Thermal Hall conductivity of a valence bond solid phase in the square lattice $J_1$-$J_2$ antiferromagnet Heisenberg model with a Dzyaloshinskii-Moriya interaction

Lucas S. Buzo, R. L. Doretto

We calculate the thermal Hall conductivity $\hat{I}{º}_{xy}$ for the columnar valence-bond solid phase of a two-dimensional frustrated antiferromagnet. In particular, we consider the squar…