Unconventional superconductivity and topological quantum phenomena are two frontier research directions of condensed matter physics. A special topic published in 2016(5) issue of Science China Physics, Mechanics & Astronomy collected several works covering important progress in these two directions. Superconductivity was discovered in Hg in 1911 by the group of Kamerling Onnes in Leiden (Holland). The mystery of superconductivity was, however, not uncovered until 1957 when Bardeen-Cooper-Schrieffer (BCS) proposed the electron-phonon coupling picture. In the BCS picture, two electrons near the Fermi surface with opposite momenta and spins will form a bound state by exchanging phonons. Such charge carriers are called as Cooper pairs. Cooper pairs will condense into a low-energy state, which exhibits macroscopic phase coherence with, of course, the presence of a superfluid. The validity of this theory is, however, quite limited, and it cannot explain superconductivity in many unconventional superconductors, such as cuprates, iron pnictides, and iron selenides.
On the topic of unconventional superconductivity, four works were presented in this special collection. The first work  concerns the effect of impurity scattering on superconductivity in K2Cr3As3, an unconventional superconductor discovered in 2015 by the same group here. This superconductor may contain a one-dimensional superfluid channel and possess the rarely reported triplet superconductivity. The report by the group of Prof. Guang-Han Cao from Zhejiang University deals with the effect of impurity resulting from dopants, which may reveal the fundamental feature of the pairing manner. They found the suppression of superconductivity by non-magnetic impurities, which is consistent with a possible novel pairing gap with, for example, gap nodes. The second work  by the group of Prof. JianLin Luo of the Institute of Physics, Chinese Academy of Sciences, involves NMR studies of the recently discovered superconductor MnP under pressure. Superconductivity was discovered by the same group in MnP under pressure. The chiral magnetic state seems to be essential to the superconductivity in that system. Here, the authors put new efforts into this issue. The third work  is by Prof. Hai-Hu Wen's group from Nanjing University. Since the discovery of the superconductor (Li1?xFex)OHFeSe, the question remains as to whether the superconductivity is robust and has a full volume. Clearly, the authors report robust superconductivity and anisotropy of the newly discovered superconductor (Li1?xFex)OHFeSe. Using well-documented data and analysis, they concluded a full volume of superconductivity in this new superconductor. The fourth work  is by the group of Prof. ShiYan Li from Fudan University. They use elegant thermal transport measurements at very low temperatures to detect the superconducting gap structure of the new superconductor Ca10(Pt4??As8)((Fe1?xPtx)2As2)5 (Tc=22 K). They find strong evidence of a fully gapped feature, the gap structure of which is common with many other iron-based superconductors.
Finally, the special topic collected one paper  by the group of Prof. MingHu Fang from Zhejiang University on the transport properties of the theoretically predicted Weyl semimetal TaP. Weyl semimetal is a very hot topic involving interesting physics. The detailed and careful transport measurements reveal not only the features of a semimetal but also some evidence of the chiral feature of the electrons, such as the huge positive and negative magnetoresistance. This discovery will trigger further studies on the Weyl semimetal state.
See the articles:
1. Effect of impurity scattering on superconductivity in K2Cr3As3
Yi Liu, Jin-Ke Bao, Hao-Kun Zuo, Abduweli Ablimit, Zhang-Tu Tang, Chun-Mu Feng, Zeng-Wei Zhu, and Guang-Han Cao
Sci. China-Phys. Mech. Astron. 59, 657402 (2016)
2. 31P NMR study of magnetic phase transitions of MnP single crystal under 2 GPa pressure
GuoZhi Fan, Bo Zhao, Wei Wu, Ping Zheng, and JianLin Luo
Sci. China-Phys. Mech. Astron. 59, 657403 (2016)
3. Robust superconductivity and transport properties in (Li1-xFex)OHFeSe single crystals
Hai Lin, Jie Xing, XiYu Zhu, Huan Yang, and Hai-Hu Wen
Sci. China-Phys. Mech. Astron. 59, 657404 (2016)
4. Nodeless superconducting gaps in Ca10(Pt4-δAs8)((Fe1-xPtx)2As2)5 probed by quasiparticle heat transport
Xun Qiu, LanPo He, XiaoChen Hong, Zhen Zhang, Jian Pan, XiaoPing Shen, DongLai Feng, and ShiYan Li
Sci. China-Phys. Mech. Astron. 59, 657405 (2016)
5. Large unsaturated positive and negative magnetoresistance in Weyl semimetal TaP
JianHua Du, HangDong Wang, Qing Chen, QianHui Mao, Rajwali Khan, BinJie Xu, YuXing Zhou, YanNan Zhang, JinHu Yang, Bin Chen, ChunMu Feng, and MingHu Fang
Sci. China-Phys. Mech. Astron. 59, 657406 (2016)
Science China Press