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北京理工大學物理學院研究生導師：張向東

導師信息來源：北京理工大學 2019-02-10　相關院校：北京理工大學

北理物理學院研究生導師張向東介紹如下：

姓名：張向東

所在學科：物理學院

職稱：正高

E-mail：zhangxd@bit.edu.cn

個人簡歷

1988和1993年在河北師范大學物理系獲得物理學學士和碩士學位，1998年4月在中科院物理所獲博士學位，現(xiàn)為北京理工大學特聘教授。

工作經歷

1998年5月至2002年7月在香港科技大學物理系作訪問學者從事博士后研究, 2002年8月至2011年9月任北京師范大學物理系教授、博士生導師，2011年10月調入北京理工大學物理學院工作。

科研方向

(1)光和人工結構材料(光子晶體, metamaterials, plasmonics 以及石墨烯等二維材料)的相互作用；

(2)量子信息, 量子計算, 量子傳感和成像；

(3)光量子芯片，基于光子芯片的人工智能和機械學習;；

(4) 納米光學和光電子器件。

研究手段：理論和實驗相結合。

學術成就

多年來一直致力于光子晶體和低維納米結構的物理特性及其應用研究，探討利用人工微納結構調控經典和量子光場，并取得了多項創(chuàng)新成果：

(1) 首次觀測到了光和聲的Zitterbewegung效應，證明了相對論量子力學中一個長期的理論預言，Nature China的研究亮點專門報道了這一工作, 發(fā)表在《Nature》上的論文也對這個工作做了很好引用和評述；

(2) 利用單光子和糾纏雙光子在實驗上首次觀察到了量子Talbot效應，更正了過去人們在量子成像研究方面一些錯誤認識;

(3) 首次在光子準晶中觀察到了負折射現(xiàn)象，在12重光子準晶中發(fā)現(xiàn)了大的絕對光子帶隙，并指出了《Nature》上一篇重要文章的錯誤；

(4) 通過嚴格數(shù)值模擬首先在聲子晶體中觀察到負折射現(xiàn)象，并發(fā)現(xiàn)了自旋子的負折射；

(5) 在無序動力學中率先從理論上揭示出準一維到三維的動力學交叉行為，后被實驗所證實；

(6) 設計出了光多層石墨烯和拓撲絕緣體材料，通過嚴格數(shù)值模擬證明波在這些材料中傳播擁有對應電子系統(tǒng)相類似的特性；

(7) 觀察到了負的電子能量損失和非線性Smith-Purcell效應，在手征介質表面發(fā)現(xiàn)了異常光自旋霍爾效應；

(8) 率先在鐵磁藕合雙結中發(fā)現(xiàn)超過90%的巨隧穿磁電阻，并被實驗證實；

(9) 利用3D打印技術制備出了metamaterials波基芯片，實現(xiàn)了量子搜索算法；

(10) 在高維量子系統(tǒng)中通過定量引入可控各向同性噪聲方法，首次實驗上精確驗證了高維操控(steering)效應和噪聲抑制現(xiàn)象。

在Phys. Rev. Lett.、Adv. Matter.、Appl. Phys. Lett. 和 Phys. RevA/B/E等核心期刊上發(fā)表論文160余篇，論文被包括發(fā)表在Nature、Science、Nature Materials、Nature Physics和 Phys. Rev. Lett.等SCI期刊上的論文引用4000余次。曾多次在國際大會上做邀請報告，研究成果被Physics Web、Phys. World等專門報道。2004年入選教育部《新世紀優(yōu)秀人才支持計劃》，2008年獲國家杰出青年科學基金。目前承擔國家自然科學基金面上項目、科技部重大研究計劃/量子調控等子課題多項。

教學和研究生培養(yǎng)

(1) 教學: 講授了多門本科生和研究生課程，如：《力學》、《高等量子力學》、《基礎物理》、《數(shù)理與工程》、《物理前沿選講》等。

(2) 研究生培養(yǎng): 已培養(yǎng)博士研究生20余名，碩士研究生10多名，目前他們在高校、科研機構、銀行、公司等行業(yè)的多種崗位上工作。

部分發(fā)表論文（帶‘*’作者為研究生）：

【1】Qiang Zeng*, Bo Wang, Pengyun Li and Xiangdong Zhang, Experimental High-Dimensional Einstein-Podolsky-Rosen Steering, Phys. Rev. Lett. 120, 030401 (2018).

