Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid
Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid
复制标题
基塔耶夫自旋液体中马约拉纳零模式的场驱动时空操纵
作者：
C. Harada;A. Ono;J. Nasu
Kitaev量子自旋液体具有两个分数准粒子：巡游Majorana费米子和定域介子。它为实现由视子激发捕获的Majorana零模提供了一个很有前途的平台。这种局域模的行为就像一个非阿贝尔任意子，能够应用于量子计算。然而，即使在原始的Kitaev模型中，创造、观察和操纵视子仍然具有挑战性。在这里，我们提出了一个理论来控制视子启用的Kitaev自旋液体中的随时间变化的局部磁场。研究磁态的时间演化，我们证明了一个vison遵循一个局部施加的场扫描系统。我们澄清，人们可以通过适当地选择局部场的速度和形状来移动伴随着马约拉纳零模式的视子。特别是，使用局域场的视子的可控性显示其强度的非线性行为，这源于马约拉纳费米子和视子之间的相互作用。目前的结果表明，巡回马约拉纳费米子以外的零模式发挥了至关重要的作用，在vison输运。我们的研究结果将为Kitaev量子自旋液体中Majorana零模的控制提供指导。
The Kitaev quantum spin liquid possesses two fractional quasiparticles, itinerant Majorana fermions and localized visons. It provides a promising platform for realizing a Majorana zero mode trapped by a vison excitation. This local mode behaves as a non-Abelian anyon capable of applications to quantum computation. However, creating, observing, and manipulating visons remain challenging even in the pristine Kitaev model. Here, we propose a theory to control visons enabled by a time-dependent local magnetic field in the Kitaev spin liquid. Examining the time evolution of the magnetic state, we demonstrate that a vison follows a locally applied field sweeping in the system. We clarify that one can move a vison accompanied by a Majorana zero mode by choosing the velocity and shape of the local field appropriately. In particular, the controllability of visons using local fields shows nonlinear behavior for its strength, which originates from interactions between Majorana fermions and visons. The present results suggest that itinerant Majorana fermions other than zero modes play a crucial role in vison transport. Our finding will offer a guideline for controlling Majorana zero modes in the Kitaev quantum spin liquid.