We study the effect of weak disorder on the delocalization properties of gapped graphene superlattice (SL) formed by periodically located rectangular potential barriers. We consider two types of the SLs: the SLs with uniform and nonuniform gap. Using the perturbative approach we obtain an analytical expression for the inverse localization length (ILL) derived for the case of randomly fluctuating geometric and energetic parameters. In the first case, when the barrier (well) width fluctuates around its mean value, the corresponding equation for the ILL reveals the presence of the Fabry-Perot resonances, at which the localization length diverges. These resonances are exact, i.e., are stored in any degree of disorder. It has been found that the localization properties manifest stronger for the particles with energies lying in the non-resonant bands where our approach is extremely sensitive to the degree of disorder. For the case of weakly fluctuating both barrier and well widths we analytically obtain ILL taking correlations into account. The main effect of the correlations, which lead to an increase (or decrease) in the localization length, was revealed near the double resonance arising at coincidence of two Fabry-Perot resonances associated with barrier and well widths. The random fluctuations of the potential strength also lead to the delocalization resonances. However, they exist only in a weak-disorder approximation. We found that, for an array composed of alternating strips of gapless and gapped graphene modifications these resonances can appear only for normally incident particles in contrast to the SL with a uniform gap. For such particles, the delocalization resonances occur also in the purely random potential. This means, in particular, that in the one-dimensional case, not all the states of the massive Dirac particles are localized in the presence of weak disorder.
Electron Delocalization versus Emission Coherence of Quantum Dot Superlattices
National Gravitation Laboratory, MOE Key Laboratory of Fundamental Physical Quantities Measurement, and School of Physics, Huazhong University of Science and Technology（华中科技大学物理学院，引力教育部重点实验室，国家引力实验室）；Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology（华中科技大学物理学院，武汉光电国家研究中心）；Yunnan Key Laboratory of Ⅲ-Ⅴ Infrared Detectors, Kunming Institute of Physics（昆明物理研究所，云南省Ⅲ-Ⅴ族红外探测器重点实验室）
Parity- and Chirality-Selected Dirac Masses in Hybrid Moiré--1D Superlattices
Arts and Sciences, NYU Shanghai（纽约大学上海分校文理学院）；NYU-ECNU Institute of Physics at NYU Shanghai（纽约大学上海分校纽约大学-华东师范大学物理研究所）；Department of Physics, New York University（纽约大学物理系）；Department of Physics, Hanyang University（汉阳大学物理系）
(Sub)nanoscale Visualization of Reconstruction-Driven Moiré Exciton Localization and Delocalization
Molecular Foundry, Lawrence Berkeley National Laboratory（劳伦斯伯克利国家实验室分子发现中心）；School for Engineering of Matter, Transport and Energy, Arizona State University（亚利桑那州立大学物质、运输与能源工程学院）；Department of Physics, University of Texas at Austin（德克萨斯大学奥斯汀分校物理系）；National Institute for Materials Science（日本国立材料研究所）；Center for Nanophase Materials Sciences, Oak Ridge National Laboratory（橡树岭国家实验室纳米材料科学中心）；Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin（德克萨斯大学奥斯汀分校奥登计算工程与科学学院）；McKetta Department of Chemical Engineering, The University of Texas at Austin（德克萨斯大学奥斯汀分校麦凯塔化学工程系）；Kavli Energy NanoScience Institute, University of California Berkeley（加州大学伯克利分校卡弗里能源纳米科学研究所）；Jawaharlal Nehru Centre for Advanced Scientific Research（贾瓦哈拉尔·尼赫鲁高级科学研究中心）
Moiré Fractional Chern Insulators III: Hartree-Fock Phase Diagram, Magic Angle Regime for Chern Insulator States, the Role of the Moiré Potential and Goldstone Gaps in Rhombohedral Graphene Superlattices