【2】Weixuan Zhang*, Kaiyang Cheng, Chao Wu, Yi Wang, Hongqiang Li and Xiangdong Zhang, Implementing Quantum Search Algorithm with Metamaterials, Adv. Mater. 29, 1703986 (2017) .

【3】Weixuan Zhang*, Tong Wu, Rongyao Wang and Xiangdong Zhang, Amplification of Molecular Chiroptical Effect by Low-loss Dielectric Nanoantennas, Nanoscale 9, 5701 (2017).

【4】Tong Wu*, Weixuan Zhang, Rongyao Wang and Xiangdong Zhang, Giant chiroptical effect caused by the electric quadrupole, Nanoscale 9, 5110 (2017).

【5】Tian Chen, Bo Wang and Xiangdong Zhang, Controlling probability transfer in the discrete-time quantum walk by modulating the symmetries, New J. Phys. 19 (2017) 113049.

【6】Weixuan Zhang*, Tong Wu and Xiangdong Zhang, Tailoring Eigenmodes at Spectral Singularities in Graphene-based PT Systems, Sci. Rep. 7, 11407 (2017) .

【7】Jun Ren*, Tian Chen, Bo Wang, and Xiangdong Zhang, Ultrafast coherent energy transfer with high efficiency based on plasmonic nanostructures, J. Chem. Phys. 146, 144101 (2017).

【8】Tian Chen and Xiangdong Zhang, The defect-induced localization in many positions of the quantum random walk, Sci. Rep. 6, 25767 (2017).

【9】Tiecheng Wang* and Xiangdong Zhang, Improved third-order nonlinear effect in graphene based on bound states in the continuum, Photonics Research 5, 629-639 (2017).

【10】Xin-Bing Song, Shi-Yao Fu, Xiong Zhang, Zhen-Wei Yang, Qiang Zeng, Chunqing Gao and Xiangdong Zhang, Multimode quantum states with single photons carrying orbital angular momentum, Sci. Rep. 7, 3601 (2017).

【11】Bing Yang*, Tong Wu, and Xiangdong Zhang, Engineering topological edge states in two dimensional magnetic photonic crystal, Appl. Phys. Lett. 110, 021109 (2017).

【12】 Tao Li*, Qiang Zeng, Xinbing Song and Xiangdong Zhang, Experimental contextuality in classical light, Sci. Rep. 7, 44467 (2017).

【13】 Weixuan Zhang*, Tong Wu, Rongyao Wang, and Xiangdong Zhang, Surface-Enhanced Circular Dichroism of Oriented Chiral Molecules by Plasmonic Nanostructures, J. Phys. Chem. C, 121, 666-675 (2017).

【14】Tian Chen and Xiangdong Zhang, Extraordinary behaviors in a two-dimensional decoherent alternative quantum walk, Phys. Rev. A 94, 012316 (2016).

【15】 Z. T. Jiang, Z. T. Lv, and Xingdong Zhang, Energy spectrum of pristine and compressed black phosphorus in the presence of a magnetic field, Phys. Rev. B 94, 115118 (2016)

【16】Jun Ren*, Tong Wu, Bing Yang, and Xiangdong Zhang, Simultaneously giant enhancement of Forster resonance energy transfer rate and efficiency based on plasmonic excitations, Phys. Rev. B 94, 125416 (2016).

【17】Tong Wu*, Xiuhui Zhang, Rongyao Wang and Xiangdong Zhang, Strongly Enhanced Raman Optical Activity in Molecules by Magnetic Response of Nanoparticles, J. Phys. Chem. C 120, 14795−14804 (2016).

【18】Yifan Sun* and Xiangdong Zhang, Unusual quantum Talbot effect based on the orbital angular momentum of photons, Phys. Rev. A 93, 063851 (2016).

【19】Pengyun Li*, Bo Wang, and Xiangdong Zhang, High-dimensional encoding based on classical nonseparability, Optics Express 24, 264894 (2016).

【20】Qiang Zeng*, Tao Li, Xinbing Song, and Xiangdong Zhang, Realization of optimized quantum controlledlogic gate based on the orbital angular momentum of light, Optics Express 24, 257875 (2016).

