scholarly journals Topological Solitons Make Metamaterials Crawl

2022 ◽  
Vol 17 (1) ◽  
Author(s):  
Bolei Deng ◽  
Mohamed Zanaty ◽  
Antonio E. Forte ◽  
Katia Bertoldi
Keyword(s):  
Topological Solitons

scholarly journals Particle-antiparticle duality and fractionalization of topological chiral solitons

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Chang-geun Oh ◽  
Sang-Hoon Han ◽  
Seung-Gyo Jeong ◽  
Tae-Hwan Kim ◽  
Sangmo Cheon
Keyword(s):  
Chiral Symmetry ◽  
Time Reversal ◽  
Chiral Symmetry Breaking ◽  
Chain Model ◽  
Fractional Charge ◽  
Topological Solitons ◽  
Practical Applications ◽  
Topological System ◽  
Ssh Model ◽  
Chiral Solitons

AbstractAlthough a prototypical Su–Schrieffer–Heeger (SSH) soliton exhibits various important topological concepts including particle-antiparticle (PA) symmetry and fractional fermion charges, there have been only few advances in exploring such properties of topological solitons beyond the SSH model. Here, by considering a chirally extended double-Peierls-chain model, we demonstrate novel PA duality and fractional charge e/2 of topological chiral solitons even under the chiral symmetry breaking. This provides a counterexample to the belief that chiral symmetry is necessary for such PA relation and fractionalization of topological solitons in a time-reversal invariant topological system. Furthermore, we discover that topological chiral solitons are re-fractionalized into two subsolitons which also satisfy the PA duality. As a result, such dualities and fractionalizations support the topological $$\mathbb {Z}_4$$ Z 4 algebraic structures. Our findings will inspire researches seeking feasible and promising topological systems, which may lead to new practical applications such as solitronics.

scholarly journals From Center-Vortex Ensembles to the Confining Flux Tube

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 253
Author(s):  
David R. Junior ◽  
Luis E. Oxman ◽  
Gustavo M. Simões
Keyword(s):  
Degrees Of Freedom ◽  
String Tension ◽  
Effective Field ◽  
Scaling Properties ◽  
Flux Tubes ◽  
Topological Solitons ◽  
Yang Mills ◽  
Center Vortex ◽  
Asymptotic Scaling ◽  
The Continuum

In this review, we discuss the present status of the description of confining flux tubes in SU(N) pure Yang–Mills theory in terms of ensembles of percolating center vortices. This is based on three main pillars: modeling in the continuum the ensemble components detected in the lattice, the derivation of effective field representations, and contrasting the associated properties with Monte Carlo lattice results. The integration of the present knowledge about these points is essential to get closer to a unified physical picture for confinement. Here, we shall emphasize the last advances, which point to the importance of including the non-oriented center-vortex component and non-Abelian degrees of freedom when modeling the center-vortex ensemble measure. These inputs are responsible for the emergence of topological solitons and the possibility of accommodating the asymptotic scaling properties of the confining string tension.

scholarly journals CHARGED TOPOLOGICAL SOLITONS IN (4+1)-DIMENSIONAL YMCS THEORY

1992 ◽  
Vol 07 (27) ◽  
pp. 2469-2475
Author(s):  
C. S. AULAKH
Keyword(s):  
Electric Charge ◽  
Five Dimensions ◽  
Topological Solitons ◽  
Yang Mills ◽  
Chern Simons

We show that when a Chern-Simons term is added to the action of SU (N) (N≥3) Yang-Mills theory in five dimensions the usual self-dual topological solitons present in the theory necessarily pick up a (topological) electric charge.

Topological solitons, cnoidal waves and conservation laws of coupled wave equations

2013 ◽  
Vol 87 (12) ◽  
pp. 1233-1241 ◽  
Author(s):  
E. V. Krishnan ◽  
A. H. Kara ◽  
S. Kumar ◽  
A. Biswas
Keyword(s):  
Conservation Laws ◽  
Wave Equations ◽  
Cnoidal Waves ◽  
Topological Solitons ◽  
Coupled Wave Equations ◽  
Coupled Wave

scholarly journals Rice–Mele model with topological solitons in an optical lattice

2015 ◽  
Vol 17 (1) ◽  
pp. 013018 ◽  
Author(s):  
Anna Przysiężna ◽  
Omjyoti Dutta ◽  
Jakub Zakrzewski
Keyword(s):  
Optical Lattice ◽  
Topological Solitons

scholarly journals Chiral skyrmions in the plane

2014 ◽  
Vol 470 (2172) ◽  
pp. 20140394 ◽  
Author(s):  
Christof Melcher
Keyword(s):  
Nuclear Physics ◽  
Topological Charge ◽  
Energy Contribution ◽  
Promising Candidate ◽  
Linear Gradient ◽  
Topological Solitons ◽  
Zeeman Field ◽  
Continuum Theories ◽  
Least Energy ◽  
Moriya Interaction

Magnets without inversion symmetry are a prime example of a solid-state system featuring topological solitons on the nanoscale, and a promising candidate for novel spintronic applications. Magnetic chiral skyrmions are localized vortex-like structures, which are stabilized by antisymmetric exchange interaction, the so-called Dzyaloshinskii–Moriya interaction. In continuum theories, the corresponding energy contribution is, in contrast to the classical Skyrme mechanism from nuclear physics, of linear gradient dependence and breaks the chiral symmetry. In the simplest possible case of a ferromagnetic energy in the plane, including symmetric and antisymmetric exchange and Zeeman interaction, we show that the least energy in a class of fields with unit topological charge is attained provided the Zeeman field is sufficiently large.

scholarly journals Compactons and topological solitons of the Drinfel'd–Sokolov system

2014 ◽  
Vol 19 (2) ◽  
pp. 209-224
Author(s):  
Mustafa Inc ◽  
Eda Fendoglu ◽  
Houria Triki ◽  
Anjan Biswas
Keyword(s):  
Elliptic Function ◽  
Function Method ◽  
Soliton Solutions ◽  
Ansatz Method ◽  
Topological Soliton ◽  
Topological Solitons ◽  
Wave Solutions

This paper presents the Drinfel’d–Sokolov system (shortly D(m, n)) in a detailed fashion. The Jacobi’s elliptic function method is employed to extract the cnoidal and snoidal wave solutions. The compacton and solitary pattern solutions are also retrieved. The ansatz method is applied to extract the topological 1-soliton solutions of the D(m, n) with generalized evolution. There are a couple of constraint conditions that will fall out in order to exist the topological soliton solutions.

Dynamic topological solitons in a two-dimensional ferromagnet

1999 ◽  
Vol 88 (4) ◽  
pp. 833-843 ◽  
Author(s):  
A. A. Zhmudskii ◽  
B. A. Ivanov
Keyword(s):  
Two Dimensional ◽  
Topological Solitons

Topological Solitons and Instantons

1984 ◽  
pp. 289-315
Author(s):  
Masud Chaichian ◽  
Nikolai F. Nelipa
Keyword(s):  
Topological Solitons
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