Chiral solitons in a non-linear model of helical molecules

Abstract

In this paper an effective integrable non-linear model describing the electron spin dynamics in a deformable helical molecule with weak spin-orbit coupling is presented. Non-linearity arises from the electron-lattice interaction and it enables the formation of a variety of stable solitons such as bright solitons, breathers and rogue waves, all of them presenting well defined spin projection onto the molecule axis. A thorough study of the soliton solutions is presented and discussed.

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Cited by in corpus (5)

• Charge Redistribution and Spin Polarization Driven by Correlation Induced Electron Exchange in Chiral Molecules
• Charge and Spin Dynamics and Enantioselectivity in Chiral Molecules
• Spin dynamics in helical molecules with non-linear interactions
• Spectral problem for a two-component nonlinear Schrödinger equation in $2+1$ dimensions: Singular manifold method and Lie point symmetries
• Derivative non-linear Schrödinger equation: Singular manifold method and Lie symmetries