节线半金属中的Imbert-Fedorov位移
Imbert-Fedorov Shift in Nodal-Line Semimetals
摘要: 我们研究结线半金属(nodal-line semimetal, NLSM)电子在阶跃势垒界面上的散射所产生的Imbert-Fedorov (IF)横向位移。考虑含质量项Δ的两带有效模型，其法向动量由界面势垒决定。由于其特殊的轮胎形费米面，从而在反射端出现两束反射波。我们分别采用(1) 波包中心方法与(2) 基于Berry曲率的半经典方法计算各反射束的IF位移，并给出两种方法在绝热散射条件下的等价性。
Abstract: We investigate the Imbert-Fedorov (IF) transverse shift arising from the scattering of electrons in a nodal-line semimetal (NLSM) at a step-like potential barrier interface. We consider an effective two-band model with a mass term Δ, where the in-plane momentum is conserved while the normal momentum is determined by the interfacial barrier. Owing to the characteristic torus-like Fermi surface of NLSMs, two reflected beams can emerge on the reflection side. We calculate the IF shift for each reflected beam using (1) the wave-packet center (stationary-phase) approach and (2) a semiclassical approach based on Berry curvature, and demonstrate the equivalence of the two methods in the adiabatic scattering regime. This framework provides a unified starting point for systematically exploring how the mass term and incident energy control the IF shift through numerical parameter scans.
文章引用：潘荣华, 罗威. 节线半金属中的Imbert-Fedorov位移[J]. 应用物理, 2026, 16(2): 70-80. https://doi.org/10.12677/app.2026.162007

