scholarly journals Dynamics on networks: competition of temporal and topological correlations

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Oriol Artime ◽  
José J. Ramasco ◽  
Maxi San Miguel
Keyword(s):  
Topological Correlations

scholarly journals Topological guided-mode resonances at non-Hermitian nanophotonic interfaces

Nanophotonics ◽  
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ki Young Lee ◽  
Kwang Wook Yoo ◽  
Youngsun Choi ◽  
Gunpyo Kim ◽  
Sangmo Cheon ◽  
...  
Keyword(s):  
Fundamental Study ◽  
One Dimensional ◽  
Guided Mode ◽  
Wall Structures ◽  
Potential Applications ◽  
Photonic Microstructures ◽  
Guided Mode Resonance ◽  
The One ◽  
Photonic Band ◽  
Topological Correlations

Abstract The topological properties of photonic microstructures are of great interest because of their experimental feasibility for fundamental study and potential applications. Here, we show that robust guided-mode-resonance states exist in photonic domain-wall structures whenever the complex photonic band structures involve certain topological correlations in general. Using the non-Hermitian photonic analogy of the one-dimensional Dirac equation, we derive essential conditions for photonic Jackiw-Rebbi-state resonances taking advantage of unique spatial confinement and spot-like spectral features which are remarkably robust against random parametric errors. Therefore, the proposed resonance configuration potentially provides a powerful method to create compact and stable photonic resonators for various applications in practice.

scholarly journals Field-induced double spin spiral in a frustrated chiral magnet

2019 ◽  
Vol 4 (1) ◽  
Author(s):  
Mahesh Ramakrishnan ◽  
Evan Constable ◽  
Andres Cano ◽  
Maxim Mostovoy ◽  
Jonathan S. White ◽  
...  
Keyword(s):  
Topological Defects ◽  
Electric Polarization ◽  
Fundamental Physics ◽  
Magnetic Systems ◽  
Long Wavelength ◽  
Double Spin ◽  
Potential Applications ◽  
Magnetic Skyrmions ◽  
Topological Correlations ◽  
Spin Spiral

AbstractMagnetic ground states with peculiar spin textures, such as magnetic skyrmions and multifunctional domains are of enormous interest for the fundamental physics governing their origin as well as potential applications in emerging technologies. Of particular interest are multiferroics, where sophisticated interactions between electric and magnetic phenomena can be used to tailor several functionalities. We report the direct observation of a magnetic field induced long-wavelength spin spiral modulation in the chiral compound Ba$${}_{3}$$3TaFe$${}_{3}$$3Si$${}_{2}$$2O$${}_{14}$$14, which emerges out of a helical ground state, and is hallmarked by the onset of a unique chirality-dependent contribution to the bulk electric polarization. The periodicity of the field-induced modulation, several hundreds of nm depending on the field value, is comparable to the length scales of mesoscopic topological defects such as skyrmions, merons, and solitons. The phase transition and observed threshold behavior are consistent with a phenomenology based on the allowed Lifshitz invariants for the chiral symmetry of langasite, which intriguingly contain all the essential ingredients for the realization of topologically stable antiferromagnetic skyrmions. Our findings open up new directions to explore topological correlations of antiferromagnetic spintronic systems based on non-collinear magnetic systems with additional ferroic functionalities.

Topological correlations of three-dimensional grains

2012 ◽  
Vol 101 (4) ◽  
pp. 041910 ◽  
Author(s):  
Hao Wang ◽  
Guoquan Liu ◽  
Asad Ullah ◽  
Junhua Luan
Keyword(s):  
Three Dimensional ◽  
Topological Correlations

Topological correlations in cellular structures and planar graph theory

1992 ◽  
Vol 69 (18) ◽  
pp. 2674-2677 ◽  
Author(s):  
C. Godrèche ◽  
I. Kostov ◽  
I. Yekutieli
Keyword(s):  
Graph Theory ◽  
Planar Graph ◽  
Cellular Structures ◽  
Topological Correlations

Long-range topological correlations of real polycrystalline grains in two dimensions

2014 ◽  
Vol 97 ◽  
pp. 178-182 ◽  
Author(s):  
Hao Wang ◽  
Guoquan Liu ◽  
Ying Chen ◽  
Arkapol Saengdeejing ◽  
Hideo Miura ◽  
...  
Keyword(s):  
Long Range ◽  
Two Dimensions ◽  
Topological Correlations
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