There is nothing strange with negative current, the sign depends on which way the bias is applied. It is, I admit, a bit odd to see the sign change in the middle of the bias sweep, however. But when you consider the magnitude of the current, 1-e8 nA is equivalent to zero current for all practical purposes.
For your reference: first of all, only the relative bias between the electrodes is relevant. If you apply 1 V on each, it's equivalent to zero bias. Moreover, the electrons will be attracted to the positive terminal, so a HIGHER bias on the left means electrons travel right to left. But current is the same as positive charge flow, i.e. opposite to the electrons, so you will get a positive current (from left to right).