Systems, apparatuses, and methods related to a memory device, such as a low-power dynamic random-access memory (DRAM) and an associated host device are described. The memory device and the host device can include control logic that enables the host device to transmit a burst value to the memory device, which may enable the memory device, the host, or both, to manage refresh operations during a normal operation mode or a self-refresh mode. The burst value can be transmitted to the memory device in association with a command (e.g., a command directing the memory device to enter the self-refresh mode). The burst value can specify a number of self-refresh operations to be initiated at the memory device in response to receiving the command. When the specified number of self-refresh operations are completed, regular self-refresh operations may begin, with an internal self-refresh timer counting an interval to the next self-refresh operation.