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Cooper Pairing in A Doped 2D Antiferromagnet with Spin-Orbit Coupling
Jingxiang Zhao1, Qiang Gu2,3
1Department of Physics, University of Science and Technology Beijing, Beijing, 100083, P. R. China.
Scientific Reports
|January 19, 2018
Summary
Spin-orbit coupling in the Hubbard model suppresses antiferromagnetism and induces anisotropic magnetic susceptibility. It favors s+p-wave Cooper pairing, contrasting with s+d-wave pairing without spin-orbit coupling.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Materials Science
Background:
- The two-dimensional Hubbard model is a fundamental model for understanding strongly correlated electron systems.
- Spin-orbit coupling is crucial for many exotic quantum phenomena in materials.
Purpose of the Study:
- To investigate the effects of Rashba type spin-orbit coupling on the two-dimensional Hubbard model.
- To examine antiferromagnetic order and Cooper pairing near half-filling.
Main Methods:
- Mean-field theory and beyond.
- Random-phase approximation (RPA).
- Analysis of magnetic susceptibility and spin fluctuations.
Main Results:
- Spin-orbit coupling suppresses antiferromagnetic order and induces magnetic anisotropy.
- Effective interactions between holes mediated by spin fluctuations are deduced.
- Transverse spin fluctuation spectra are calculated.
Conclusions:
- Spin-orbit coupling promotes s+p-wave Cooper pairing.
- In the absence of spin-orbit coupling, s+d-wave pairing is dominant.
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