Simulations in three dimensions of a Harris current sheet with mass ratio,
m(i)/m(e) = 180, and current sheet thickness, p(i)/L = 0.5, suggest the exi
stence of a linearly unstable oblique mode, which is independent from eithe
r the drift-kink or the tearing instability. The new oblique mode causes re
connection independently from the tearing mode. During the initial linear s
tage, the system is unstable to the tearing mode and the drift kink mode, w
ith growth rates that are accurately described by existing linear theories.
However, oblique modes are also linearly unstable, but with smaller growth
rates than either the tearing or the drift-kink mode. The non-linear stage
is first reached by the drift-kink mode, which alters the initial equilibr
ium and leads to a change in the growth rates of the tearing and oblique mo
des. In the nonlinear stage, the resulting changes in magnetic topology are
incompatible with a pure tearing mode. The oblique mode is shown to introd
uce a helical structure into the magnetic field lines.