Ising superconductors with in-plane upper critical fields several times higher than the Pauli limits have been discovered in transition metal dichacogenides such as MoS2 and NbSe2 thin films [1-3]. These Ising superconductors have very strong Ising spin-orbit couplings (SOC), in the order of 10 to 100meV, which pin electron spins to the out-of-plane directions. This is in contrast to Rashba SOC which pins electron spins to in-plane directions. Here, we explain how Ising SOC can enhance the in-plane upper critical field of Ising superconductors [1-3] and be used to create Majorana fermions [4]. We will also discuss a spin-triplet nodal superconducting phase in gated MoS2. At the end of the talk, I will discuss a new mechanism of valley Hall effect induced by Ising and Rashba SOC. We call this effect spin valley Hall effect [5].

1. J. M. Lu, O. Zeliuk, I. Leermakers, Noah F. Q. Yuan, U. Zeitler, K. T. Law and J. T. Ye, Science 350, 1353 (2015).

2. X. Xi, Z. Wang, W. Zhao, J-H Park, K. T. Law, H. Berger, L. Forró, J. Shan, K. F. Mak, Nature Physics 12, 139-143 (2016).

3. Y Saito et al. Nature Physics 12, 144-149 (2016).

4. Benjamin T. Zhou, Noah F.Q. Yuan, Hong-Liang Jiang and K. T. Law, Phys. Rev. B 93, 180501 R (2016).

5. Benjamin T. Zhou, Katsuhisa Taguchi, Yuki Kawaguchi, Yukio Tanaka, K. T. Law arXiv:1712.02942.

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