Quantum-Geometry-Induced Anomalous Hall Effect in Nonunitary Superconductors and Application to Sr2RuO4

Zhang, Jia-Long1,2; Chen, Weipeng2,3,4; Liu, Hao-Tian2,3,4; Li, Yu5,6; Wang, Zhiqiang7,8; Huang, Wen2,3,4

2024-03-26

10.1103/PhysRevLett.132.136001

PHYSICAL REVIEW LETTERS   影响因子和分区

0031-9007

1079-7114

The polar Kerr effect and the closely related anomalous charge Hall effect are among the most distinguishing signatures of the superconducting state in Sr2RuO4, as well as in several other compounds. These effects are often thought to be derived from chiral superconducting pairing, and different mechanisms have been invoked for the explanation. However, the intrinsic mechanisms proposed previously often involve unrealistically strong interband Cooper pairing. We show in this Letter that, even without interband pairing, nonunitary superconducting states can support the intrinsic anomalous charge Hall effect, thanks to the quantum geometric properties of the Bloch electrons. The key here is to have a normal-state spin Hall effect, for which a nonzero spin-orbit coupling is essential. A finite charge Hall effect then naturally arises at the onset of a spin-polarized nonunitary superconducting pairing. It depends on both the spin polarization and the normal-state electron Berry curvature, the latter of which is the imaginary part of the quantum geometric tensor of the Bloch states. Applying our results to the weakly paired Sr2RuO4 we conclude that, if the reported Kerr effect is of intrinsic origin, the superconducting state is most likely nonunitary and has odd parity. Our theory may be generalized to other superconductors that exhibit the polar Kerr effect.

SCI ; EI

英语

通讯

NSFC["11904155","12374042"] ; Guangdong Science and Technology Department[2022A1515011948] ; Shenzhen Science and Technology Program[KQTD20200820113010023] ; Guangdong Provincial Key Laboratory[2019B121203002] ; Fundamental Research Funds for the Central Universities[E2E44305] ; NSFC/RGC joint research scheme[N_HKUST611/19]

Physics

Physics, Multidisciplinary

WOS:001202259300003

AMER PHYSICAL SOC

PHYSICS

Web of Science

1.Hong Kong Univ Sci & Technol, Dept Phys, Hong Kong, Peoples R China
2.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Guangdong, Peoples R China
3.Int Quantum Acad, Shenzhen 518048, Peoples R China
4.Southern Univ Sci & Technol, Guangdong Prov Key Lab Quantum Sci & Engn, Shenzhen 518055, Peoples R China
5.Henan Acad Sci, Inst Quantum Mat & Phys, Zhengzhou 450046, Henan, Peoples R China
6.Univ Chinese Acad Sci, Kavli Inst Theoret Sci, Beijing 100190, Peoples R China
7.Univ Chicago, Dept Phys, Chicago, IL 60637 USA
8.Univ Chicago, James Franck Inst, Chicago, IL 60637 USA

Zhang, Jia-Long,Chen, Weipeng,Liu, Hao-Tian,et al. Quantum-Geometry-Induced Anomalous Hall Effect in Nonunitary Superconductors and Application to Sr2RuO4[J]. PHYSICAL REVIEW LETTERS,2024,132(13).

Zhang, Jia-Long,Chen, Weipeng,Liu, Hao-Tian,Li, Yu,Wang, Zhiqiang,&Huang, Wen.(2024).Quantum-Geometry-Induced Anomalous Hall Effect in Nonunitary Superconductors and Application to Sr2RuO4.PHYSICAL REVIEW LETTERS,132(13).

Zhang, Jia-Long,et al."Quantum-Geometry-Induced Anomalous Hall Effect in Nonunitary Superconductors and Application to Sr2RuO4".PHYSICAL REVIEW LETTERS 132.13(2024).