论文标题
随机杂质对手性超导体异常霍尔效应的影响
Impact of random impurities on the anomalous Hall effect in chiral superconductors
论文作者
论文摘要
异常的大厅效应和密切相关的极性Kerr效应是某些超导体中手性库珀配对的最直接证据之一。尽管众所周知，这些效果通常需要疾病或多播配对，但缺乏关于疾病如何影响单波段和多型手性超导体的霍尔响应的直接空间研究。根据经常用于\ sro的手性超导模型，我们在这项工作中研究了在存在的无磁杂质对真实空间晶格的情况下的异常霍尔效应。单带性手性P-波（$ p_x+ip_y $）的计算定性地重现了以前的偏斜散射型素图分析中获得的霍尔电导率，以及一些定量差异，主要源自涉及杂质引起的Indrucy诱导的In-GAP状态的贡献。非p波性手性状态，例如$ d_ {x^2-y^2}+id_ {xy} $，通常在存在随机杂质的情况下表现出有限的霍尔响应，而与上述图表研究得出的结论相反。特别是，尽管指尖杂质似乎会在非自动一致的计算，自矛盾和有限范围的杂质潜能中引起微小的霍尔电导率，这都可以导致大量的霍尔电导率。另一方面，多播手性超导体中的固有霍尔电导率与带间过渡有关，随着疾病抑制超导级参数的抑制，参数降低。此外，我们检查是否随机杂质不会诱导非手续的霍尔效应，但时间反转对称性破坏超导次导体表示，$ s+i d_ d_ {x^2-y^2} $和$ d_ {x^2-y^2} $和$ d_ {x^2-y^2 y^2 Y^2}+i g_ g_ g_ g_ g_ g_ {xy（x^2-y^y^2）$。我们简要评论结果对KERR效应测量的影响。
The anomalous Hall effect and the closely related polar Kerr effect are among the most direct evidence of chiral Cooper pairing in some superconductors. While it has been known that disorder or multiband pairing is typically needed for these effects to manifest, there is a lack of direct real-space investigation with regard to how disorder impacts the Hall response in both single-band and multiband chiral superconductors. On the basis of chiral superconducting models often adopted for \SRO, we study in this work the anomalous Hall effect in the presence of random non-magnetic impurities on real-space lattices. The single-band chiral p-wave ($p_x+ip_y$) calculation qualitatively reproduces the Hall conductivity obtained in previous skew-scattering-type diagrammatic analyses, along with some quantitative difference originating primarily from contributions involving impurity-induced in-gap states. The non-p-wave chiral states, such as $d_{x^2-y^2}+id_{xy}$, generically exhibit finite Hall response in the presence of random impurities, in contrast to a conclusion drawn from the aforementioned diagrammatic study. In particular, while pointlike impurities appears to induce minuscule Hall conductivity in non-self-consistent calculations, self-consistency and finite-range impurity potentials can both lead to substantial Hall conductivity. On the other hand, the intrinsic Hall conductivity in multiband chiral superconductors, which is related to interband transitions, decreases parametrically as disorder suppresses the superconducting order parameter. In addition, we check that random impurities do not induce anomalous Hall effect in non-chiral but time-reversal symmetry breaking superconducting states the likes of $s+i d_{x^2-y^2}$ and $d_{x^2-y^2}+i g_{xy(x^2-y^2)}$. We briefly remark on the implications of our results for Kerr effect measurements.
