Silicene undergoes various topological phases under the interplay of intrinsic spin-orbit coupling,perpendicular electric field,and off-resonant light.It is proposed that the abundant topological phases can be distinguished by measuring the Nernst conductivity even at room temperature,and their phase boundaries can be determined by differentiating the charge and spin Nernst conductivities.By modulating the electric and light fields,pure spin polarized,valley polarized,and even spin-valley polarized Nernst currents can be generated.Due to Nernst conductivity is zero for linear polarized light,silicene can act as an optically controlled spin and valley field-effect transistor.Similar investigations can be extended from silicene to germanene and stanene,a comparison is made for the anomalous thermomagnetic figure of merits between them.These results will facilitate potential applications in spin and valley caloritronics.