1. State Key Laboratory for Mesoscopic Physics, and Electron Microscopy Laboratory, Department of Physics, Peking University, Beijing 100871, China; 2. State Key Laboratory for Mechanics and Control of Mechanical Structures, and MOE Key Laboratory of Intelligent Nano Materials and Devices, Institute of Nano Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
We conduct systematical cathodoluminescence study on red-shift of near-band-edge emission energy in elastic bent ZnO nanowires with diameters within the exciton diffusion length (~ 200 nm) in liquid nitrogen temperature (81 K). By charactering the emission spectra of the nanowires with different local curvatures, we find a linear relationship between strain-gradient and the red-shift of near-band-edge emission photon energy, an elastic strain-gradient effect in semiconductor similar to the famous flexoelectric effect in liquid crystals. Our results provide a new route to understand the inhomogeneous strain effect on the energy bands and optical properties of semiconductors and should be useful for designing advanced nano-optoelectronic devices.
V. M. Pereira and A. H. Castro Neto, Strain engineering of graphene’s electronic structure, Phys. Rev. Lett. , 2009, 103(4): 046801 doi: 10.1103/PhysRevLett.103.046801
2
A. Maiti, Carbon nanotubes: Bandgap engineering with strain, Nat. Mater. , 2003, 2(7): 440 doi: 10.1038/nmat928
3
C. Q. Chen, Y. Shi, Y. S. Zhang, J. Zhu, and Y. J. Yan, Size dependence of Young’s modulus in ZnO nanowires, Phys. Rev. Lett. , 2006, 96(7): 075505 doi: 10.1103/PhysRevLett.96.075505
4
S. Xu, Y. Qin, C. Xu, Y. Wei, R. Yang, and Z. L. Wang, Selfpowered nanowire devices, Nat. Nanotechnol. , 2010, 5(5): 366 doi: 10.1038/nnano.2010.46
5
K. Kash, B. P. Van der Gaag, D. D. Mahoney, A. S. Gozdz, L. T. Florez, J. P. Harbison, and M. Sturge, Observation of quantum confinement by strain gradients, Phys. Rev. Lett. , 1991, 67(10): 1326 doi: 10.1103/PhysRevLett.67.1326
6
B. A. Bernevig and S.-C. Zhang, Quantum spin Hall effect, Phys. Rev. Lett. , 2006, 96(10): 106802 doi: 10.1103/PhysRevLett.96.106802
7
J. Harden, B. Mbarga, N. éber, K. Fodor-Csorba, S. Sprunt, J. T. Gleeson, and A. Jákli, Giant flexoelectricity of bentcore nematic liquid crystals, Phys. Rev. Lett. , 2006, 97(15): 157802 doi: 10.1103/PhysRevLett.97.157802
8
A. K. Tagantsev, Piezoelectricity and flexoelectricity in crystalline dielectrics, Phys. Rev. B , 1986, 34(8): 5883 doi: 10.1103/PhysRevB.34.5883
9
M. Leong, B. Doris, J. Kedzierski, K. Rim, and M. Yang, Silicon device scaling to the sub-10-nm regime, Science , 2004, 306(5704): 2057 doi: 10.1126/science.1100731
10
J. Cao, E. Ertekin, V. Srinivasan, W. Fan, S. Huang, H. Zheng, J. W. L.Yim, D. R. Khanal, D. F. Ogletree, J. C. Grossman, and J. Wu, Strain engineering and one-dimensional organization of metal-insulator domains in single-crystal vanadium dioxide beams, Nature Nanotech. , 2009, 4(11): 732 doi: 10.1038/nnano.2009.266
11
ü. ?zgür, Ya. I. Alivov, C. Liu, A. Teke, M. A. Reshchikov, S. Dogan, V. Avrutin, S. J. Cho, and H. Morko竎, A comprehensive review of ZnO materials and devices, J. Appl. Phys. , 2005, 98(4): 041301 doi: 10.1063/1.1992666
