论文标题

二元性和域墙动力学在扭曲的基塔夫链中

Duality and domain wall dynamics in a twisted Kitaev chain

论文作者

Morris, C. M., Desai, Nisheeta, Viirok, J., Huvonen, D., Nagel, U., Room, T., Krizan, J. W., Cava, R. J., McQueen, T. M., Koohpayeh, S. M., Kaul, Ribhu K., Armitage, N. P.

论文摘要

横向场中的Ising链是用于多种物理现象的范式模型,包括自发对称性破坏,拓扑缺陷,量子关键性和二元性。尽管已提出的准1D Ferromagnet conb $ _2 $ o $ _6 $是横向场Ising模型的最佳实质示例,但它表现出与理想性的显着偏差。通过THZ光谱和理论的结合,我们表明,conb $ _2 $ o $ _6 $实际上是通过具有强债券相互作用的不同模型很好地描述的,我们将{\ it Twisted Kitaev Chain}配音,因为这些相互作用与强度与强化的hearnycombeneycomb kitycomb kitycomevs相吻合。在此模型中,conb $ _2 $ o $ _6 $的铁磁基态源于两个不同的交替轴之间的折衷,而不是一个简单的轴。由于这种挫败感,即使在零应用的田间域,壁激励具有量子运动,这是由著名的su-schriefer-heeger模型的聚乙二烯模型描述的。这导致了丰富的行为与场的关系。尽管有异常的域壁动力学,但接近关键的横向场,扭曲的基塔夫链仍进入伊辛普遍性类别的普遍状态。这反映了这样的观察结果,即conb $ _2 $ o $ $ _6 $中的激发差距以准确的速度约束了Paramagnet的两倍。这起源于域壁和旋转式纸条之间的二元性以及域壁平价的拓扑保护。我们测量了这个通用比率`2'与高精度 - 在自然界中kramers-wannier二元性的第一个直接证据。

The Ising chain in transverse field is a paradigmatic model for a host of physical phenomena, including spontaneous symmetry breaking, topological defects, quantum criticality, and duality. Although the quasi-1D ferromagnet CoNb$_2$O$_6$ has been put forward as the best material example of the transverse field Ising model, it exhibits significant deviations from ideality. Through a combination of THz spectroscopy and theory, we show that CoNb$_2$O$_6$ in fact is well described by a different model with strong bond dependent interactions, which we dub the {\it twisted Kitaev chain}, as these interactions share a close resemblance to a one-dimensional version of the intensely studied honeycomb Kitaev model. In this model the ferromagnetic ground state of CoNb$_2$O$_6$ arises from the compromise between two distinct alternating axes rather than a single easy axis. Due to this frustration, even at zero applied field domain-wall excitations have quantum motion that is described by the celebrated Su-Schriefer-Heeger model of polyacetylene. This leads to rich behavior as a function of field. Despite the anomalous domain wall dynamics, close to a critical transverse field the twisted Kitaev chain enters a universal regime in the Ising universality class. This is reflected by the observation that the excitation gap in CoNb$_2$O$_6$ in the ferromagnetic regime closes at a rate precisely twice that of the paramagnet. This originates in the duality between domain walls and spin-flips and the topological conservation of domain wall parity. We measure this universal ratio `2' to high accuracy -- the first direct evidence for the Kramers-Wannier duality in nature.

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