Mode engineering in reconfigurable fractal topological circuits

He, Jiajun1; Jia, Hao1; Chen, Haoxiang1; Wang, Tao1; Liu, Shuo2; Cao, Jianjun3; Gao, Zhen4; Shang, Ce5,6; Cui, Tie Jun2

2024-06-06

10.1103/PhysRevB.109.235406

PHYSICAL REVIEW B   影响因子和分区

2469-9950

2469-9969

Circuits can provide a versatile platform for exploring new physics, particularly in probing the topological phases within complex geometries. Fractals, celebrated for their intricate, self-similar duality, and noninteger dimensions, particularly those embedded in complex manifolds, remain uncharted in this context. In our research, we implement Sierpinski fractal topological insulators within reconfigurable fractal topological circuits while expanding the scope to include the cylindrical and toroidal structures. Our approach is grounded in consistency theory and reinforced through experimental verification, confirming the presence of unconventional higher-order topological phenomena referring to the abundance of topological edge and corner modes. Intriguingly, the quantity of these edge and corner modes is proportional to the volume modes relative to the system size, with an exponent aligning with the Hausdorff fractal dimension of the Sierpinski carpet. This study paves the way for a deeper exploration of topological modes within fractal geometries, potentially unlocking new avenues in topological physics.

SCI ; EI

英语

其他

National Key Research and Development Program of China[2022YFA1404903] ; National Natural Sci- ence Foundation of China["61905101","62288101"]

Materials Science ; Physics

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

WOS:001241663100004

AMER PHYSICAL SOC

PHYSICS

Web of Science

1.Lanzhou Univ, Sch Phys Sci & Technol, Lanzhou 730000, Peoples R China
2.Southeast Univ, State Key Lab Millimeter Waves, Nanjing 210096, Peoples R China
3.Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
4.Southern Univ Sci & Technol, Dept Elect & Elect Engn, Shenzhen 518055, Peoples R China
5.Chinese Acad Sci, Aerosp Informat Res Inst, Beijing 100094, Peoples R China
6.King Abdullah Univ Sci & Technol, Phys Sci & Engn Div, Thuwal 239556900, Saudi Arabia

He, Jiajun,Jia, Hao,Chen, Haoxiang,et al. Mode engineering in reconfigurable fractal topological circuits[J]. PHYSICAL REVIEW B,2024,109(23).

He, Jiajun.,Jia, Hao.,Chen, Haoxiang.,Wang, Tao.,Liu, Shuo.,...&Cui, Tie Jun.(2024).Mode engineering in reconfigurable fractal topological circuits.PHYSICAL REVIEW B,109(23).

He, Jiajun,et al."Mode engineering in reconfigurable fractal topological circuits".PHYSICAL REVIEW B 109.23(2024).