  A family of self-consistent collisionless distribution functions for the
force-free Harris sheet is presented. This family includes the distribution
function recently found by Harrison and Neukirch [Phys. Rev. Lett. 102, 135003
(2009)] as well as distribution functions with a different dependence on the
particle energy, but with the same dependence on the canonical momenta. It is
shown generally that the other distribution functions in the family give rise
to the same pressure function and thus to the same current density and magnetic
field as the known distribution function, provided certain conditions on the
parameters are satisfied. A number of examples of distribution functions from
the new family are given, which illustrate the use of the general method.
