendedandnon-suspended graphene at finitegatevoltage. PhysicalReview B 78, (085418).
  • Basko, D.M. and Aleiner, I.L., 2008. Interplay of Coulomb and electron-phonon interactions in graphene, Physical Review B, 77, 041409, (R).
  • Mariani, E. and Oppen, Felixvon., 2010. Temperature-dependent resistivity of suspended graphene, Physical Review B, 82, 195403.
  • Mariani, E. and Oppen, Felixvon., 2008. Flexural Phonons in Free-Standing Graphene, Physical Review Letters, 100, 076801.
  • Faugeras, C., Amado, M., Kossacki, P., Orlita, M. , Sprinkle, M., Berger, C., de Heer W.A., and Potemski, M., 2009. Tuning the Electron-Phonon Coupling in Multilayer Graphene with Magnetic Fields, Physical Review Letters, 103, 186803.
  • Stojanović, V.M., Vukmirović, N., Bruder, C., 2010. Polaronic signatures and spectral properties of graphene antidot lattices, Phyical Review B, 82, 165410.
  • Carbotte, J.P., Nicol, E.J. and Sharapov S.G., 2010. Effect of electron-phononinteraction on spectroscopies in graphene, Physical Review B, 81, 04541.
  • Hwang, E.H. ,Sensarma, R. and Das Sarma S., 2010. Plasmon-phonon coupling in graphene, Physical Review B, 82, 195406.
  • Li, W-P.,Wang, Z-W. ,Yin, J-W. and Yu, Y-F.J., 2012. The effects of the magneto polaron on the energy gap opening in graphene, Journal of Physics.:CondensedMatter, 24, 135301.
  • Araujo, P.T., Mafra, D.L., Sato, K., Saito, R. ,Kong, J. and Dresselhaus, M. S., 2012. Phonon self-energy corrections to non-zero wave vector phonon modes in single-layer graphene, Physical Review Letters, 109, 046801.
  • Badalyan, S.M. and Peeters, F.M., 2012. Electron-phonon bound state in graphene, Physical Review B, 85, 205453.
  • Kandemir, B.S. and Mogulkoc, A., 2012. Zone Boundary Phonon Induced Mini Band Gap Formation in Graphene, arXiv:1211.3528.
  • Krastajić, P.M. and Peeters, F.M., 2012. Energy-momentum dispersion relation of plasmarons in graphene, Physical Review B, 85, 205454.
  • Zhu, J., Badalyan, S.M. and Peeters, F.M., 2012. Electron-Phonon Bound States in Graphene in a Perpendicular Magnetic Field, Physical Review Letters 109, 256602.
  • Kandemir, B.S., 2013. Chiral Polaron Formation in Graphene. Journal of Physics.:Condensed Matter 25, 025302.
  • Dubay, O. and Kresse, G., 2003. Accurate density functional calculations for the phonon dispersion relations of graphite layer and carbon nanotubes, Physical Review B, 67, 035401.
  • Rana, F., George P.,A., Strait J.,H., Jahan,D., Shriram, S., Chandrashekhar, Mvs. and Spencer, M.G. 2009. Carrier recombination and generation rates for intravalley and intervalley phonon scattering in graphene, Physical Review B, 79, 115447.
  • Suzuura, H. and Ando, T., 2002. Phonons and electron-phonon scattering in carbon nanotubes, Physical Review B, 65, 235412.
  • Harrison, W.A., 1980. Electronic Structure and the Properties of Solids. W.H. Freeman and Company, 586 p. San Francisco.
  • Lee, T.D., Low, F.E. and Pines, D., 1953. The Motion of Slow Electrons in a Polar Crystal, Physical Review 90, 297.
  • Kandemir, B.S. and Altanhan, T., 2008. Analytical approach to phonons and electronphonon interactions in single-walled arm chair carbon nanotubes, Physical Review B, 77, 0454
  • Griffiths, D., 1987. Introduction to Elementary Particles, Wiley. 249 p. Singapore.

Grafende Elektron-Akustik Fonon Etkileşmesi

Year 2014, Volume: 35 Issue: 1, 21 - 30, 19.03.2014

Aybey Moğulkoc

Abstract

Özet. Bu çalışmada, elektronların akustik fononlar ile etkileşmesinden kaynaklanan kiral polaron oluşumu incelenmiştir. Elektron-fonon sistemlerinin taban durumunu hesaplayabilmek için Lee-Low-Pines teorisi çerçevesinde analitik bir metot geliştirilmiştir. Grafenin dejenere band yapısının kiral polaron oluşumunu desteklediği tespit edilmiştir.

