  This work study the finite temperature effects of a mass dimension one
fermionic field, sometimes called Elko field. The equilibrium partition
function was calculated by means of the imaginary time formalism and the result
obtained was the same for a Dirac fermion field, even though the Elko field
does not satisfy a Dirac like equation. The high and low temperature limits
were obtained, and for the last case the degeneracy pressure due to Pauli
exclusion principle can be responsible for the dark matter halos around
galaxies to be greater than or of the same order of the galaxy radius. Also,
for a light particle of about $0.1$eV and a density of just 0.1 particle per
cubic centimeter, the value of the total dark matter mass due to Elko particles
is of the same order of a typical galaxy. Such a result satisfactorily explains
the dark matter as being formed just by Elko fermionic particles and also the
existence of galactic halos that go beyond the observable limit.
