The magnetic phase diagrams, and other physical characteristics, of th
e hole-doped La2-xSrxCuO4 and electron-doped Nd2-xCexCuO4 high-tempera
ture superconductors are profoundly different. Given that it is envisa
ged that the simplest Hamiltonians describing these systems are the sa
me, viz., the t-t'-J model, this is surprising. Here we relate these p
hysical differences to their ground states' single-hole quasiparticles
, the spin distortions they produce, and the spatial distribution of c
arriers for the multiply doped systems. As is well known, the low dopi
ng limit of the hole-doped material corresponds to k = (pi/2, pi/2) qu
asiparticles, states that generate so-called Shraiman-Siggia long-rang
ed dipolar spin distortions via backflow. These quasiparticles have be
en proposed to lead to an incommensurate spiral phase, an unusual scal
ing of the magnetic susceptibility, as well as the scaling of the corr
elation length defined by xi(-1)(x, T) = xi(-1)(x, 0) + xi(-1)(0, T),
all consistent with experiment. We suggest that for the electron-doped
materials the single-hole ground state corresponds to k = (pi, 0) qua
siparticles; we show that the spin distortions generated by such carri
ers are shortranged. Then, we demonstrate the effect of this single-ca
rrier difference in many-carrier ground states via exact diagonalizati
on results by evaluating S(q) for up to four carriers in small cluster
s. Consistent with experiment, for the hole-doped materials short-rang
ed incommensurate spin orderings are induced, whereas for the electron
-doped system only commensurate spin correlations are found. Further,
we propose that there is an important difference between the spatial d
istributions of mobile carriers for these two systems: for the hole-do
ped material the quasiparticles tend to stay far apart from one anothe
r, whereas for the electron-doped material we find tendencies consiste
nt with the clustering of carriers, and possibly of low-energy fluctua
tions into an electronic phase-separated state. Phase separation in th
is material is consistent with the midgap states found by recent angle
-resolved photoemission spectroscopy studies. Last, we propose the ext
rapolation of an approach based on the t-t'-J model to the hole-doped
123 system.