 

Abstract. In this study, chiral polaron formation due to interactions of the electrons with acoustic phonon was investigated. In order to calculate fround states of the electron-phonon systems, an analytical method was developed within the frame of Lee-Low-Pines theory. It was identiffcated that degenerate band structure supports the chiral polaron formation.

Keywords

Grafen elektron akustik fonon akustik kiral polaron.

References

  • Novoselov, K.S., Geim, A.K., Morozov, S.V., Jiang, D., Zhang, Y., Dubonos, S.V., Grigorieva, I.V. and Firsov, A.A., 2004. Electric Field Effect in Atomically Thin Carbon Films, Science, 306, 666.
  • Novoselov, K.S., Jiang, D., Schedin, F., Booth, T.J. , Khotkevich, V.V., Morozov, SV. , and Geim, A.K., 2005. Two-dimensional atomic crystals, Proc. Nat. Acad. Sci. USA, 102, 10451.
  • Lazzeri, M., Piscanec, S., Mauri, F., Ferrari, A.C., and Robertson, J., 2005. Electron Transport and Hot Phonons in Carbon Nanotubes, Physical Review Letters, 95, 236802.
  • Lazzeri, M., Attaccalite, C.,Wirtz, L., and Mauri, F., 2008. Impact of the electron-electron correlation on phonon dispersion: Failure of LDA and GGA DFT functionals in graphene andgraphite, Physica lReview B ,78 081406, (R).
  • Lazzeri, M., Piscanec, S., Mauri, F., Ferrari, A.C., and Robertson, J., 2006. Phonon line widths and electron-phonon coupling in graphite and nanotubes, Physical Review B, 73, 1554
  • Pisana, S., Lazzeri, M., Casiragh, I.C., Novoselov, K.S. , Geim, A.K. , Ferrari, A.C. and Mauri, F., 2007. Breakdown of the adiabatic Born-Oppenheimer approximation in graphene, Nature Materials, 3, 198.
  • Park, C-H., Giustino, F.,Cohen, Marvin, L., and Louie, S.G., 2007. Velocity Renormalization and Carrier Lifetime in Graphene from the Electron-Phonon Interaction, Physical Review Letters, 99, 086804.
  • Yan, J., Zhang, Y. ,Kim, P., and Pinczuk, A., 2007. Electric Field Effect Tuning of ElectronPhonon Coupling in Graphene, Physcial Review Letters, 98, 166802.
  • Calandra, M. and Mauri, F., 2007. Electron-phonon coupling and electron self-energy in electron-doped graphene: Calculation of angular-resolved photoemission spectra, Physical Review B, 76, 205411.
  • Basko, D.M., 2007a. Theory of resonant multiphonon Raman scattering in graphene, Physical Review B, 78, 125418.
  • Basko, D. M., 2007b. Effect of inelastic collisions on multiphonon Raman scattering in graphene, Physical Reviev B, 76, 081405, (R).
  • Goerbig, M.O., Fuchs J.-N., Kechedzhi K. and Fal'ko V.I., 2007. Filling-Factor-Dependent Magneto phonon Resonance in Graphene, Phyical Review Letters, 99, 087402.
  • Samsonidze, G.G. , Barros E.B. , Saito, R. , Jiang, J. ,Dresselhaus, G.,and Dresselhaus, M. S., 2007. Electron-phonon coupling mechanism in two-dimensional graphite and single-wall carbon nanotubes, Physical Review B, 75, 155420.
  • Stauber, T., and Peres, N.M.R., 2008. Effect of Holstein phonons on the electronic properties of graphene, Journal of Physics.:CondensedMatter, 20, 055002.
  • Stauber, T.,Peres, N.M.R., and Castro Neto, A.H. 2008. Conductivity of suspendedandnon-suspended graphene at finitegatevoltage. PhysicalReview B 78, (085418).
  • Basko, D.M. and Aleiner, I.L., 2008. Interplay of Coulomb and electron-phonon interactions in graphene, Physical Review B, 77, 041409, (R).
  • Mariani, E. and Oppen, Felixvon., 2010. Temperature-dependent resistivity of suspended graphene, Physical Review B, 82, 195403.
  • Mariani, E. and Oppen, Felixvon., 2008. Flexural Phonons in Free-Standing Graphene, Physical Review Letters, 100, 076801.
  • Faugeras, C., Amado, M., Kossacki, P., Orlita, M. , Sprinkle, M., Berger, C., de Heer W.A., and Potemski, M., 2009. Tuning the Electron-Phonon Coupling in Multilayer Graphene with Magnetic Fields, Physical Review Letters, 103, 186803.
  • Stojanović, V.M., Vukmirović, N., Bruder, C., 2010. Polaronic signatures and spectral properties of graphene antidot lattices, Phyical Review B, 82, 165410.
  • Carbotte, J.P., Nicol, E.J. and Sharapov S.G., 2010. Effect of electron-phononinteraction on spectroscopies in graphene, Physical Review B, 81, 04541.
  • Hwang, E.H. ,Sensarma, R. and Das Sarma S., 2010. Plasmon-phonon coupling in graphene, Physical Review B, 82, 195406.
  • Li, W-P.,Wang, Z-W. ,Yin, J-W. and Yu, Y-F.J., 2012. The effects of the magneto polaron on the energy gap opening in graphene, Journal of Physics.:CondensedMatter, 24, 135301.
  • Araujo, P.T., Mafra, D.L., Sato, K., Saito, R. ,Kong, J. and Dresselhaus, M. S., 2012. Phonon self-energy corrections to non-zero wave vector phonon modes in single-layer graphene, Physical Review Letters, 109, 046801.
  • Badalyan, S.M. and Peeters, F.M., 2012. Electron-phonon bound state in graphene, Physical Review B, 85, 205453.
  • Kandemir, B.S. and Mogulkoc, A., 2012. Zone Boundary Phonon Induced Mini Band Gap Formation in Graphene, arXiv:1211.3528.
  • Krastajić, P.M. and Peeters, F.M., 2012. Energy-momentum dispersion relation of plasmarons in graphene, Physical Review B, 85, 205454.
  • Zhu, J., Badalyan, S.M. and Peeters, F.M., 2012. Electron-Phonon Bound States in Graphene in a Perpendicular Magnetic Field, Physical Review Letters 109, 256602.
  • Kandemir, B.S., 2013. Chiral Polaron Formation in Graphene. Journal of Physics.:Condensed Matter 25, 025302.
  • Dubay, O. and Kresse, G., 2003. Accurate density functional calculations for the phonon dispersion relations of graphite layer and carbon nanotubes, Physical Review B, 67, 035401.
  • Rana, F., George P.,A., Strait J.,H., Jahan,D., Shriram, S., Chandrashekhar, Mvs. and Spencer, M.G. 2009. Carrier recombination and generation rates for intravalley and intervalley phonon scattering in graphene, Physical Review B, 79, 115447.
  • Suzuura, H. and Ando, T., 2002. Phonons and electron-phonon scattering in carbon nanotubes, Physical Review B, 65, 235412.
  • Harrison, W.A., 1980. Electronic Structure and the Properties of Solids. W.H. Freeman and Company, 586 p. San Francisco.
  • Lee, T.D., Low, F.E. and Pines, D., 1953. The Motion of Slow Electrons in a Polar Crystal, Physical Review 90, 297.
  • Kandemir, B.S. and Altanhan, T., 2008. Analytical approach to phonons and electronphonon interactions in single-walled arm chair carbon nanotubes, Physical Review B, 77, 0454
  • Griffiths, D., 1987. Introduction to Elementary Particles, Wiley. 249 p. Singapore.
There are 36 citations in total.

