Third order optical nonlinearity of graphene

被引:313
作者
Cheng, J. L. [1 ,2 ,3 ]
Vermeulen, N. [3 ]
Sipe, J. E. [1 ,2 ]
机构
[1] Univ Toronto, Dept Phys, Toronto, ON M5S 1A7, Canada
[2] Univ Toronto, Inst Opt Sci, Toronto, ON M5S 1A7, Canada
[3] Vrije Univ Brussel, Brussels Photon Team B PHOT, Dept Appl Phys & Photon IR TONA, B-1050 Brussels, Belgium
基金
加拿大自然科学与工程研究理事会;
关键词
graphene; optical nonlinearities; four wave mixing; coherent control; third harmonic generation; BILAYER GRAPHENE; SEMICONDUCTORS; OPTOELECTRONICS; ABSORPTION; SHEETS;
D O I
10.1088/1367-2630/16/5/053014
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We perform a perturbative calculation of the third order optical conductivities of doped graphene, using approximations valid around the Dirac points and neglecting effects due to scattering and electron-electron interactions. In this limit analytic formulas can be constructed for the conductivities. We discuss in detail the results for third harmonic generation, the Kerr effect and two-photon carrier injection, parametric frequency conversion, and two-color coherent current injection. We find a complicated dependence on the chemical potential and photon energies. The linear dispersion causes resonances over a wide range of photon energies, and it is possible to obtain large optical nonlinearities by tuning the chemical potential.
引用
收藏
页数:16
相关论文
共 37 条
[1]   NONLINEAR-OPTICAL SUSCEPTIBILITIES OF SEMICONDUCTORS - RESULTS WITH A LENGTH-GAUGE ANALYSIS [J].
AVERSA, C ;
SIPE, JE .
PHYSICAL REVIEW B, 1995, 52 (20) :14636-14645
[2]   Atomic-Layer Graphene as a Saturable Absorber for Ultrafast Pulsed Lasers [J].
Bao, Qiaoliang ;
Zhang, Han ;
Wang, Yu ;
Ni, Zhenhua ;
Yan, Yongli ;
Shen, Ze Xiang ;
Loh, Kian Ping ;
Tang, Ding Yuan .
ADVANCED FUNCTIONAL MATERIALS, 2009, 19 (19) :3077-3083
[3]  
BLOUNT EI, 1962, SOLID STATE PHYS, V13, P305
[4]  
Bonaccorso F, 2010, NAT PHOTONICS, V4, P611, DOI [10.1038/nphoton.2010.186, 10.1038/NPHOTON.2010.186]
[5]  
Boyd RW, 2008, NONLINEAR OPTICS, 3RD EDITION, P1
[6]   The electronic properties of graphene [J].
Castro Neto, A. H. ;
Guinea, F. ;
Peres, N. M. R. ;
Novoselov, K. S. ;
Geim, A. K. .
REVIEWS OF MODERN PHYSICS, 2009, 81 (01) :109-162
[7]   Second harmonic generation from graphene and graphitic films [J].
Dean, Jesse J. ;
van Driel, Henry M. .
APPLIED PHYSICS LETTERS, 2009, 95 (26)
[8]   High frequency electric field induced nonlinear effects in graphene [J].
Glazov, M. M. ;
Ganichev, S. D. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2014, 535 (03) :101-138
[9]   Second harmonic generation in graphene [J].
Glazov, M. M. .
JETP LETTERS, 2011, 93 (07) :366-371
[10]   Regenerative oscillation and four-wave mixing in graphene optoelectronics [J].
Gu, T. ;
Petrone, N. ;
McMillan, J. F. ;
van der Zande, A. ;
Yu, M. ;
Lo, G. Q. ;
Kwong, D. L. ;
Hone, J. ;
Wong, C. W. .
NATURE PHOTONICS, 2012, 6 (08) :554-559