Stress-induced potential barriers and charge distributions in a piezoelectric semiconductor nanofiber

doi:10.1007/s10483-019-2481-6

Abstract

Abstract: The performance of a piecewise-stressed ZnO piezoelectric semiconductor nanofiber is studied with the multi-field coupling theory. The fields produced by equal and opposite forces as well as sinusoidally distributed forces are examined. Specific distributions of potential barriers, wells, and regions with effective polarization charges are found. The results are fundamental for the mechanical tuning on piezoelectric semiconductor devices and piezotronics.

Key words: plane and anti-plane strain, mixed-mode crack tip, anisotropic plastic stress, ZnO nanofiber, multi-field coupling theory, mechanical tuning, potential well, potential barrier

2010 MSC Number:

82D37

Shuaiqi FAN, Yuantai HU, Jiashi YANG. Stress-induced potential barriers and charge distributions in a piezoelectric semiconductor nanofiber. Applied Mathematics and Mechanics (English Edition), 2019, 40(5): 591-600.

TrendMD

References

[1] HUTSON, A. R. and WHITE, D. L. Elastic wave propagation in piezoelectric semiconductors. Journal of Applied Physics, 33, 40-47(1962)
[2] WHITE, D. L. Amplification of ultrasonic waves in piezoelectric semiconductors. Journal of Applied Physics, 33, 2547-2554(1962)
[3] COLLINS, J. H., LAKIN, K. M., QUATE, C. F., and SHAW, H. J. Amplification of acoustic surface waves with adjacent semiconductor and piezoelectric crystals. Applied Physics Letters, 13, 314-316(1968)
[4] WANG, Z. L. Nanobelts, nanowires, and nanodiskettes of semiconducting oxides-from materials to nanodevices. Advanced Materials, 15, 432-436(2010)
[5] WEN, X. N., WU, W. Z., DING, Y., and WANG, Z. L. Piezotronic effect in flexible thin-film based devices. Advanced Materials, 25, 3371-3379(2013)
[6] LEE, K. Y., KUMAR, B., SEO, J. S., KIM, K. H., SOHN, J. I., CHA, S. N., CHOI, D., WANG, Z. L., and KIM, S. W. P-type polymer-hybridized high-performance piezoelectric nanogenerators. Nano Letters, 12, 1959-1964(2012)
[7] GAO, Y. F. and WANG, Z. L. Electrostatic potential in a bent piezoelectric nanowire:the fundamental theory of nanogenerator and nanopiezotronics. Nano Letters, 7, 2499-2505(2007)
[8] LU, M. P., SONG, J. H., LU, M. Y., CHEN, M. T., GAO, Y. F., CHEN, L. J., and WANG, Z. L. Piezoelectric nanogenerator using p-type ZnO nanowire arrays. Nano Letters, 9, 1223-1227(2009)
[9] YANG, Q., LIU, Y., PAN, C. F., CHEN, J., WEN, X. N., and WANG, Z. L. Largely enhanced efficiency in ZnO nanowire/p-polymer hybridized inorganic/organic ultraviolet light-emitting diode by piezo-phototronic effect. Nano Letters, 13, 607-613(2013)
[10] WANG, X. D., ZHOU, J., SONG, J. H., LIU, J., XU, N. S., and WANG, Z. L. Piezoelectric field effect transistor and nanoforce sensor based on a single ZnO nanowire. Nano Letters, 6, 2768-2772(2006)
[11] LAO, C. S., PARK, M. C., KUANG, Q., DENG, Y. L., SOOD, A. K., POLLA, D. L., and WANG, Z. L. Giant enhancement in UV response of ZnO nanobelts by polymer surface-functionalization. Journal of the American Chemical Society, 129, 12096-12097(2007)
[12] LI, P., JIN, F., and MA, J. X. One-dimensional dynamic equations of a piezoelectric semiconductor beam with a rectangular cross section and their application in static and dynamic characteristic analysis. Applied Mathematics and Mechanics (English Edition), 39(5), 685-702(2018) https://doi.org/10.1007/s10483-018-2325-6
[13] LEW-YAN-VOON, L. C. and WILLATZEN, M. Electromechanical phenomena in semiconductor nanostructures. Journal of Applied Physics, 109, 031101(2011)
