Phase diagrams of pi-flux quantum spin liquid in kagome lattice

We study possible phase transitions between spin liquids and magnetically ordered states of quantum spin ice in a pyrochlore lattice. Focusing on a Kagome layer in the presence of [111] magnetic field, the modified ice rule enables the effective action to be expressed in the language of compact U(1) gauge theory. While Ising interaction defines the ground-state manifold, the spin-filp term is mapped to hopping of gauge charge after perturbation. In particular, for frustrated J, the gauge charge experiences pi-flux around the hexagon built from the triangular plaquette. Analyzing the action, the phase diagram is developed which exhibits U(1) spin liquid and out of this phase. We will also compare our results with previous relevant experiments and quantum
Monte-carlo simulations.