@article {1429,
	title = {Phonon dispersions and vibrational properties of monolayer, bilayer, and trilayer graphene: Density-functional perturbation theory},
	journal = {Physical Review B},
	volume = {77},
	number = {12},
	year = {2008},
	note = {<p>ISI Document Delivery No.: 282BQTimes Cited: 19Cited Reference Count: 50Cited References:      de Heer WA, 2007, SOLID STATE COMMUN, V143, P92, DOI 10.1016/j.ssc.2007.04.023     Ferrari AC, 2007, SOLID STATE COMMUN, V143, P47, DOI 10.1016/j.ssc.2007.03.052     Mohr M, 2007, PHYS REV B, V76, DOI 10.1103/PhysRevB.76.035439     Hass J, 2007, PHYS REV B, V75     Yan J, 2007, PHYS REV LETT, V98     Geim AK, 2007, NAT MATER, V6, P183, DOI 10.1038/nmat1849     Graf D, 2007, NANO LETT, V7, P238, DOI 10.1021/nl061702a     Bostwick A, 2007, NAT PHYS, V3, P36, DOI 10.1038/nphys477     Katsnelson MI, 2007, MATER TODAY, V10, P20, DOI 10.1016/S1369-7021(06)71788-6     Piscanec S, 2007, PHYS REV B, V75     Lazzeri M, 2006, PHYS REV LETT, V97, DOI 10.1103/PhysRevLett.97.266407     Gupta A, 2006, NANO LETT, V6, P2667, DOI 10.1021/nl061420a     Ferrari AC, 2006, PHYS REV LETT, V97, DOI 10.1103/PhysRevLett.97.187401     Dappe YJ, 2006, PHYS REV B, V74, DOI 10.1103/PhysRevB.74.205434     Latil S, 2006, PHYS REV LETT, V97, DOI 10.1103/PhysRevLett.97.036803     Berger C, 2006, SCIENCE, V312, P1191, DOI 10.1126/science.1125925     Chakarova-Kack SD, 2006, PHYS REV LETT, V96, DOI 10.1103/PhysRevLett.96.146107     Ooi N, 2006, CARBON, V44, P231, DOI 10.1016/j.carbon.2005.07.036     ANDO T, 2006, PHYS SOC JPN, V75, P24701     Lazzeri M, 2005, PHYS REV LETT, V95, DOI 10.1103/PhysRevLett.95.236802     Novoselov KS, 2005, NATURE, V438, P197, DOI 10.1038/nature04233     Zhang YB, 2005, NATURE, V438, P201, DOI 10.1038/nature04235     Mounet N, 2005, PHYS REV B, V71, DOI 10.1103/PhysRevB.71.205214     Berger C, 2004, J PHYS CHEM B, V108, P19912, DOI 10.1021/jp040650f     Piscanec S, 2004, PHYS REV LETT, V93, DOI 10.1103/PhysRevLett.93.185503     Jiang J, 2004, CHEM PHYS LETT, V392, P383, DOI 10.1016/j.cplett.2004.05.097     Wirtz L, 2004, SOLID STATE COMMUN, V131, P141, DOI 10.1016/j.ssc.2004.04.042     Maultzsch J, 2004, PHYS REV LETT, V92, DOI 10.1103/PhysRevLett.92.075501     Rydberg H, 2003, PHYS REV LETT, V91, DOI 10.1103/PhysRevLett.91.126402     Dubay O, 2003, PHYS REV B, V67, DOI 10.1103/PhysRevB.67.035401     Gruneis A, 2002, PHYS REV B, V65, DOI 10.1103/PhysRevB.65.155405     Girifalco LA, 2002, PHYS REV B, V65, DOI 10.1103/PhysRevB.65.125404     Zabel H, 2001, J PHYS-CONDENS MAT, V13, P7679, DOI 10.1088/0953-8984/13/34/313     Baroni S, 2001, REV MOD PHYS, V73, P515, DOI 10.1103/RevModPhys.73.515     Yao Z, 2000, PHYS REV LETT, V84, P2941, DOI 10.1103/PhysRevLett.84.2941     Kohn W, 1998, PHYS REV LETT, V80, P4153, DOI 10.1103/PhysRevLett.80.4153     Siebentritt S, 1997, PHYS REV B, V55, P7927, DOI 10.1103/PhysRevB.55.7927     BRILLSON LJ, 1997, PHYS SEMIMETALS NARR, P187     MERCER JL, 1994, PHYS REV B, V49, P8506, DOI 10.1103/PhysRevB.49.8506     TROULLIER N, 1993, PHYS REV B, V43, P1991     METHFESSEL M, 1989, PHYS REV B, V40, P3616, DOI 10.1103/PhysRevB.40.3616     CHADI DJ, 1989, ATOMISTIC SIMULATION, P309     OSHIMA C, 1988, SOLID STATE COMMUN, V65, P1601, DOI 10.1016/0038-1098(88)90660-6     NEMANICH RJ, 1979, PHYS REV B, V20, P392, DOI 10.1103/PhysRevB.20.392     NICKLOW R, 1972, PHYS REV B, V5, P4951, DOI 10.1103/PhysRevB.5.4951     FRIEDEL RA, 1971, J PHYS CHEM-US, V75, P1149, DOI 10.1021/j100678a021     TOUINSTRA F, 1970, J CHEM PHYS, V53, P1129     WYCKOFF RWG, 1963, CRYSTAL STRUCTURE, V1     KOHN W, 1959, PHYS REV LETT, V2, P393, DOI 10.1103/PhysRevLett.2.393     LIFSHITS IM, 1952, ZH EKSP TEOR FIZ+, V22, P475Yan, Jia-An Ruan, W. Y. Chou, M. Y.AMER PHYSICAL SOCCOLLEGE PK</p>
},
	month = {Mar},
	pages = {7},
	type = {Article},
	abstract = {<p>The phonon dispersions of monolayer and few-layer graphene (AB bilayer, and ABA and ABC trilayers) are investigated using the density-functional perturbation theory. Compared with the monolayer, the optical phonon E(2g) mode at Gamma splits into two and three doubly degenerate branches for bilayer and trilayer graphene, respectively, due to the weak interlayer coupling. These modes are of various symmetries and exhibit different sensitivities to either Raman or infrared measurements (or both). The splitting is found to be 5 cm(-1) for bilayer and 2-5 cm(-1) for trilayer graphene. The interlayer coupling is estimated to be about 2 cm(-1). We found that the highest optical modes at K move up by about 12 cm(-1) for bilayer and 18 cm(-1) for trilayer relative to monolayer graphene. The atomic displacements of these optical eigenmodes are analyzed.</p>
},
	keywords = {carbon, DYNAMICS, EPITAXIAL GRAPHENE, GAS, GRAPHITE, LAYER, RAMAN-SPECTROSCOPY, SCATTERING, SURFACE},
	isbn = {1098-0121},
	url = {<Go to ISI>://WOS:000254543000118},
	author = {Yan, J. A. and Ruan, W. Y. and Chou, M. Y.}
}
