“…Valley degrees of freedom (DOF), also known as valley pseudospins, mark discrete extreme energy states in the momentum space [ 1 , 2 , 3 , 4 , 5 ]. Valley pseudospin appears widely not only in conventional semiconductor materials, but also in classical wave artificial crystals, such as phononic crystals [ 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 ] and photonic crystals (PhCs) [ 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 ]. Similar to the spin DOF in spintronics, the valley DOF is regarded as a new information carrier [ 18 , 23 , 24 ] and provides a more effective method of dealing with the nontrivial topological phase [ 21 , 22 , 23 , 24 , 25 ] which makes valley topological photonics become a research field in the current frontier.…”