Hermitian and non-hermitian topological edge states in one-dimensional perturbative elastic metamaterials

2022 ◽  
Vol 169 ◽  
pp. 108774
Author(s):  
Haiyan Fan ◽  
He Gao ◽  
Shuowei An ◽  
Zhongming Gu ◽  
Shanjun Liang ◽  
...  
Keyword(s):  
Edge States ◽  
One Dimensional ◽  
Elastic Metamaterials

scholarly journals Epitaxial Growth of Quasi-One-Dimensional Bismuth-Halide Chains with Atomically Sharp Topological Non-Trivial Edge States

ACS Nano ◽  
2021 ◽  
Author(s):  
Jincheng Zhuang ◽  
Jin Li ◽  
Yundan Liu ◽  
Dan Mu ◽  
Ming Yang ◽  
...  
Keyword(s):  
Epitaxial Growth ◽  
Edge States ◽  
One Dimensional

scholarly journals Topological phase transition between a normal insulator and a topological metal state in a quasi-one-dimensional system

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Milad Jangjan ◽  
Mir Vahid Hosseini
Keyword(s):  
Phase Transition ◽  
Dimensional System ◽  
Inversion Symmetry ◽  
Topological Phase ◽  
Edge States ◽  
Zero Energy ◽  
One Dimensional ◽  
Topological Phase Transition ◽  
Metal State ◽  
Topological Metal

AbstractWe theoretically report the finding of a new kind of topological phase transition between a normal insulator and a topological metal state where the closing-reopening of bandgap is accompanied by passing the Fermi level through an additional band. The resulting nontrivial topological metal phase is characterized by stable zero-energy localized edge states that exist within the full gapless bulk states. Such states living on a quasi-one-dimensional system with three sublattices per unit cell are protected by hidden inversion symmetry. While other required symmetries such as chiral, particle-hole, or full inversion symmetry are absent in the system.

scholarly journals Systematic Investigation of the Coupling between One-Dimensional Edge States of a Topological Crystalline Insulator

2021 ◽  
Vol 126 (23) ◽  
Author(s):  
Johannes Jung ◽  
Artem Odobesko ◽  
Robin Boshuis ◽  
Andrzej Szczerbakow ◽  
Tomasz Story ◽  
...  
Keyword(s):  
Systematic Investigation ◽  
Edge States ◽  
One Dimensional ◽  
Topological Crystalline Insulator

scholarly journals One-Dimensional Edge States with Giant Spin Splitting in a Bismuth Thin Film

2015 ◽  
Vol 114 (6) ◽  
Author(s):  
A. Takayama ◽  
T. Sato ◽  
S. Souma ◽  
T. Oguchi ◽  
T. Takahashi
Keyword(s):  
Thin Film ◽  
Spin Splitting ◽  
Edge States ◽  
One Dimensional

Scattering of edge states in quasi-one-dimensional periodic systems

1994 ◽  
Vol 202 (1-2) ◽  
pp. 91-103
Author(s):  
J. Cohen ◽  
Y. Avishai
Keyword(s):  
Periodic Systems ◽  
Edge States ◽  
One Dimensional

scholarly journals Edge States and Topological Phases in One-Dimensional Optical Superlattices

2012 ◽  
Vol 108 (22) ◽  
Author(s):  
Li-Jun Lang ◽  
Xiaoming Cai ◽  
Shu Chen
Keyword(s):  
Topological Phases ◽  
Edge States ◽  
One Dimensional

scholarly journals Electronic transport in one-dimensional Floquet topological insulators via topological and nontopological edge states

2020 ◽  
Vol 101 (15) ◽  
Author(s):  
Niclas Müller ◽  
Dante M. Kennes ◽  
Jelena Klinovaja ◽  
Daniel Loss ◽  
Herbert Schoeller
Keyword(s):  
Electronic Transport ◽  
Topological Insulators ◽  
Edge States ◽  
One Dimensional

scholarly journals Bulk-edge correspondence and long-range hopping in the topological plasmonic chain

Nanophotonics ◽  
2019 ◽  
Vol 8 (8) ◽  
pp. 1337-1347 ◽  
Author(s):  
Simon R. Pocock ◽  
Paloma A. Huidobro ◽  
Vincenzo Giannini
Keyword(s):  
Long Range ◽  
Metallic Nanoparticles ◽  
Nearest Neighbour ◽  
Edge States ◽  
Physical Treatment ◽  
Bulk Properties ◽  
One Dimensional ◽  
Measure Of Symmetry ◽  
Dipolar System ◽  
Desirable Trait

AbstractThe existence of topologically protected edge modes is often cited as a highly desirable trait of topological insulators. However, these edge states are not always present. A realistic physical treatment of long-range hopping in a one-dimensional dipolar system can break the symmetry that protects the edge modes without affecting the bulk topological number, leading to a breakdown in bulk-edge correspondence (BEC). Hence, it is important to gain a better understanding of where and how this occurs, as well as how to measure it. Here we examine the behaviour of the bulk and edge modes in a dimerised chain of metallic nanoparticles and in a simpler non-Hermitian next-nearest-neighbour model to provide some insights into the phenomena of bulk-edge breakdown. We construct BEC phase diagrams for the simpler case and use these ideas to devise a measure of symmetry-breaking for the plasmonic system based on its bulk properties. This provides a parameter regime in which BEC is preserved in the topological plasmonic chain, as well as a framework for assessing this phenomenon in other systems.

scholarly journals Tunable super- and subradiant boundary states in one-dimensional atomic arrays

2019 ◽  
Vol 2 (1) ◽  
Author(s):  
Anwei Zhang ◽  
Luojia Wang ◽  
Xianfeng Chen ◽  
Vladislav V. Yakovlev ◽  
Luqi Yuan
Keyword(s):  
Long Range ◽  
Quantum States ◽  
Two Dimensional ◽  
Edge States ◽  
Quantum Metrology ◽  
One Dimensional ◽  
Topological Quantum ◽  
Long Range Interactions ◽  
Boundary States ◽  
Quantum Optical

AbstractEfficient manipulation of quantum states is a key step towards applications in quantum information, quantum metrology, and nonlinear optics. Recently, atomic arrays have been shown to be a promising system for exploring topological quantum optics and robust control of quantum states, where the inherent nonlinearity is included through long-range hoppings. Here we show that a one-dimensional atomic array in a periodic magnetic field exhibits characteristic properties associated with an effective two-dimensional Hofstadter-butterfly-like model. Our work points out super- and sub-radiant topological edge states localized at the boundaries of the atomic array despite featuring long-range interactions, and opens an avenue of exploring an interacting quantum optical platform with synthetic dimensions.

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