Quasiparticle heat transport in the mixed state of high $T_c$ superconductors

The field dependence of low-temperature thermal conductivity $\kappa (H)$ observed on cuprates is explained by calculating $\kappa (H)$ microscopically. The heat current carried by low-lying quasiparticles around a vortex core decreases with $H$ due to its depletion by the $H$-induced moment centered at a core for an underdoped case. This leads to a common and consistent picture on an ``anomalous core’'. $\kappa (H,T)$ is found to be a useful tool for probing quasiparticle structures in the mixed state in general.