1. A memory for information, comprising: a first tunnel barrier; a memory material in contact with the first tunnel barrier and having a memory property that is changed by a write signal, the memory material comprising a second tunnel barrier; and electric contacting means for conducting a current through the first tunnel barrier; and wherein a change in the memory property results in a change in tunnel resistance for the current flowing through the first tunnel barrier; wherein the second tunnel barrier has tunnel resistance as a storage characteristic that is changeable by the write signal; and wherein the first tunnel barrier and the second tunnel barrier adjoin each other to form a combined tunnel barrier, and wherein a level of a conduction band edge between the first tunnel barrier and second tunnel barrier is changeable by the write signal; wherein positions of ions serving as the memory property are changed in the memory material by the write signal; and wherein the memory material comprises a solid electrolyte.