scholarly journals Edge states in a honeycomb lattice: Effects of anisotropic hopping and mixed edges

2010 ◽  
Vol 81 (15) ◽  
Author(s):  
Hari P. Dahal ◽  
Zi-Xiang Hu ◽  
N. A. Sinitsyn ◽  
Kun Yang ◽  
A. V. Balatsky
Keyword(s):  
Honeycomb Lattice ◽  
Edge States ◽  
Lattice Effects

scholarly journals Variation of Topological Edge States of 2D Honeycomb Lattice Photonic Crystals

2020 ◽  
Vol 14 (9) ◽  
pp. 2000202
Author(s):  
Yuchen Peng ◽  
Bei Yan ◽  
Jianlan Xie ◽  
Exian Liu ◽  
Hang Li ◽  
...  
Keyword(s):  
Photonic Crystals ◽  
Honeycomb Lattice ◽  
Edge States

scholarly journals Orbital Edge States in a Photonic Honeycomb Lattice

2017 ◽  
Vol 118 (10) ◽  
Author(s):  
M. Milićević ◽  
T. Ozawa ◽  
G. Montambaux ◽  
I. Carusotto ◽  
E. Galopin ◽  
...  
Keyword(s):  
Honeycomb Lattice ◽  
Edge States

scholarly journals Zero modes and edge states of the honeycomb lattice

2007 ◽  
Vol 76 (20) ◽  
Author(s):  
Mahito Kohmoto ◽  
Yasumasa Hasegawa
Keyword(s):  
Honeycomb Lattice ◽  
Edge States ◽  
Zero Modes

scholarly journals Direct observation of photonic Landau levels and helical edge states in strained honeycomb lattices

2020 ◽  
Vol 9 (1) ◽  
Author(s):  
Omar Jamadi ◽  
Elena Rozas ◽  
Grazia Salerno ◽  
Marijana Milićević ◽  
Tomoki Ozawa ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Symmetry Breaking ◽  
Distinctive Feature ◽  
Direct Evidence ◽  
Landau Levels ◽  
Honeycomb Lattice ◽  
Edge States ◽  
Photonic Lattices ◽  
Synthetic Magnetic Field

Abstract We report the realization of a synthetic magnetic field for photons and polaritons in a honeycomb lattice of coupled semiconductor micropillars. A strong synthetic field is induced in both the s and p orbital bands by engineering a uniaxial hopping gradient in the lattice, giving rise to the formation of Landau levels at the Dirac points. We provide direct evidence of the sublattice symmetry breaking of the lowest-order Landau level wavefunction, a distinctive feature of synthetic magnetic fields. Our realization implements helical edge states in the gap between n = 0 and n = ±1 Landau levels, experimentally demonstrating a novel way of engineering propagating edge states in photonic lattices. In light of recent advances in the enhancement of polariton–polariton nonlinearities, the Landau levels reported here are promising for the study of the interplay between pseudomagnetism and interactions in a photonic system.

scholarly journals Zero modes, energy gap, and edge states of anisotropic honeycomb lattice in a magnetic field

2009 ◽  
Vol 80 (12) ◽  
Author(s):  
Kenta Esaki ◽  
Masatoshi Sato ◽  
Mahito Kohmoto ◽  
Bertrand I. Halperin
Keyword(s):  
Magnetic Field ◽  
Energy Gap ◽  
Honeycomb Lattice ◽  
Edge States ◽  
Zero Modes

scholarly journals Unidirectional edge states in topological honeycomb-lattice membrane photonic crystals

2017 ◽  
Vol 25 (19) ◽  
pp. 23293 ◽  
Author(s):  
P. Duke Anderson ◽  
Ganapathi Subramania
Keyword(s):  
Photonic Crystals ◽  
Honeycomb Lattice ◽  
Edge States

scholarly journals Topological plasmonic edge states in a planar array of metallic nanoparticles

Nanophotonics ◽  
2019 ◽  
Vol 8 (5) ◽  
pp. 799-806 ◽  
Author(s):  
Mostafa Honari-Latifpour ◽  
Leila Yousefi
Keyword(s):  
High Frequency ◽  
Metallic Nanoparticles ◽  
Honeycomb Lattice ◽  
Optical Frequency ◽  
Edge States ◽  
Nanophotonic Devices ◽  
Back Scattering ◽  
Planar Array ◽  
Bulk Band ◽  
Operation Frequency

AbstractPhotonic topological insulators (PTIs) are electromagnetic structures with highly robust unidirectional edge states, originating from their nontrivial bulk band topology. Here, we propose a plasmonic PTI that supports highly confined one-way edge states capable of transporting deep subwavelength optical frequency plasmons through arbitrary paths without back-scattering. The structure consists of a simple planar array of coupled plasmonic nanoparticles arranged in a perturbed honeycomb lattice that exhibits nontrivial band topology. The operation frequency of the emergent edge states is shown to be independent of the lattice constant, allowing for the miniaturization of the structure. As a high-frequency PTI with a simple and planar design, this structure is compatible with well-established integrated nanofabrication technologies and may find application in planar, compact, and topologically robust integrated nanophotonic devices.

Ferromagnetic dual topological insulator in a two-dimensional honeycomb lattice

2020 ◽  
Vol 7 (9) ◽  
pp. 2431-2438
Author(s):  
Hao Wang ◽  
Ning Mao ◽  
Chengwang Niu ◽  
Shiying Shen ◽  
Myung-Hwan Whangbo ◽  
...  
Keyword(s):  
Hall Effect ◽  
Topological Insulator ◽  
Topological Insulators ◽  
Anomalous Hall Effect ◽  
Topological Invariant ◽  
Honeycomb Lattice ◽  
Two Dimensional ◽  
Edge States ◽  
Quantum Anomalous Hall Effect ◽  
Significant Attention

Magnetic topological insulators (TIs), including the quantum anomalous Hall effect and antiferromagnetic TIs, have attracted significant attention owing to the exotic properties they give rise to, however, ferromagnetic TIs with gapless surface/edge states and a nonzero topological invariant have not been reported so far.

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