메뉴 건너뛰기




Volumn 79, Issue 15, 2009, Pages

Phonon renormalization in doped bilayer graphene

Author keywords

[No Author keywords available]

Indexed keywords


EID: 65649108058     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.155417     Document Type: Article
Times cited : (263)

References (62)
  • 3
    • 27744475163 scopus 로고    scopus 로고
    • Experimental observation of the quantum Hall effect and Berry's phase in graphene
    • DOI 10.1038/nature04235, PII N04235
    • Y. Zhang, Y.-W. Tan, H. L. Stormer, and P. Kim, Nature (London) 438, 201 (2005). 10.1038/nature04235 (Pubitemid 41599868)
    • (2005) Nature , vol.438 , Issue.7065 , pp. 201-204
    • Zhang, Y.1    Tan, Y.-W.2    Stormer, H.L.3    Kim, P.4
  • 5
    • 33847690144 scopus 로고    scopus 로고
    • The rise of graphene
    • DOI 10.1038/nmat1849, PII NMAT1849
    • A. K. Geim and K. S. Novoselov, Nature Mater. 6, 183 (2007). 10.1038/nmat1849 (Pubitemid 46353764)
    • (2007) Nature Materials , vol.6 , Issue.3 , pp. 183-191
    • Geim, A.K.1    Novoselov, K.S.2
  • 11
    • 34547334459 scopus 로고    scopus 로고
    • Energy band-gap engineering of graphene nanoribbons
    • DOI 10.1103/PhysRevLett.98.206805
    • M. Y. Han, B. Ozyilmaz, Y. Zhang, and P. Kim, Phys. Rev. Lett. 98, 206805 (2007). 10.1103/PhysRevLett.98.206805 (Pubitemid 47139572)
    • (2007) Physical Review Letters , vol.98 , Issue.20 , pp. 206805
    • Han, M.Y.1    Ozyilmaz, B.2    Zhang, Y.3    Kim, P.4
  • 13
    • 33644674176 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.96.086805
    • E. McCann and V. I. Falko, Phys. Rev. Lett. 96, 086805 (2006). 10.1103/PhysRevLett.96.086805
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 086805
    • McCann, E.1    Falko, V.I.2
  • 14
    • 35348824869 scopus 로고    scopus 로고
    • 10.1143/JPSJ.76.104711
    • T. Ando, J. Phys. Soc. Jpn. 76, 104711 (2007). 10.1143/JPSJ.76.104711
    • (2007) J. Phys. Soc. Jpn. , vol.76 , pp. 104711
    • Ando, T.1
  • 15
    • 33747626322 scopus 로고    scopus 로고
    • Controlling the electronic structure of bilayer graphene
    • DOI 10.1126/science.1130681
    • T. Ohta, A. Bostwick, T. Seyller, K. Horn, and E. Rotenberg, Science 313, 951 (2006). 10.1126/science.1130681 (Pubitemid 44267382)
    • (2006) Science , vol.313 , Issue.5789 , pp. 951-954
    • Ohta, T.1    Bostwick, A.2    Seyller, T.3    Horn, K.4    Rotenberg, E.5
  • 17
    • 33750162077 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.74.161403
    • E. McCann, Phys. Rev. B 74, 161403 (R) (2006). 10.1103/PhysRevB.74.161403
    • (2006) Phys. Rev. B , vol.74 , pp. 161403
    • McCann, E.1
  • 23
    • 34247189037 scopus 로고    scopus 로고
    • Electric field effect tuning of electron-phonon coupling in graphene
    • DOI 10.1103/PhysRevLett.98.166802
    • J. Yan, Y. Zhang, P. Kim, and A. Pinczuk, Phys. Rev. Lett. 98, 166802 (2007). 10.1103/PhysRevLett.98.166802 (Pubitemid 46626877)
    • (2007) Physical Review Letters , vol.98 , Issue.16 , pp. 166802
    • Yan, J.1    Zhang, Y.2    Kim, P.3    Pinczuk, A.4
  • 25
    • 34249889935 scopus 로고    scopus 로고
