Spontaneous persistent currents in a quantum spin Hall insulator

We present a mechanism for persistent charge current. Quantum spin Hall insulators hold dissipationless spin currents in their edges so that, for a given spin orientation, a net charge current flows which is exactly compensated by the counterflow of the opposite spin. Here we show that ferromagnetic order in the edge upgrades the spin currents into persistent charge currents without applied fields. For that matter, we study the Hubbard model including Haldane-Kane-Mele spin-orbit coupling in a zigzag ribbon and consider the case of graphene. We find three electronic phases with magnetic edges that carry currents reaching 0.4 nA, comparable to persistent currents in metallic rings, for the small spin-orbit coupling in graphene. One of the phases is a valley half metal.

Current status of research on school refusal

School refusal behavior refers to the avoidance of a child attending school and/or persistent difficulty staying in the classroom throughout the school day. Based on a review of the scientific literature, the aim of this study is to describe the current state of research on school refusal, differentiating between the findings and progress made in Spain from those achieved in the international field. For this purpose, the significance of this phenomenon, in addition to associated risk factors and variables, will be reviewed in the child and youth population. In turn, the commonly used assessment methods and most recommended treatment proposals, mainly based on cognitive behavioral therapy, are discussed. The results reveal several gaps and subjects for debate in some areas of knowledge about school refusal behavior, with differences being found between Spanish and international studies. In conclusion, future studies and challenges in this field are required.