参考文献

[1] Fedorov, F.I. (1955) Kteorii polnogo otrazheniya. Doklady Akademii Nauk SSSR, 105, 465-468.
[2] Imbert, C. (1972) Calculation and Experimental Proof of the Transverse Shift Induced by Total Internal Reflection of a Circularly Polarized Light Beam. Physical Review D, 5, 787-796. [Google Scholar] [CrossRef] 
[3] Onoda, M., Murakami, S. and Nagaosa, N. (2004) Hall Effect of Light. Physical Review Letters, 93, Article ID: 083901. [Google Scholar] [CrossRef] [PubMed]
[4] Bliokh, K.Y., Niv, A., Kleiner, V. and Hasman, E. (2008) Geometrodynamics of Spinning Light. Nature Photonics, 2, 748-753. [Google Scholar] [CrossRef] 
[5] Armitage, N.P., Mele, E.J. and Vishwanath, A. (2018) Weyl and Dirac Semimetals in Three-Dimensional Solids. Reviews of Modern Physics, 90, Article ID: 015001. [Google Scholar] [CrossRef] 
[6] Jiang, Q., Jiang, H., Liu, H., Sun, Q. and Xie, X.C. (2015) Topological Imbert-Fedorov Shift in Weyl Semimetals. Physical Review Letters, 115, Article ID: 156602. [Google Scholar] [CrossRef] [PubMed]
[7] Yang, S.A., Pan, H. and Zhang, F. (2015) Chirality-dependent Hall Effect in Weyl Semimetals. Physical Review Letters, 115, Article ID: 56603. [Google Scholar] [CrossRef] [PubMed]
[8] Wang, L. and Jian, S. (2017) Imbert-Fedorov Shift in Weyl Semimetals: Dependence on Monopole Charge and Intervalley Scattering. Physical Review B, 96, Article ID: 115448. [Google Scholar] [CrossRef] 
[9] Fang, C., Weng, H., Dai, X. and Fang, Z. (2016) Topological Nodal Line Semimetals. Chinese Physics B, 25, Article ID: 117106. [Google Scholar] [CrossRef] 
[10] Burkov, A.A., Hook, M.D. and Balents, L. (2011) Topological Nodal Semimetals. Physical Review B, 84, Article ID: 235126. [Google Scholar] [CrossRef] 
[11] Yu, R., Weng, H., Fang, Z., Dai, X. and Hu, X. (2015) Topological Node-Line Semimetal and Dirac Semimetal State in Antiperovskite Cu3 PdN. Physical Review Letters, 115, Article ID: 036807. [Google Scholar] [CrossRef] [PubMed]
[12] Weng, H., Liang, Y., Xu, Q., Yu, R., Fang, Z., Dai, X., et al. (2015) Topological Node-Line Semimetal in Three-Dimensional Graphene Networks. Physical Review B, 92, Article ID: 045108. [Google Scholar] [CrossRef] 
[13] Li, C., Wang, C.M., Wan, B., Wan, X., Lu, H. and Xie, X.C. (2018) Rules for Phase Shifts of Quantum Oscillations in Topological Nodal-Line Semimetals. Physical Review Letters, 120, Article ID: 146602. [Google Scholar] [CrossRef] [PubMed]
[14] Chan, Y., Chiu, C., Chou, M.Y. and Schnyder, A.P. (2016) Ca3P2 and Other Topological Semimetals with Line Nodes and Drumhead Surface States. Physical Review B, 93, Article ID: 205132. [Google Scholar] [CrossRef] 
[15] Bzdušek, T., Wu, Q., Rüegg, A., Sigrist, M. and Soluyanov, A.A. (2016) Nodal-Chain Metals. Nature, 538, 75-78. [Google Scholar] [CrossRef] [PubMed]
[16] Schoop, L.M., Ali, M.N., Straßer, C., Topp, A., Varykhalov, A., Marchenko, D., et al. (2016) Dirac Cone Protected by Non-Symmorphic Symmetry and Three-Dimensional Dirac Line Node in Zrsis. Nature Communications, 7, Article No. 11696. [Google Scholar] [CrossRef] [PubMed]
[17] Hu, J., Zhu, Y.L., Graf, D., Tang, Z.J., Liu, J.Y. and Mao, Z.Q. (2017) Quantum Oscillation Studies of the Topological Semimetal Candidate ZrGe M(M = S, Se, Te). Physical Review B, 95, Article ID: 205134. [Google Scholar] [CrossRef] 
[18] An, L., Zhu, X., Gao, W., Wu, M., Ning, W. and Tian, M. (2019) Chiral Anomaly and Nontrivial Berry Phase in the Topological Nodal-Line Semimetal SrAs3. Physical Review B, 99, Article ID: 045143. [Google Scholar] [CrossRef] 
[19] Zhou, T., Tong, M., Xie, X., Yu, Y., Zhu, X., Wang, Z., et al. (2020) Quantum Transport Signatures of a Close Candidate for a Type II Nodal-Line Semimetal. The Journal of Physical Chemistry Letters, 11, 6475-6481. [Google Scholar] [CrossRef] [PubMed]
[20] Chen, W., Luo, K., Li, L. and Zilberberg, O. (2018) Proposal for Detecting Nodal-Line Semimetal Surface States with Resonant Spin-Flipped Reflection. Physical Review Letters, 121, Article ID: 166802. [Google Scholar] [CrossRef] [PubMed]
[21] Chen, W., Lu, H. and Zilberberg, O. (2019) Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological Effects. Physical Review Letters, 122, Article ID: 196603. [Google Scholar] [CrossRef] [PubMed]
[22] Luo, W., Chen, W. and Xing, D. (2021) Anomalous Andreev Reflection on a Torus-Shaped Fermi Surface. Science China Physics, Mechanics & Astronomy, 64, Article ID: 267262. [Google Scholar] [CrossRef] 
[23] Chen, W. and Lado, J.L. (2019) Interaction-Driven Surface Chern Insulator in Nodal Line Semimetals. Physical Review Letters, 122, Article ID: 016803. [Google Scholar] [CrossRef] [PubMed]
[24] Zhang, X., Fu, B., Jin, L., Dai, X., Liu, G. and Yao, Y. (2019) Topological Nodal Line Electrides: Realization of an Ideal Nodal Line State Nearly Immune from Spin-Orbit Coupling. The Journal of Physical Chemistry C, 123, 25871-25876. [Google Scholar] [CrossRef] 
[25] Xu, Q., Yu, R., Fang, Z., Dai, X. and Weng, H. (2017) Topological Nodal Line Semimetals in the CaP3 Family of Materials. Physical Review B, 95, Article ID: 045136. [Google Scholar] [CrossRef] 
[26] Xiao, D., Chang, M. and Niu, Q. (2010) Berry Phase Effects on Electronic Properties. Reviews of Modern Physics, 82, 1959-2007. [Google Scholar] [CrossRef] 
[27] Lodge, M.S., Chang, G., Huang, C., Singh, B., Hellerstedt, J., Edmonds, M.T., et al. (2017) Observation of Effective Pseudospin Scattering in ZrSiS. Nano Letters, 17, 7213-7217. [Google Scholar] [CrossRef] [PubMed]
[28] Uykur, E., Maulana, L.Z., Schoop, L.M., Lotsch, B.V., Dressel, M. and Pronin, A.V. (2019) Magneto-Optical Probe of the Fully Gapped Dirac Band in ZrSiS. Physical Review Research, 1, Article ID: 032015. [Google Scholar] [CrossRef] 

为你推荐