    • Raman spectroscopy of graphene and graphite: Disorder, electron-phonon coupling, doping and nonadiabatic effects
    • DOI 10.1016/j.ssc.2007.03.052, PII S0038109807002967, Exploring graphene Recent research advances
    • A. C. Ferrari, Solid State Commun. 143, 47 (2007). 10.1016/j.ssc.2007.03. 052 (Pubitemid 46874496)
    • (2007) Solid State Communications , vol.143 , Issue.1-2 , pp. 47-57
    • Ferrari, A.C.1
  • 33
    • 24144447890 scopus 로고    scopus 로고
    • A. C. Ferrari and J. Robertson
    • A. C. Ferrari, and, J. Robertson, Philos. Trans. R. Soc. London, Ser. A 362, 2267 (2004).
    • (2004) Philos. Trans. R. Soc. London, Ser. A , vol.362 , pp. 2267
  • 35
  • 36
    • 0035882062 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.64.075414
    • A. C. Ferrari and J. Robertson, Phys. Rev. B 64, 075414 (2001). 10.1103/PhysRevB.64.075414
    • (2001) Phys. Rev. B , vol.64 , pp. 075414
    • Ferrari, A.C.1    Robertson, J.2
  • 37
    • 0034429029 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.85.5214
    • C. Thomsen and S. Reich, Phys. Rev. Lett. 85, 5214 (2000). 10.1103/PhysRevLett.85.5214
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 5214
    • Thomsen, C.1    Reich, S.2
  • 39
    • 33846352893 scopus 로고    scopus 로고
    • Nonadiabatic Kohn anomaly in a doped graphene monolayer
    • DOI 10.1103/PhysRevLett.97.266407
    • M. Lazzeri and F. Mauri, Phys. Rev. Lett. 97, 266407 (2006). 10.1103/PhysRevLett.97.266407 (Pubitemid 46135022)
    • (2006) Physical Review Letters , vol.97 , Issue.26 , pp. 266407
    • Lazzeri, M.1    Mauri, F.2
  • 42
    • 33847252155 scopus 로고    scopus 로고
    • 10.1143/JPSJ.75.124701
    • T. Ando, J. Phys. Soc. Jpn. 75, 124701 (2006). 10.1143/JPSJ.75.124701
    • (2006) J. Phys. Soc. Jpn. , vol.75 , pp. 124701
    • Ando, T.1
  • 45
    • 36149007340 scopus 로고
    • 10.1103/PhysRev.71.622
    • P. R. Wallace, Phys. Rev. 71, 622 (1947). 10.1103/PhysRev.71.622
    • (1947) Phys. Rev. , vol.71 , pp. 622
    • Wallace, P.R.1
  • 47
    • 36149014020 scopus 로고
    • 10.1103/PhysRev.108.612
    • J. W. McClure, Phys. Rev. 108, 612 (1957). 10.1103/PhysRev.108.612
    • (1957) Phys. Rev. , vol.108 , pp. 612
    • McClure, J.W.1
  • 48
    • 0036267495 scopus 로고    scopus 로고
    • Intercalation compounds of graphite
    • DOI 10.1080/00018730110113644, Classic Articles IV
    • M. S. Dresselhaus and G. Dresselhaus, Adv. Phys. 51, 1 (2002). 10.1080/00018730110113644 (Pubitemid 34590200)
    • (2002) Advances in Physics , vol.51 , Issue.1 , pp. 1-186
    • Dresselhaus, M.S.1    Dresselhaus, G.2
  • 49
    • 34147189036 scopus 로고    scopus 로고
    • Fano lineshape and phonon softening in single isolated metallic carbon nanotubes
    • DOI 10.1103/PhysRevLett.98.145504
    • K. T. Nguyen, A. Gaur, and M. Shim, Phys. Rev. Lett. 98, 145504 (2007). 10.1103/PhysRevLett.98.145504 (Pubitemid 46557434)
    • (2007) Physical Review Letters , vol.98 , Issue.14 , pp. 145504
    • Nguyen, K.T.1    Gaur, A.2    Shim, M.3
  • 50
    • 2342576181 scopus 로고    scopus 로고
    • Polymer electrolyte-gated carbon nanotube field-effect transistor
    • DOI 10.1021/nl049937e