【21】Pengyun Li*, Bo Wang, Xinbing Song and Xiangdong Zhang, Non-destructive identification of twisted light, Optics Letters 41, 1574 (2016).

【22】 Pengyun Li*, Yifan Sun, , Zhenwei Yang, Xinbing Song, and Xiangdong Zhang, Classical hypercorrelation and wave-optics analogy of quantum superdense coding, Sci. Rep. 5, 18574 (2015).

【23】Tiecheng Wang* and Xiangdong Zhang, Magnetic response at visible and near-infrared frequencies from black phosphorus sheet s, Optics Express 23, 30667 (2015).

【24】Tong Wu*, Rong-Yao Wang and Xiangdong Zhang, Plasmon-induced strong interaction between chiral molecules and orbital angular momentum of light, Sci. Rep. 5, 18003 (2015).

【25】Weixuan Zhang*, Jun Ren, and Xiangdong Zhang,Tunable superradiance and quantum phase gate based on graphene wrapped nanowire, Optics Express 23, 22347 (2015).

【26】Jun Ren*, Tong Wu, and Xiangdong Zhang, Multifrequency multi-qubit entanglement based on plasmonic hot spots, Sci. Rep. 5, 13941 (2015).

【27】 Wei Qin, Chuan Wang, Xiangdong Zhang, Protected quantum-state transfer in decoherence-free subspaces, Phys. Rev. A 91, 042303 (2015).

【28】Xinbing Song, Yifan Sun, Pengyun Li, Hongwei Qin, and Xiangdong Zhang, Bell's measure and implementing quantum Fourier transform with orbital angular momentum of classical light, Sci. Rep. 5, 14113 (2015).

【29】 Y. Sun*, X. Song, H. Qin, X. Zhang, Z. Yang, and Xiangdong Zhang, Non-local classical optical correlation and implementing analogy of quantum teleportation, Sci. Rep. 5, 9175 (2015).

【30】D. Zhai*, P. Wang, R-Y. Wang, X. Tian, Y. Ji, W. Zhao, L. Wang, H. Wei, X. Wu and Xiangdong Zhang, Plasmonic polymers with strong chiroptical response for sensing molecular chirality, Nanoscale 7, 10690 (2015).

【31】Mingda Zhang* and Xiangdong Zhang, Ultrasensitive optical absorption in graphene based on bound states in the continuum, Sci. Rep. 5, 8266 (2015).

【32】Tong Wu*, Jun Ren, Rongyao Wang and Xiangdong Zhang, Competition of Chiroptical Effect Caused by Nanostructure and Chiral Molecules, J. Phys. Chem. C 118, 20529−20537 (2014).

【33】 R-Y Wang, P. Wang, Y. Liu, W. Zhao, D. Zhai, X. Hong, Y. Ji, X. Wu, F. Wang, D. Zhang, W. Zhang, R. Liu and Xiangdong Zhang, Experimental Observation of Giant Chiroptical Amplification of Small Chiral Molecules by Gold Nanosphere Clusters, J. Phys. Chem. C 118, 9690 (2014).

【34】Yineng Liu*, Rongyao Wang and Xiangdong Zhang, Giant circular dichroism enhancement and chiroptical illusion in hybrid molecule-plasmonic nanostructures, Optics Express 22, 4357 (2014).

【35】Yifan Sun*, Ran Tao and Xiangdong Zhang, Fractional Fourier processing of quantum light, Optics Express 22, 728 (2014).

【36】Yineng Liu* and Xiangdong Zhang, Spin-based resonant effect and focusing lens of light by dielectric nanoparticles, Appl. Phys. Lett. 102, 141109 (2013).

【37】L.Y. Zhao*, C. S. Tian, Z. Q. Zhang and Xiangdong Zhang, Unconventional diffusion of light in strongly localized open absorbing media, Phys. Rev. B 88, 155104 (2013).

【38】 Yineng Liu* and Xiangdong Zhang, Spin-based second-harmonic generation by metal nanoparticles, Phys. Rev. A 88, 063810 (2013).

【39】Xin-Bing Song, D.Q. Xu, H.B. Wang, Jun Xiong, Xiangdong Zhang, D. Z. Cao, and Kaige Wang, Experimental observation of one-dimensional quantum holographic imaging, Appl. Phys. Lett. 103, 131111 (2013).

