Impact of random impurities on the anomalous Hall effect in chiral superconductors

Liu, Hao-Tian1,2,3; Chen, Weipeng1,2,3; Huang, Wen1,2,3

2023-06-28

10.1103/PhysRevB.107.224517

PHYSICAL REVIEW B   影响因子和分区

2469-9950

2469-9969

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 Sr2RuO4, we study in this work the anomalous Hall effect in the presence of random nonmagnetic impurities on real-space lattices. The single-band chiral p-wave (px + ipy) calculation qualitatively reproduces the Hall conductivity obtained in previous skew-scattering-type diagrammatic analyses, along with some quantitative difference originating primarily from contributions involv-ing impurity-induced in-gap states. The non -p-wave chiral states, such as dx2-y2 + idxy, 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 appear to induce minuscule Hall conductivity in non-self-consistent calculations, self-consistency and finite-range impurity potentials can both lead to substantial Hall conductivity. However, 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 nonchiral but time-reversal symmetry breaking superconducting states the likes of s + idx2-y2 and dx2-y2 + igxy(x2-y2). We briefly remark on the implications of our results for Kerr effect measurements.

SCI ; EI

英语

第一 ; 通讯

NSFC[2019B121203002] ; Guangdong Provincial Key Laboratory[2022A1515011948] ; Guangdong Science and Technology Department[KQTD20200820113010023] ; null[11904155]

Materials Science ; Physics

Materials Science, Multidisciplinary ; Physics, Applied ; Physics, Condensed Matter

WOS:001055016100005

AMER PHYSICAL SOC

20232714356979

Hall effect ; Optical Kerr effect ; Seismic waves

Seismology:484 ; Electricity: Basic Concepts and Phenomena:701.1 ; Superconducting Materials:708.3 ; Light/Optics:741.1

PHYSICS

Web of Science

1.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Guangdong, Peoples R China
2.Int Quantum Acad, Shenzhen 518048, Peoples R China
3.Southern Univ Sci & Technol, Guangdong Prov Key Lab Quantum Sci & Engn, Shenzhen 518055, Peoples R China

Liu, Hao-Tian,Chen, Weipeng,Huang, Wen. Impact of random impurities on the anomalous Hall effect in chiral superconductors[J]. PHYSICAL REVIEW B,2023,107(22).

Liu, Hao-Tian,Chen, Weipeng,&Huang, Wen.(2023).Impact of random impurities on the anomalous Hall effect in chiral superconductors.PHYSICAL REVIEW B,107(22).

Liu, Hao-Tian,et al."Impact of random impurities on the anomalous Hall effect in chiral superconductors".PHYSICAL REVIEW B 107.22(2023).