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The spontaneous magnetization in Chern-Simons QED_3 is discussed in a finitetemperature system. The thermodynamical potential is analyzed within the weakfield approximation and in the fermion massless limit. We find that there is alinear term with respect to the magnetic field with a negative coefficient atany finite temperature. This implies that the spontaneous magnetic field doesnot vanish even at high temperature. In addition, we examine the photonspectrum in the system. We find that the bare Chern-Simons coefficient iscancelled by the radiative effects. The photons then become topologicallymassless according to the magnetization, though they are massive by finitetemperature effects. Thus the magnetic field is a long-range force without thescreening even at high temperature.Comment: 32 pages, Latex, 4 eps figure

Thermodynamic properties of spontaneous magnetization in three-dimensional Chern-Simons QED