  The colored SU(2)-singlet heavy T-quark is one of the most crucial
ingredients in little Higgs models, which is introduced to cancel the largest
contribution of the SM top quark to the Higgs boson mass at one-loop level. In
two representative little Higgs models, the littlest Higgs model and the SU(3)
simplest Higgs model, we comprehensively study the single heavy T-quark
production at Large Hadron Collider (LHC). After presenting the possibility of
relatively light (~500 GeV) T-quark in the simplest little Higgs model, we
consider all the relevant processes, the 2->2 process of qb->q'T, the 2->3
process of qg->q'Tb, the s-channel process of q bar(q)'->T bar{b}, and the
gluon fusion process of gg->T bar{t}. We found that the 2->3 process can be
quite important, as its cross section is about 30% of the 2->2 one and it is
dominant in high p_T distributions. The s-channel and the gluon fusion
processes also show distinctive features in spite of their suppressed cross
sections. In the gluon fusion process of the simplest little Higgs model, for
example, the pseudo-scalar contribution is rather dominant over the Higgs
contribution for relatively light M_T.
