Abstract
We propose a new mechanism of exchange interaction between the solitons related with the presence of localized fermions. Since the Atiyah-Patodi-Singer index theorem implies that such modes always exist for any topological soliton, their appearance may significantly alter the usual pattern of interaction. We elaborate this possibility considering, as a particular example, the chiral magnetic skyrmions coupled to spin-isospin fermions. It is shown that there are sequences of fermionic modes localized on the skyrmions. We investigate the additional effect of exchange interaction between the soltions with localized fermionic modes and demonstrate the existence of a stable system of magnetic skyrmions bounded by the strong attractive interaction mediated by the chargeless fermions.
Highlights
Since the discovery of the solitons in the early 1960s, these particlelike configurations have been intensively studied in various frameworks in a wide variety of physical systems
Solitons are relevant to numerous areas of physics; they naturally arise in condensed matter physics, classical and quantum field theories, cosmology, biology, nuclear physics, and other disciplines
In our numerical simulations we find the spectrum of the corresponding Hamiltonian and show that, there are various spin-isospin fermionic modes localized on a chiral magnetic skyrmion
Summary
We propose a new mechanism of exchange interaction between the solitons related with the presence of localized fermions. Since the Atiyah-Patodi-Singer index theorem implies that such modes always exist for any topological soliton, their appearance may significantly alter the usual pattern of interaction. We elaborate this possibility considering, as a particular example, the chiral magnetic skyrmions coupled to spin-isospin fermions. It is shown that there are sequences of fermionic modes localized on the skyrmions. We investigate the additional effect of exchange interaction between the soltions with localized fermionic modes and demonstrate the existence of a stable system of magnetic skyrmions bounded by the strong attractive interaction mediated by the chargeless fermions
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
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