【40】Jinying Xu* and Xiangdong Zhang, Second harmonic generation in three-dimensional structures based on homogeneous centrosymmetric metallic spheres, Optics. Express 20 1668 (2012).

【41】Xin-Bing Song*, H-B Wang, J. Xiong, K. Wang, Xiangdong Zhang, K-H Luo, and L-A Wu，Experimental Observation of Quantum Talbot Effects, Phys. Rev. Lett. 107, 033902 (2011).

【42】Jinying Xu* and Xiangdong Zhang, Negative electron energy loss and secondharmonic emission of nonlinear nanoparticles, Optics. Express 19, 22999 (2011).

【43】Wei Zhong* and Xiangdong Zhang, Energy spectra for a photonic analog of multilayer grapheme, Phys. Rev. A 84, 033826 (2011).

【44】Wei Zhong* and Xiangdong Zhang, Dirac-cone photonic surface states in three-dimensional photonic crystal slab, Optics. Express 19, 23738 (2011).

【45】 Hailei Wang* and Xiangdong Zhang , Unusual spin Hall effect of a light beam in chiral metamaterials, Phys. Rev. A 83, 003800 (2011).

【46】Shu Gan*, Su-Heng Zhang*, Ting Zhao, Jun Xiong, Xiangdong Zhang, and Kaige Wang, Cloaking of a phase object in ghost imaging, Appl. Phys. Lett. 98, 111102 (2011).

【47】Shaozhi Wei*, Yunxia Dong*, Haibo Wang, and Xiangdong Zhang， Enhancement of correlated photon-pair generation from a positive-negative index material heterostructure, Phys. Rev. A 81, 053830 (2010).

【48】Yunxia Dong* and Xiangdong Zhang, Possibility of efficient generation of multiphoton entangled states using a one-dimensional nonlinear photonic crystal, Phys. Rev. A 81, 033806 (2010).

【49】Xin-Bing Song*, Jun Xiong, Xiangdong Zhang, and Kaige Wang, Second-order Talbot self-imaging with pseudothermal light, Phys. Rev. A 82, 033823 (2010).

【50】 T. Zhai*, Y. Zhou, S. Chen, Z. Wang, J. Shi, Dahe Liu, and Xiangdong Zhang, Pulse-duration-dependent and temperature-tunable random lasing in a weakly scattering structure formed by speckles, Phys. Rev. A 82, 023824 (2010).

【51】Su-Heng Zhang*, Shu Gan*, Jun Xiong, Xiangdong Zhang, and Kaige Wang, Illusion optics in chaotic light, Phys. Rev. A 82, 021804(R) (2010).

【52】Wei Zhong* and Xiangdong Zhang, Localized modes in defect-free two-dimensional circular photonic crystals, Phys. Rev. A 81, 013805 (2010).

【53】Xiangdong Zhang, Negative refraction and abnormal transmission of electromagnetic wave in two-dimension photonic crystals, Materials Today 12, 44 (2009).

【54】Chunxu Bai*, Yanling Yang and Xiangdong Zhang, Effect of electron-electron interactions on the Klein paradox in graphene-based double-barrier structures, Phys. Rev. B. 80，235423 (2009).

【55】Su-Heng Zhang*, Shu Gan*, De-Zhong Cao, Jun Xiong, Xiangdong Zhang, and Kaige Wang, Phase-reversal diffraction in incoherent light, Phys. Rev. A 80, 031805(R) (2009).

【56】Xiangdong Zhang and Zhenyou Liu, Extremal transmission and beating effect of acoustic wave in two-dimensional sonic crystal, Phys. Rev. Lett. 101, 264303 (2008).

【57】 Xiangdong Zhang, Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal, Phys. Rev. Lett. 100, 113903 (2008).

【58】 Chunxu Bai*, Yanling Yang, and Xiangdong Zhang, Specular Andreev reflection and magnetoresistance in graphene-based ferromagnet-superconductor double junctions, Appl. Phys. Lett. 92, 102513 (2008).

【59】T. Zhai*, Z. Wang, R. Zhao, J. Zhou, D. Liu and Xiangdong Zhang, A Dnv point group structure possessing complete band gap based on gradual heterostructure and self-simulating sphere, Appl. Phys. Lett. 93, 201902 (2008).

