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On ($3,12^2$), ($4,6,12$) and ($4,8^2$) Archimedean lattices, the criticalproperties of majority-vote model are considered and studied using the Glaubertransition rate proposed by Kwak {\it et all.} [Phys. Rev. E, {\bf 75}, 061110(2007)] rather than the traditional majority-vote with noise [Jos\'e M\'ario deOliveira, J. Stat. Phys. {\bf 66}, 273 (1992)]. The critical temperature andthe critical exponents for this transition rate are obtained from extensiveMonte Carlo simulations and with a finite size scaling analysis. The calculatedvalues of the critical temperatures Binder cumulant are $T_c=0.363(2)$ and$U_4^*=0.577(4)$; $T_c=0.651(3)$ and $U_4^*=0.612(5)$; and $T_c=0.667(2)$ and$U_4^*=0.613(5)$ for ($3,12^2$), ($4,6,12$) and ($4,8^2$) lattices,respectively. The critical exponents $\beta/\nu$, $\gamma/\nu$ and $1/\nu$ forthis model are $0.237(6)$, $0.73(10)$, and $ 0.83(5)$; $0.105(8)$, $1.28(11)$,and $1.16(5)$; $0.113(2)$, $1.60(4)$, and $0.84(6)$ for ($3,12^2$), ($4,6,12$)and ($4,8^2$) lattices, respectively. These results differ from the usual Isingmodel results and the majority-vote model on so-far studied regular lattices orcomplex networks.

Majority-vote model on (3,12^2), (4,6,12) and (4,8^2) Archimedean lattices