Sliding door having a door leaf, which sliding door comprises: - a brake element for braking the door leaf, - an adjustment device designed to switch the brake element over from a braking position in which the door leaf is being braked, to a release position in which the door leaf is not being braked, and vice versa from the release position to the braking position, and - a motorized drive unit which is designed to cooperate with the adjustment device and to allow the brake element to be adjusted, - wherein the motorized drive unit is able to displace the door leaf optionally in the direction of the closed position of the door leaf and optionally in the direction of the open position of the door leaf, and - the adjustment device comprises a strand-shaped or rod-shaped brake adjusting unit, in particular in the form of a brake rod, a brake tube, a cable or wire, which is connected to the brake element and which in the case of a displacement in its longitudinal direction transfers the brake element from the braking position into the release position or vice versa, characterized in that - the adjustment device has a displaceable driver unit, in particular in the form of a driver slide, which by displacement transversely, in particular vertically, to the longitudinal direction of the brake adjusting unit, is able to displace, in particular lift or lower, the brake adjusting unit in the longitudinal direction, - the motorized drive unit, the adjustment device, the door leaf and a stop on the door leaf side are arranged such that - the motorized drive unit, when started up to adjust the door leaf, initially displaces the displaceable driver unit transversely to the longitudinal direction of the brake adjusting unit and relative to the door leaf, whereby the brake element is transferred from the braking position into the release position and namely until the driver unit strikes against the stop on the door leaf side, and - after the driver unit comes to bear against the stop the drive force of the motorized drive unit is transmitted to the door leaf and the door leaf is displaced via the driver unit bearing against the stop, - the motorized drive unit comprises a drive roller, in particular in the form of a friction roller, which bears against the driver unit at least during operation of the motorized drive unit and is set in rotational motion for adjusting the adjustment device and the door leaf, - wherein the drive roller, when rotated by friction and/or a positive connection, initially leads to a sliding movement of the driver unit relative to the door leaf and subsequently, after the driver unit strikes against the stop of the door leaf, leads to a common sliding movement of the driver unit and the door leaf. - a brake element for braking the door leaf, - an adjustment device designed to switch the brake element over from a braking position in which the door leaf is being braked, to a release position in which the door leaf is not being braked, and vice versa from the release position to the braking position, and - a motorized drive unit which is designed to cooperate with the adjustment device and to allow the brake element to be adjusted, - wherein the motorized drive unit is able to displace the door leaf optionally in the direction of the closed position of the door leaf and optionally in the direction of the open position of the door leaf, and - the adjustment device comprises a strand-shaped or rod-shaped brake adjusting unit, in particular in the form of a brake rod, a brake tube, a cable or wire, which is connected to the brake element and which in the case of a displacement in its longitudinal direction transfers the brake element from the braking position into the release position or vice versa, - the adjustment device has a displaceable driver unit, in particular in the form of a driver slide, which by displacement transversely, in particular vertically, to the longitudinal direction of the brake adjusting unit, is able to displace, in particular lift or lower, the brake adjusting unit in the longitudinal direction, - the motorized drive unit, the adjustment device, the door leaf and a stop on the door leaf side are arranged such that - the motorized drive unit, when started up to adjust the door leaf, initially displaces the displaceable driver unit transversely to the longitudinal direction of the brake adjusting unit and relative to the door leaf, whereby the brake element is transferred from the braking position into the release position and namely until the driver unit strikes against the stop on the door leaf side, and - after the driver unit comes to bear against the stop the drive force of the motorized drive unit is transmitted to the door leaf and the door leaf is displaced via the driver unit bearing against the stop, - the motorized drive unit comprises a drive roller, in particular in the form of a friction roller, which bears against the driver unit at least during operation of the motorized drive unit and is set in rotational motion for adjusting the adjustment device and the door leaf, - wherein the drive roller, when rotated by friction and/or a positive connection, initially leads to a sliding movement of the driver unit relative to the door leaf and subsequently, after the driver unit strikes against the stop of the door leaf, leads to a common sliding movement of the driver unit and the door leaf.