【60】Yunxia Dong* and Xiangdong Zhang, Unusual entanglement transformation properties of the quantum radiation through one-dimensional random system containing left-handed-materials, Optics. Express 16, 16950 (2008).

【61】Jinying Xu*, Yunxia Dong*, and Xiangdong Zhang, Electromagnetic interactions between a fast electron beam and metamaterial cloaks, Phys. Rev. E 78, 046601 (2008).

【62】Xiangdong Zhang, Z.Y.. Li , B. Cheng and D-Z Zhang, Non-near-field focus and imaging of an unpolarized electromagnetic wave through high-symmetry quasicrystals, Optics. Express 15, 1292 (2007).

【63】Xiangdong Zhang, Universal non-near-field focus of acoustic waves through high-symmetry quasicrystals, Phys. Rev. B. 75 , 024209 (2007).

【64】T. Sun, Z. R. Qiu, H. M. Su, Xiangdong Zhang et. al., Dynamics of random laser and coherent backscattering of light from ZnO amplifying random medium, Appl. Phys. Lett. 88, 91, 241110 (2007).

【65】 Chunxu Bai* and Xiangdong Zhang, Klein paradox and resonant tunneling in a graphene superlattice, Phys. Rev. B. 76, 075430 (2007).

【66】Z. Ren*, Z. Wang, T. Zhai, H. Gao, D Liu and Xiangdong Zhang, Complex diamond lattice with wide band gaps in the visible range prepared by holography using a material with a low index of refraction, Phys. Rev. B. 76，035102 (2007).

【67】Xiangdong Zhang, Negative refraction of spintronics and spin beam splitter, Appl. Phys. Lett. 88, 052114 (2006).

【68】Z. Feng*, Xiangdong Zhang, et.al., Experimental demonstration of non-near-field image governed by negative refraction law, Phys. Rev. B. 73 ，075118 (2006).

【69】 Jing Wang*, Xiangdong Zhang, Shou-Yong Pei and Da-He Liu, Tunable Casimir forces by means of the external magnetic field, Phys. Rev. A . 73，042103 (2006).

【70】 Z. Feng*, Xiangdong Zhang, et.al., Negative Refraction and Imaging by Twelve-Fold-Symmetry Quasicrystals, Phys. Rev. Lett. 94 , 247402 (2005).

【71】 Xiangdong Zhang, Acoustic resonant transmission through acoustic gratings with very narrow slits: Multiple-scattering numerical simulations, Phys. Rev. B 71，241102 (2005) (R).

【72】Xiangdong Zhang, Tunable non-near-field focus and imaging of unpolarized electromagnetic wave, Phys. Rev. B 71, 235103 (2005).

【73】Xiangdong Zhang, Effect of interface and disorder on the far-field image in a two-dimensional photonic-crystal-based flat lens, Phys. Rev. B 71, 165116 (2005).

【74】 C. Qiu*, Xiangdong Zhang and Z. Liu, Left-handed behavior and non-near-field imaging effect of acoustic wave in two-dimensional sonic crystal, Phys. Rev. B 71, 054302 (2005).

【75】 Xiangdong Zhang and Lie-Ming Li, Creating all-angle negative refraction by using insertion, Appl. Phys. Lett. 86 , 121103 (2005).

【76】Xiangdong Zhang,Subwavelength far-field resolution in a square two-dimensional photonic crystal, Phys. Rev. E 71, 037601(2005).

【77】Xiangdong Zhang, Image resolution depending on slab thickness and object distance in a two-dimensional photonic-crystal-based superlens, Phys. Rev. B 70, 195110(2004).

【78】 Xiangdong Zhang, Absolute negative refraction and imaging of unpolarized electromagnetic waves by two-dimensional photonic crystals, Phys. Rev. B 70, 205102(2004).

【79】S. K. Cheung*, Xiangdong Zhang, Z-Q Zhang et.al.: Impact of weak localization in the time domain, Phys. Rev. Lett. 92, 173902 (2004).

【80】Xiangdong Zhang and Z. Y. Liu: Negative refraction of acoustic waves in two-dimensional phononic crystals, Appl. Phys. Lett. 85, 341(2004).

【81】Qianjin Chu, Xiangdong Zhang, and Zhao-Qing Zhang, Calculation of enhanced scattering peaks in disordered thin slabs with internal reflections, Phys. Rev. B 70, 125110 (2004).

