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For the nonlinear Klein-Gordon type models, we describe a general method ofdiscretization in which the static kink can be placed anywhere with respect tothe lattice. These discrete models are therefore free of the {\it static}Peierls-Nabarro potential. Previously reported models of this type are shown tobelong to a wider class of models derived by means of the proposed method. Arelevant physical consequence of our findings is the existence of a wide classof discrete Klein-Gordon models where slow kinks {\it practically} do notexperience the action of the Peierls-Nabarro potential. Such kinks are nottrapped by the lattice and they can be accelerated by even weak externalfields.Comment: 6 pages, 2 figure

Discrete Klein–Gordon models with static kinks free of the Peierls–Nabarro potential