    • C. Lu, Q. Fu, S. Huang, and J. Liu, Nano Lett. 4, 623 (2004). 10.1021/nl049937e (Pubitemid 38586625)
    • (2004) Nano Letters , vol.4 , Issue.4 , pp. 623-627
    • Lu, C.1    Fu, Q.2    Huang, S.3    Liu, J.4
  • 52
    • 65649095292 scopus 로고    scopus 로고
    • Note that in Fig. 3 of Ref. both SLG density of states and electron concentration are multiplied by a factor of 2.
    • Note that in Fig. 3 of Ref. both SLG density of states and electron concentration are multiplied by a factor of 2.
  • 55
    • 4243239287 scopus 로고
    • 10.1103/PhysRevB.16.3127
    • W. E. Pickett and P. B. Allen, Phys. Rev. B 16, 3127 (1977). 10.1103/PhysRevB.16.3127
    • (1977) Phys. Rev. B , vol.16 , pp. 3127
    • Pickett, W.E.1    Allen, P.B.2
  • 56
    • 25044473556 scopus 로고
    • 10.1103/PhysRevB.6.2577
    • P. B. Allen, Phys. Rev. B 6, 2577 (1972). 10.1103/PhysRevB.6.2577
    • (1972) Phys. Rev. B , vol.6 , pp. 2577
    • Allen, P.B.1
  • 57
    • 65649093430 scopus 로고    scopus 로고
    • Note that the phonon self-energy imaginary part corresponds to the G peak half width at half maximum, HWHM (G), as for Eq. (8) in Ref., thus, the factor 2 to compute FWHM (G) in Eq. 5. This is sometimes neglected in literature. For example, ΔΓ in Eq. (1) of Ref. represents HWHM (G) and not FWHM (G). Reference then compares this to FWHM (G) calculated in Eq. (3) of Ref., finding D2 /4= DΓ2 F. However, the correct relation should be D2 /2= DΓ2 F. Because of this, the coupling constant of Ref. is λ=2 α′ instead of λ= α′. Similarly, "broadening" in Figs. 4 and 6 of Ref. and Fig. 4 of Ref. is HWHM (G) and not FWHM (G). Also, Fig. 6 in Ref. mistakenly compares the experimental FWHM of the G- peak of metallic single wall carbon nanotubes to the theroetical HWHM.
    • Note that the phonon self-energy imaginary part corresponds to the G peak half width at half maximum, HWHM (G), as for Eq. (8) in Ref., thus, the factor 2 to compute FWHM (G) in Eq. 5. This is sometimes neglected in literature. For example, ΔΓ in Eq. (1) of Ref. represents HWHM (G) and not FWHM (G). Reference then compares this to FWHM (G) calculated in Eq. (3) of Ref., finding D2 /4= DΓ2 F. However, the correct relation should be D2 /2= DΓ2 F. Because of this, the coupling constant of Ref. is λ=2 α′ instead of λ= α′. Similarly, "broadening" in Figs. 4 and 6 of Ref. and Fig. 4 of Ref. is HWHM (G) and not FWHM (G). Also, Fig. 6 in Ref. mistakenly compares the experimental FWHM of the G- peak of metallic single wall carbon nanotubes to the theroetical HWHM.
  • 59
    • 65649152691 scopus 로고    scopus 로고
    • Note that the prefactor of Eq. (7) of Ref. should be ω0 α′ 4c.
    • Note that the prefactor of Eq. (7) of Ref. should be ω0 α′ 4c.
  • 60
    • 65649117040 scopus 로고    scopus 로고
    • EPC (Γ) is equivalent to GΓ2 F as defined in Ref..
    • EPC (Γ) is equivalent to GΓ2 F as defined in Ref..
  • 61
    • 54049099157 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.78.125418;
    • D. M. Basko, Phys. Rev. B 78, 125418 (2008) 10.1103/PhysRevB.78.125418
    • (2008) Phys. Rev. B , vol.78 , pp. 125418
    • Basko, D.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.