Finite Heat Conduction in a 2D Disorder Lattice

Recently, the thermal conductivity in disordered chains has attracted a lot of attention, including the discussion of the disorder anharmonic and harmonic chains. A natural problem concerns the higher-dimensional disordered lattice system. This paper gives a 2D harmonic lattice model with missing bond defects. When the defect density is large enough, a temperature gradient builds up and a finite heat conduction is found in this model.