【82】K-C Kwan*, Xiangdong Zhang, Zhaoqing Zhang and C.T Chan: Effects due to disorder on photonic crystal-based waveguides, Appl. Phys. Lett. 82, 4414(2003).

【83】X.D. Liu, Xiangdong Zhang, Y.Q. Wang, B.Y. Cheng and D. Z. Zhang: Probing method for the density of states in a photonic crystal with luminescent molecules, Phys. Rev. B 68, 155118(2003).

【84】Zhifang Lin, Haiping Fang, Jianjun Xu, Jian Zi and Xiangdong Zhang,: Lattice Boltzmann model for photonic band gap materials, Phys. Rev. E 67, 025701(2003) (R).

【85】Ping Xie, Zhao-Qing Zhang and Xiangdong Zhang: Gap solitons and soliton trains in finite-sized two-dimensional periodic and quasiperiodic photonic crystals, Phys. Rev. E 63, 026607(2003).

【86】Xiangdong Zhang, Zhao-Qing Zhang: Wave transport through thin slabs of random media with internal reflection: Ballistic to diffusive transition, Phys. Rev. E 66, 016622(2002).

【87】Xiangdong Zhang, Zhao-Qing Zhang: Coherent backscattering of light in a strong localization regime, Phys. Rev. B 65, 155208(2002).

【88】 Xiangdong Zhang, Zhao-Qing Zhang: Non-Rayleigh distribution of reflected speckle intensities from localized states inside the gap of disordered photonic crystals, Phys. Rev. B 65, 245115(2002).

【89】 Xiangdong Zhang, Zhao-Qing Zhang and C.T. Chan: Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals, Phys. Rev. B 63, 081105(2001) (R).

【90】Xiangdong Zhang, Lie-Ming Li, Zhao-Qing Zhang and C.T.Chan: The study of surface states in two-dimensional metallodielectric photonic crystals studied by a multiple-scattering method, Phys. Rev.B 63, 125114(2001).

【91】Yun Lai*, Xiangdong Zhang and Zhaoqing Zhang: Engineering acoustic band gaps, Appl. Phys. Lett. 79, 3224(2001).

【92】Zhi-Yuan Li, Xiangdong Zhang, and Zhao-Qing Zhang: Disordered photonic crystals understood by a perturbation formalism, Phys. Rev. B 61, 15738 (2000).

【93】 Xiangdong Zhang, Zhao-Qing Zhang, Lie-Ming Li, C.Jin, D. Zhang, B. Man, and B. Cheng: Enlarging a photonic band gap by using insertion, Phys. Rev. B 61, 1892(2000).

【94】 Xiangdong Zhang and Zhao-Qing Zhang: Creating a gap without symmetry breaking in two-dimensional photonic crystals, Phys. Rev.B 61, 9847(2000).

【95】C. Jin, B. Cheng, B. Man, D. Zhang, S. Ban, B Sun, Xiangdong Zhang, Zhaoqing Zhang: Two-dimensional metallodielectric photonic crystal with a large band gap, Appl. Phys. Lett. 75, 1201(1999).

【96】 Lie-Ming Li, Zhao-Qing Zhang, and Xiangdong Zhang: Transmission and absorption properties of two-dimensional metallic photonic-band-gap materials, Phys. Rev. B 58, 15589(1998).

【97】Xiangdong Zhang, Bozang Li, Wushou Zhang and Fu-Cho Pu: Magnetoresistance and exchange coupling in the ferromagnetic tunnel junction with ferromagnetic layers of finite thickness, Phys. Rev. B 57, 1090(1998).

【98】 Xiangdong Zhang, Bozang Li, Gang Sun and Fu-Cho Pu: Spin polarized tunneling and magnetoresistance in ferromagnet/insulator (semiconductor) single and double tunnel junctions subjected to an electric field, Phys. Rev. B 56, 5484(1997).

【99】Xiangdong Zhang, Bozang Li and Fu-Cho Pu: Magnetic Excitation in the Hubbard-Hirsch Model, Phys. Rev. B 54, 44 (1996).

【100】Xiangdong Zhang, Youcheng Li, Xiaojun Kong and Chengwen Wei: Effect of the image potential on the Stark shift of exciton states in a quantum Well, Phys. Rev. B 49, 10432 (1994).