The present invention provides devices and methods for the cryogenic storage of biological material. Devices of the invention are useful for storing material at a cryogenic temperature. The devices include a temperature chamber defined by a thermally-conductive container and at least one layer of thermal insulation surrounding the thermally-conductive container. Some embodiments utilize one or more heat sources thermally connected to the thermally conductive container. Other embodiments are arranged so that no net flow of heat occurs from the temperature chamber when the temperature chamber is at a set target temperature. Also provided are methods of using the devices.