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首页> 外文期刊>Journal of Experimental and Theoretical Physics >Electron Polarization Solitons in a Helical Molecule
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Electron Polarization Solitons in a Helical Molecule

机译：螺旋分子中的电子偏振孤子

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The evolution of the spin of an electron moving along the axis of a long helical molecule under the action of an external field is investigated. The field is produced by the dipoles of individual molecules forming a complex molecular structure (e.g., a DNA molecule). The electron polarization dynamics associated with the spin-orbit interaction is described using an integrable generalization of the Manakov equations. The phase cross-modulation, self-modulation, and analogs of the Rashba and Dresselhaus Hamiltonians are taken into account in the model Hamiltonian. The corresponding apparatus based on the solution of the Riemann-Hilbert problem is used for obtaining soliton solutions. The resultant one- and two-soliton solutions demonstrate a number of new properties. It is shown that a local perturbation produces a selective effect on the soliton polarization and can be used for controlling the position of the electron spin using impurity molecules or quantum dots with a constant dipole moment. It is found that the spin-orbit interaction leads to a strong spatial modulation of the soliton shape. The collision of solitons leads to modulation transfer between solitons and a change in the modulation amplitude.
机译：研究了在外部场的作用下沿着长螺旋分子的轴线沿着长螺旋分子的轴线旋转的旋转。该田地由形成复杂分子结构（例如DNA分子）的单个分子的偶极子产生。使用Manakov方程的可完全广义来描述与旋转轨道交互相关的电子偏振动力学。在Model Hamiltonian中考虑了Rashba和Tresselhaus Hamiltonians的相位交叉调制，自我调制和类似物。基于Riemann-Hilbert问题解决方案的相应装置用于获得孤子解决方案。所得到的单个和双孤子解决方案展示了许多新属性。结果表明，局部扰动产生对孤子偏振的选择性效果，并且可用于控制电子旋转的位置使用杂质分子或量子点具有恒定的偶极矩。发现旋转轨道相互作用导致孤子形状的强空间调制。孤子的碰撞导致孤子之间的调制转移和调制幅度的变化。

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