Chiral solitons with W-shaped and other profiles in (1 + 2) dimensions

2022 ◽  
Vol 137 (1) ◽  
Author(s):  
K. S. Al-Ghafri ◽  
E. V. Krishnan ◽  
Ahmet Bekir
Keyword(s):  
2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Chang-geun Oh ◽  
Sang-Hoon Han ◽  
Seung-Gyo Jeong ◽  
Tae-Hwan Kim ◽  
Sangmo Cheon

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.


1992 ◽  
Vol 109 ◽  
pp. 19-44 ◽  
Author(s):  
Akizo Kobayashi ◽  
Hideharu Otsu ◽  
Toshiro Sato ◽  
Shoji Sawada
Keyword(s):  

2013 ◽  
Vol 88 (19) ◽  
Author(s):  
Barbara Bravo ◽  
Ariel Dobry ◽  
Diego Mastrogiuseppe ◽  
Claudio Gazza

1997 ◽  
Vol 359 (3) ◽  
pp. 305-314 ◽  
Author(s):  
Dmitri Diakonov ◽  
Victor Petrov ◽  
Maxim Polyakov
Keyword(s):  

1984 ◽  
Vol 30 (8) ◽  
pp. 1837-1838 ◽  
Author(s):  
Myron Bander ◽  
F. Hayot
Keyword(s):  

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