O的评论。Entin-Wohlman，A. Aharony和Y.内海，在我们的论文S。瓦雷拉岛桑布拉诺湾Berche，V. Mujica，and E. Medina，Phys. Rev. B 101，241410（R）（2020）提出了一些与我们模型的有效性有关的观点，特别是根据Bardarson定理的解释：“在时间反演对称性和半整数自旋的存在下，两端散射矩阵的传输本征值以（Kramers）简并对的形式出现”。该评论的作者首先提出了自旋活动区中波函数的解析式，并继续表明所得到的传输不显示自旋依赖性，推理自旋依赖性将违反Bardarson的断言。在这里，我们清楚地表明，所提出的假设从一开始就假设自旋动量独立，因此只是解决了无自旋粒子的问题。然后，我们找到适当的本征函数考虑自旋-动量耦合，并表明所得到的频谱服从巴达尔森定理。最后，我们表明，允许的波矢量是在原来的文件中假设的，因此原来的结论如下。我们认识到，在我们的论文中，在螺旋线上的局部坐标中写的哈密顿量看似简单，并提供了如何写的表达式，以更公开地传达所涉及的物理学。自旋极化和扭矩之间的关系变得清晰，正如我们的论文中所描述的。这一反应是一个非常重要的澄清有关的影响巴达尔森定理的可能性自旋极化在一维系统中的线性制度。
英文摘要：
The comment by O. Entin-Wohlman, A. Aharony, and Y. Utsumi, on our paper S. Varela, I. Zambrano, B. Berche, V. Mujica, and E. Medina, Phys. Rev. B 101, 241410(R) (2020) makes a few points related to the validity of our model, especially in the light of the interpretation of Bardarson's theorem: "in the presence of time reversal symmetry and for half-integral spin the transmission eigenvalues of the two terminal scattering matrix come in (Kramers) degenerate pairs". The authors of the comment first propose an ansatz for the wave function in the spin active region and go on to show that the resulting transmission does not show spin dependence, reasoning that spin dependence would violate Bardarson's assertion. Here we clearly show that the ansatz presented assumes spin-momentum independence from the outset and thus just addresses the spinless particle problem. We then find the appropriate eigenfunction contemplating spin-momentum coupling and show that the resulting spectrum obeys Bardarson's theorem. Finally we show that the allowed wavevectors are the ones assumed in the original paper and thus the original conclusions follow. We recognize that the Hamiltonian in our paper written in local coordinates on a helix was deceptively simple and offer the expressions of how it should be written to more overtly convey the physics involved. The relation between spin polarization and torque becomes clear, as described in our paper. This response is a very important clarification in relation to the implications of Bardarson's theorem concerning the possibility of spin polarization in one dimensional systems in the linear regime.
Comment on "Tunnel Window's Imprint on Dipolar Field Distributions"
在最近的一封信中，Alonso et al.（Phys. Rev. Lett. 87，097205（2001））给出了用于相互作用偶极子的蒙特卡罗模拟。短时弛豫是由简单的噪声场引起的，均匀地作用在小宽度的“能量窗口”上（以模拟波动的核自旋偏置）。然而，隧穿纳米磁体或磁性分子（以及“隧穿孔”形成）的整体的隧穿弛豫的物理是不同的，在这里我们讨论这一点。