12
Y. Qin, X. Wang, and Z. L. Wang, Microfibre-nanowire hybrid structure for energy scavenging, Nature , 2008, 451(7180): 809 doi: 10.1038/nature06601
13
Z. L. Wang and J. Song, Piezoelectric nanogenerators based on zinc oxide nanowire arrays, Science , 2006, 312(5771): 242 doi: 10.1126/science.1124005
14
X. B. Han, L. Z. Kou, X. L. Lang, H. B. Xia, N. Wang, R. Qin, J. Lu, J. Xu, Z. M. Liao, X. Z. Zhang, X. D. Shan, X. F. Song, J. Y. Gao, W. L. Guo, and D. P. Yu, Electronic and mechanical coupling in bent ZnO nanowires, Adv. Mater. , 2009, 21(48): 4937 doi: 10.1002/adma.200900956
15
X. B. Han, L. Z. Kou, X. L. Lang, H. B. Xia, N. Wang, R. Qin, J. Lu, J. Xu, Z. M. Liao, X. Z. Zhang, X. D. Shan, X. F. Song, J. Y. Gao, W. L. Guo, and D. P. Yu, Strain-gradient effect on energy bands in bent ZnO microwires, Adv. Mater. , 2012, 24(34): 4707 doi: 10.1002/adma.201104372
16
J. Y. Gao, X. Z. Zhang, Y. H. Sun, Q. Zhao, and D. P. Yu, Compensation mechanism in N-doped ZnO nanowires, Nanotechnology , 2010, 21(24): 245703 doi: 10.1088/0957-4484/21/24/245703
17
J. Xu, L. Chen, L. S. Yu, H. Liang, B. S. Zhang, and K. M. Lau, Cathodoluminescence study of InGaN/GaN quantumwell LED structures grown on a Si substrate, J. Electron. Mater. , 2007, 36(9): 1144 doi: 10.1007/s11664-007-0193-6
18
J. Yoo, G. C. Yi, and L. S. Dang, Probing exciton diffusion in semiconductors using emiconductor-nanorod quantum structures, Small , 2008, 4(4): 467 doi: 10.1002/smll.200701293
19
R. L. Weiher and W. C. Tait, Mixed-mode excitons in the photoluminescence of zinc oxide-reabsorption and exciton diffusion, Phys. Rev. B , 1972, 5(2): 623 doi: 10.1103/PhysRevB.5.623
20
J. M. Soler, E. Artacho, J. D. Gale, A. García, J. Junquera, P. Ordejón, and D. And Sánchez-Portal, The SIESTA method for ab initio order-N materials simulation, J. Phys.: Condens. Matter , 2002, 14(11): 2745 doi: 10.1088/0953-8984/14/11/302
21
J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. , 1996, 77(18): 3865 doi: 10.1103/PhysRevLett.77.3865
22
C. Li, W. Guo, Y. Kong, and H. Gao, First-principles study on ZnO nanoclusters with hexagonal prism structures, Appl. Phys. Lett. , 2007, 90(22): 223102 doi: 10.1063/1.2743934
23
L. Kou, C. Li, Z. Zhang, and W. Guo, Electric-field- and hydrogen-passivation-induced band modulations in armchair ZnO nanoribbons, J. Phys. Chem. C , 2010, 114(2): 1326 doi: 10.1021/jp909584j
24
R. Resta, Towards a bulk theory of flexoelectricity, Phys. Rev. Lett. , 2010, 105(12): 127601 doi: 10.1103/PhysRevLett.105.127601
25
Y. Gu, I. L. Kuskovsky, M. Yin, S. O’Brien, and G. F. Neumark, Quantum confinement in ZnO nanorods, Appl. Phys. Lett. , 2004, 85(17): 3833 doi: 10.1063/1.1811797
26
S. Achour, A. Harabi, and N. Tabet, Cathodoluminescence dependence upon irradiation time, Mater. Sci. Eng. B , 1996, 42(1-3): 289 doi: 10.1016/S0921-5107(96)01723-0
27
M. P. Lu, J. Song, M. Y. Lu, M. T. Chen, Y. Gao, L. J. Chen, and Z. L. Wang, Piezoelectric nanogenerator using p-type ZnO nanowire arrays, Nano Lett., 2009, 9(3): 1223 doi: 10.1021/nl900115y