  We show that lightly doped holes will be self-trapped in an antiferromagnetic
spin background at low-temperatures, resulting in a spontaneous translational
symmetry breaking. The underlying Mott physics is responsible for such novel
self-localization of charge carriers. Interesting transport and dielectric
properties are found as the consequences, including large doping-dependent
thermopower and dielectric constant, low-temperature variable-range-hopping
resistivity, as well as high-temperature strange-metal-like resistivity, which
are consistent with experimental measurements in the high-T$_c$ cuprates.
Disorder and impurities only play a minor and assistant role here.
