Theoretical realization of two-dimensional Dirac/Weyl line-node and traversing edge states in penta-X2Y monolayers

2021 ◽  
Vol 23 ◽  
pp. 101057
Author(s):  
Lirong Wang ◽  
Lei Jin ◽  
Guodong Liu ◽  
Ying Liu ◽  
Xuefang Dai ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Edge States ◽  
Line Node

scholarly journals Schwarzian quantum mechanics as a Drinfeld-Sokolov reduction of BF theory

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Fridrich Valach ◽  
Donald R. Youmans
Keyword(s):  
Quantum Mechanics ◽  
Partition Function ◽  
Gauge Group ◽  
Path Integral ◽  
Coadjoint Orbits ◽  
Two Dimensional ◽  
Edge States ◽  
Class Constraint ◽  
Action Functional ◽  
Bf Theory

Abstract We give an interpretation of the holographic correspondence between two-dimensional BF theory on the punctured disk with gauge group PSL(2, ℝ) and Schwarzian quantum mechanics in terms of a Drinfeld-Sokolov reduction. The latter, in turn, is equivalent to the presence of certain edge states imposing a first class constraint on the model. The constrained path integral localizes over exceptional Virasoro coadjoint orbits. The reduced theory is governed by the Schwarzian action functional generating a Hamiltonian S1-action on the orbits. The partition function is given by a sum over topological sectors (corresponding to the exceptional orbits), each of which is computed by a formal Duistermaat-Heckman integral.

Dual-mode of topological rainbow in gradual photonic heterostructures

2021 ◽  
Author(s):  
Mingxing Li ◽  
Yueke Wang ◽  
Mengjia Lu ◽  
Tian Sang
Keyword(s):  
Finite Element Method ◽  
Finite Element Method Simulation ◽  
Two Dimensional ◽  
Edge States ◽  
Dual Mode ◽  
Strong Robustness ◽  
Mode Excitation ◽  
Simulation Results ◽  
Photonic States ◽  
Sandwiched Structure

Abstract In this letter, a method to realize the topological rainbow trapping is presented, which is composed of gradual ordinary-topological-ordinary heterostructures based on two-dimensional photonic crystals with C-4 symmetry. In the proposed sandwiched structure, the two coupled topological edge states with different frequencies are separated and trapped in different positions, due to group velocity of near to zero. We have achieved the dual-mode of topological rainbow in one structure, which broadens the bandwidth. Besides, the dual-mode of topological rainbow under one mode excitation is also realized by using a simple bend design. The immunity to defects is also investigated and it is found our slowing light system has strong robustness. Finite Element Method simulation results verify our idea, and our work opens up a new way for frequency routing and broadband operation of topological photonic states.

Two-dimensional Topological Photonic Crystals with Helical Edge States below the Light Line

2021 ◽  
Author(s):  
Chengkun Zhang ◽  
Hironobu Yoshimi ◽  
Yasutomo Ota ◽  
Satoshi Iwamoto
Keyword(s):  
Photonic Crystals ◽  
Two Dimensional ◽  
Edge States ◽  
Light Line

scholarly journals Edge states in the honeycomb reconstruction of two-dimensional silicon nanosheets

2019 ◽  
Vol 115 (2) ◽  
pp. 023102 ◽  
Author(s):  
Andrew J. Mannix ◽  
Timo Saari ◽  
Brian Kiraly ◽  
Brandon L. Fisher ◽  
Chia-Hsiu Hsu ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Edge States

scholarly journals Excitation to defect-bound band edge states in two-dimensional semiconductors and its effect on carrier transport

2019 ◽  
Vol 5 (1) ◽  
Author(s):  
Dan Wang ◽  
Dong Han ◽  
Damien West ◽  
Nian-Ke Chen ◽  
Sheng-Yi Xie ◽  
...  
Keyword(s):  
Carrier Transport ◽  
Band Edge ◽  
Two Dimensional ◽  
Edge States

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.

Two-dimensional ferroelastic topological insulator with tunable topological edge states in single-layer ZrAsX (X = Br and Cl)

2019 ◽  
Vol 7 (31) ◽  
pp. 9743-9747 ◽  
Author(s):  
Xiangting Hu ◽  
Ning Mao ◽  
Hao Wang ◽  
Chengwang Niu ◽  
Baibiao Huang ◽  
...  
Keyword(s):  
Topological Insulator ◽  
Single Layer ◽  
Two Dimensional ◽  
Edge States

Here we predict theoretically that topological edge states can be significantly tuned by switching the ferroelastic ordering in a two-dimensional (2D) topological insulator.

scholarly journals Edge states, corner states, and flat bands in a two-dimensional PT -symmetric system

2019 ◽  
Vol 100 (12) ◽  
Author(s):  
Akira Yoshida ◽  
Yuria Otaki ◽  
Rimako Otaki ◽  
Takahiro Fukui
Keyword(s):  
Symmetric System ◽  
Two Dimensional ◽  
Edge States ◽  
Flat Bands
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