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We show that there is a new mechanism for nonmonotonous behavior of magneticfield dependence of the electronic thermal conductivity of cleansuperconductors with nodes of the order parameter on the Fermi surface. Inparticular, for unitary scatterers the nonmonotony of relaxation time takesplace. Contribution from the intervortex space turns out to be essential forthis effect even at low temperatures. Our results are in a qualitativeagreement with recent experimental data for superconducting UPt_3. ForE_{2u}-type of pairing we find approximately the scaling of the thermalconductivity in clean limit with a single parameter x=T/T_c\sqrt{B_{c2}/B} atlow fields and low temperatures, as well as weak low-temperature dependence ofthe anisotropy ratio K_{zz}/K_{yy} in zero field. For E_{1g}-type of pairingdeviations from the scaling are more noticeable and the anisotropy ratio isessentially temperature dependent.Comment: 37 pages, 8 Postscript figures, REVTE

Nonmonotonic magnetic-field dependence and scaling of the thermal conductivity for superconductors with nodes of the order parameter