Exceptional Non-Abelian Topology in Multiband Non-Hermitian Systems

Guo, Cui-Xian; Chen, Shu; Ding, Kan; Hu, Haiping

doi:10.48550/arxiv.2210.17031

Cited by 2 publications

(2 citation statements)

References 73 publications

(141 reference statements)

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“…The non-Abelian band topology is also generated to fourband PT-symmetric systems [432], Floquet systems [426], non-Hermitian territory [425,450,451], nontrivial Euler insulators [423,434,[452][453][454] and so on. Notably, by introducing a nonzero second next-neighbor couplings in the acoustic Kagome lattice (see figure 31(e)), the so-called Euler insulator is formed with the gapped lowest band (see figure 31(f)) captured by a meronic Skymion texture (see figure 31(g)).…”

Section: Non-abelian Topological Statesmentioning

confidence: 99%

Topological phononic metamaterials

Zhu,

Deng,

Liu

et al. 2023

Rep. Prog. Phys.

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The concept of topological energy bands and their manifestations have been demonstrated in condensed matter systems as a fantastic paradigm toward unprecedented physical phenomena and properties that are robust against disorders. Recent years, this paradigm was extended to phononic metamaterials (including mechanical and acoustic metamaterials), giving rise to the discovery of remarkable phenomena that were not observed elsewhere thanks to the extraordinary controllability and tunability of phononic metamaterials as well as versatile measuring techniques. These phenomena include, but not limited to, topological negative refraction, topological `sasers' (i.e., the phononic analog of lasers), higher-order topological insulating states, non-Abelian topological phases, higher-order Weyl semimetal phases, Majorana-like modes in Dirac vortex structures and fragile topological phases with spectral flows. Here we review the developments in the field of topological phononic metamaterials from both theoretical and experimental perspectives with emphasis on the underlying physics principles. To give a broad view of topological phononics, we also discuss the synergy with non-Hermitian effects and cover topics including synthetic dimensions, artificial gauge fields, Floquet topological acoustics, bulk topological transport, topological pumping, and topological active matters as well as potential applications, materials fabrications and measurements of topological phononic metamaterials. Finally, we discuss the challenges, opportunities and future developments in this intriguing field and its potential impact on physics and materials science.

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Section: Non-abelian Topological Statesmentioning

confidence: 99%

Topological phononic metamaterials

Zhu,

Deng,

Liu

et al. 2023

Rep. Prog. Phys.

View full text Add to dashboard Cite

show abstract

“…Many classical optical and mechanical systems, electric circuits, open quantum systems, and single-particle Green functions with non-zero self-energy are described by non-Hermitian Hamiltonians or matrices [1,2]. Several unique features of non-Hermitian systems have been discovered, including PT symmetry [3][4][5][6][7][8][9][10][11][12], the non-Hermitian skin effect [13][14][15][16][17][18], and exceptional points [19][20][21][22][23][24][25][26][27][28][29]. These unique features lead to a variety of tantalizing effects and phenomena in non-Hermitian systems without Hermitian counterparts [30][31][32][33][34][35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%