[14] PAN, E. Elastic and piezoelectric fields around a quantum dot:fully coupledor semicoupled model? Journal of Applied Physics, 91, 3785-3796(2002)
[15] PAN, E. Elastic and piezoelectric fields in substrates GaAs (001) and GaAs (111) due to a buried quantum dot. Journal of Applied Physics, 91, 6379-6387(2002)
[16] JOGAI, B., ALBRECHT, J. D., and PAN, E. Effect of electromechanical coupling on the strain in AlGaN/GaN heterojunction field effect transistors. Journal of Applied Physics, 94, 3984-3985(2003)
[17] JOGAI, B., ALBRECHT, J. D., and PAN, E. Electromechanical coupling in free-standing AlGaN/GaN planar structures. Journal of Applied Physics, 94, 6566-6573(2003)
[18] LIU, Y., ZHANG, Y., YANG, Q., NIU, S. M., and WANG, Z. L. Fundamental theories of piezotronics and piezo-phototronics. Nano Energy, 14, 257-275(2015)
[19] WANG, Z. L. and WU, W. Z. Piezotronics and piezo-phototronics:fundamentals and applications. National Science Review, 1, 62-90(2014)
[20] GAO, Y. F. and WANG, Z. L. Electrostatic potential in a bent piezoelectric nanowire:the fundamental theory of nanogenerator and nanopiezotronics. Nano Letters, 7, 2499-2505(2007)
[21] GAO, Y. F. and WANG, Z. L. Equilibrium potential of free charge carriers in a bent piezoelectric semiconductive nanowire. Nano Letters, 9, 1103-1110(2009)
[22] FAN, S. Q., LIANG, Y. X., XIE, J. M., and HU, Y. T. Exact solutions to the electromechanical quantities inside a statically-bent circular ZnO nanowire by taking into account both the piezoelectric property and the semiconducting performance:part I, linearized analysis. Nano Energy, 40, 82-87(2017)
[23] LIANG, Y. X., FAN, S. Q., CHEN, X. D., and HU, Y. T. Nonlinear effect of carrier drift on the performance of an n-type ZnO nanowire nanogenerator by coupling piezoelectric effect and semiconduction. Beilstein Journal of Nanotechnology, 9, 1917-1925(2018)
[24] DAI, X. Y., ZHU, F., QIAN, Z. H., and YANG, J. S. Electric potential and carrier distribution in a piezoelectric semiconductor nanowire in time-harmonic bending vibration. Nano Energy, 43, 22-28(2017)
[25] ZHANG, C. L., WANG, X. Y., CHEN, W. Q., and YANG, J. S. An analysis of the extension of a ZnO piezoelectric semiconductor nanofiber under an axial force. Smart Material Structures, 26, 025030(2016)
[26] ZHANG, C. L., LUO, Y. X., CHENG, R. R., and WANG, X. Y. Electromechanical fields in piezoelectric semiconductor nanofibers under an axial force. MRS Advances, 2, 3421-3426(2017)
[27] CHENG, R. R., ZHANG, C. L., CHEN, W. Q., and YANG, J. S. Piezotronic effects in the extension of a composite fiber of piezoelectric dielectrics and nonpiezoelectric semiconductors. Journal of Applied Physics, 124, 064506(2018)
[28] WANG, G. L., LIU, J. X., LIU, X. L., FENG, W. J., and YANG, J. S. Extensional vibration characteristics and screening of polarization charges in a ZnO piezoelectric semiconductor nanofiber. Journal of Applied Physics, 124, 094502(2018)
[29] YANG, W. L., HU, Y. T., and YANG, J. S. Transient extensional vibration in a ZnO piezoelectric semiconductor nanofiber under a suddenly applied end force. Materials Research Express, 6, 025902(2018)
[30] FAN, S. Q., YANG, W. L., and HU, Y. T. Adjustment and control on the fundamental characteristics of a piezoelectric PN junction by mechanical-loading. Nano Energy, 52, 416-421(2018)
[31] JIN, L. S., YAN, X. H., WANG, X. F., HU, W. J., ZHANG, Y., and LI, L. J. Dynamical model for piezotronic and piezo-phototronic devices under low and high frequency external compressive stresses. Journal of Applied Physics, 123, 025709(2018)
[32] AULD, B. A. Acoustic Fields and Waves in Solids, John Wiley and Sons, New York (1973)