“…Later, the match/ mismatch mechanism is found to be effective to realize thermal rectification in anharmonic lattices with a mass gradient in the Fermi-Pasta-Ulam model 3 and a junction of two nonlinear lattices in the Frenkel-Kontorova model 4,5 . The Thermal rectification has been realized mainly based on heat conduction 1,[6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] , besides phasechange material 23 , natural convection 1 , radiation 24 , evaporation and condensation 25 . Among these mechanisms, conduction-based thermal rectification shows great promise for phononics 26 and have been widely studied with nanoscale materials 6,11,15,[18][19][20][21][22] as well as bulk materials [8][9][10]12,16,17 via temperature-controlled locomotion 10 , mass loading 11 , heterogeneous junctions 6,8,9,12,[14]…”