Two-dimensional vertex-decorated Lieb lattice with exact mobility edges and robust flat bands

Wang，Yucheng1,2,3; Zhang，Long4; Wan，Yuhao5; He，Yu1,2,3; Wang，Yongjian6

2023-04-01

10.1103/PhysRevB.107.L140201

Physical Review B   影响因子和分区

2469-9950

2469-9969

The mobility edge (ME) that marks the energy separating extended and localized states is a most important concept in understanding the metal-insulator transition induced by disordered or quasiperiodic potentials. MEs have been extensively studied in three-dimensional disorder systems and one-dimensional quasiperiodic systems. However, the studies of MEs in two-dimensional (2D) systems are rare. Here, we propose a class of 2D vertex-decorated Lieb lattice models with quasiperiodic potentials only acting on the vertices of the Lieb lattice or extended Lieb lattices. By mapping these models to the 2D Aubry-André model, we obtain exact expressions of MEs and the localization lengths of localized states, and further demonstrate that the flat bands remain unaffected by the quasiperiodic potentials. Finally, we propose a highly feasible scheme to experimentally realize our model in a quantum dot array. Our results open the door to studying and realizing exact MEs and robust flat bands in 2D systems.

SCI ; EI

英语

NI论文

第一 ; 通讯

National Key R&D Program of China[2022YFA1405800] ; National Natural Science Foundation of China["12104205","62174076","92165210"] ; Key-Area Research and Development Program of Guangdong Province[2018B030326001] ; Guangdong Provincial Key Laboratory[2019B121203002] ; Huazhong University of Science and Technology[3004012191] ; Shenzhen Science and Technology Program[KQTD20200820113010023] ; NSFC[12061031]

Materials Science ; Physics

Materials Science, Multidisciplinary ; Physics, Applied ; Physics, Condensed Matter

WOS:000974608400001

AMER PHYSICAL SOC

20231914079844

Metal insulator boundaries ; Semiconductor insulator boundaries ; Semiconductor quantum dots

Semiconductor Devices and Integrated Circuits:714.2

PHYSICS

2-s2.0-85158916357

Scopus

1.Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
2.International Quantum Academy,Shenzhen,518048,China
3.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
4.School of Physics,Institute for Quantum Science and Engineering,Huazhong University of Science and Technology,Wuhan,430074,China
5.International Center for Quantum Materials,School of Physics,Peking University,Beijing,100871,China
6.School of Mathematical Sciences,Laboratory of Mathematics and Complex Systems,Moe,Beijing Normal University,Beijing,100875,China

Wang，Yucheng,Zhang，Long,Wan，Yuhao,et al. Two-dimensional vertex-decorated Lieb lattice with exact mobility edges and robust flat bands[J]. Physical Review B,2023,107(14).

Wang，Yucheng,Zhang，Long,Wan，Yuhao,He，Yu,&Wang，Yongjian.(2023).Two-dimensional vertex-decorated Lieb lattice with exact mobility edges and robust flat bands.Physical Review B,107(14).

Wang，Yucheng,et al."Two-dimensional vertex-decorated Lieb lattice with exact mobility edges and robust flat bands".Physical Review B 107.14(2023).