Details

Primary Language Turkish
Journal Section Editorial
Authors

Aybey Moğulkoc

Publication Date March 19, 2014
Published in Issue Year 2014 Volume: 35 Issue: 1

Cite

APA Moğulkoc, A. (2014). Grafende Elektron-Akustik Fonon Etkileşmesi. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, 35(1), 21-30.
AMA Moğulkoc A. Grafende Elektron-Akustik Fonon Etkileşmesi. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. March 2014;35(1):21-30.
Chicago Moğulkoc, Aybey. “Grafende Elektron-Akustik Fonon Etkileşmesi”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 35, no. 1 (March 2014): 21-30.
EndNote Moğulkoc A (March 1, 2014) Grafende Elektron-Akustik Fonon Etkileşmesi. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 35 1 21–30.
IEEE A. Moğulkoc, “Grafende Elektron-Akustik Fonon Etkileşmesi”, Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, vol. 35, no. 1, pp. 21–30, 2014.
ISNAD Moğulkoc, Aybey. “Grafende Elektron-Akustik Fonon Etkileşmesi”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 35/1 (March 2014), 21-30.
JAMA Moğulkoc A. Grafende Elektron-Akustik Fonon Etkileşmesi. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. 2014;35:21–30.
MLA Moğulkoc, Aybey. “Grafende Elektron-Akustik Fonon Etkileşmesi”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, vol. 35, no. 1, 2014, pp. 21-30.
Vancouver Moğulkoc A. Grafende Elektron-Akustik Fonon Etkileşmesi. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. 2014;35(1):21-30.