Abstract
Although 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 algebraic structures. Our findings will inspire researches seeking feasible and promising topological systems, which may lead to new practical applications such as solitronics.
Highlights
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
We find the possible PA dualities and symmetries among topological chiral solitons using two classes of fundamental charge-conjugation operators combined with nonsymmorphic operators
There are twelve topological chiral solitons that connect two of four groundstates and the interchain coupling induces dynamical chiral symmetry breaking leading to three types of topological chiral solitons: RC, LC, and AC-solitons (Fig. 1b)
Summary
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. The famous Su-Schrieffer-Heeger (SSH) soliton manifests a variety of important concepts including Thouless topological charge pumping, fractional charge, particleantiparticle (PA) symmetry and spin-charge s eparation[2,3,4,5,6,7] Such exotic properties and potential applications have stimulated many studies: conducting polymers[7], diatomic chain model[8], fractionalized domain wall excitations in 1D chain and wire[9,10], acoustic experimental system[11], realization of Zak phase and topological charge pumping in the cold atom s ystem[12,13,14], topological photonic crystal nanocavity lasers using SSH edge m ode[15,16,17], artificially engineered SSH lattices[18,19], and topological quaternary operation using chiral s oliton[20,21]. Solitons, which allows that RC- and LC-solitons with the opposite quantum numbers can be pair created and pair annihilated; the second one provides the self PA duality to an achiral (AC-) soliton being its own antiparticle like
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
