Flexural phonons in free-standing graphene

被引:213
作者
Mariani, Eros [1 ]
von Oppen, Felix [1 ]
机构
[1] Free Univ Berlin, Inst Theoret Phys, D-14195 Berlin, Germany
关键词
D O I
10.1103/PhysRevLett.100.076801
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Rotation and reflection symmetries impose that out-of-plane (flexural) phonons of freestanding graphene membranes have a quadratic dispersion at long wavelength and can be excited by charge carriers in pairs only. As a result, we find that flexural phonons dominate the phonon contribution to the resistivity rho below a crossover temperature T-x where we obtain an anomalous temperature dependence rho proportional to T(5/2)lnT. The logarithmic factor arises from renormalizations of the flexural-phonon dispersion due to coupling between bending and stretching degrees of freedom of the membrane.
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页数:4
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共 20 条
[1]  
BEREZINSKII VL, 1971, SOV PHYS JETP-USSR, V32, P493
[2]   Electromechanical resonators from graphene sheets [J].
Bunch, J. Scott ;
van der Zande, Arend M. ;
Verbridge, Scott S. ;
Frank, Ian W. ;
Tanenbaum, David M. ;
Parpia, Jeevak M. ;
Craighead, Harold G. ;
McEuen, Paul L. .
SCIENCE, 2007, 315 (5811) :490-493
[3]   THE ELECTRONIC-SPECTRUM OF FULLERENES FROM THE DIRAC-EQUATION [J].
GONZALEZ, J ;
GUINEA, F ;
VOZMEDIANO, MAH .
NUCLEAR PHYSICS B, 1993, 406 (03) :771-794
[4]   ORDERING, METASTABILITY AND PHASE-TRANSITIONS IN 2 DIMENSIONAL SYSTEMS [J].
Kosterlitz, JM ;
Thouless, DJ .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (07) :1181-1203
[5]  
Landau L., 1986, THEORY ELASTICITY
[6]  
Landau L. D., 1937, Zh. Eksp. Teor. Fiz., V7, P19
[7]   Symmetry-based approach to electron-phonon interactions in graphene [J].
Manes, J. L. .
PHYSICAL REVIEW B, 2007, 76 (04)
[8]   Weak-localization magnetoresistance and valley symmetry in graphene [J].
McCann, E. ;
Kechedzhi, K. ;
Fal'ko, Vladimir I. ;
Suzuura, H. ;
Ando, T. ;
Altshuler, B. L. .
PHYSICAL REVIEW LETTERS, 2006, 97 (14)
[9]   The structure of suspended graphene sheets [J].
Meyer, Jannik C. ;
Geim, A. K. ;
Katsnelson, M. I. ;
Novoselov, K. S. ;
Booth, T. J. ;
Roth, S. .
NATURE, 2007, 446 (7131) :60-63
[10]   FLUCTUATIONS IN MEMBRANES WITH CRYSTALLINE AND HEXATIC ORDER [J].
NELSON, DR ;
PELITI, L .
JOURNAL DE PHYSIQUE, 1987, 48 (07) :1085-1092