Flux Phase of the Half-Filled Band
Flux Phase of the Half-Filled Band
The conjecture is verified that the optimum, energy minimizing, magnetic flux for a half-filled band of electrons hopping on a planar, bipartite graph is $\ensuremath{\pi}$ per square plaquette. We require only that the graph has periodicity in one direction and the result includes the hexagonal lattice (with flux 0 per …