A memcapacitor according to an embodiment includes a first electrode, a first dielectric layer provided on the first electrode, a plurality of variable resistance portions provided separately from each other on the first dielectric layer, a second dielectric layer provided on the first dielectric layer and between the variable resistance portions, and a second electrode provided on the variable resistance portions and the second dielectric layer. Each of the variable resistance portions is formed of a material that allows diffusion of metal atoms constituting the second electrode to inside of the variable resistance portion, and the second dielectric layer is formed of a material that prevents diffusion of the metal atoms constituting the second electrode to inside of the second dielectric layer.
Please help me write a proper abstract based on the patent claims. CLAIM: 1. A memcapacitor comprising: a first electrode provided on a semiconductor substrate; a first dielectric layer provided on the first electrode; a plurality of variable resistance portions provided separately from each other on the first dielectric layer; a second dielectric layer provided on the first dielectric layer and between the variable resistance portions; and a second electrode provided on the variable resistance portions and the second dielectric layer, wherein each of the variable resistance portions is formed of a material that allows diffusion of metal atoms constituting the second electrode to inside of the each of the variable resistance portions. 2. The memcapacitor according to claim 1, wherein the second dielectric layer is formed of a material that prevents diffusion of metal atoms constituting the second electrode to inside of the second dielectric layer. 3. The memcapacitor according to claim 1, wherein the second electrode is divided to be provided on each of the variable resistance portions. 4. The memcapacitor according to claim 1, wherein the variable resistance portions are divided into two or more groups each including at least one of the variable resistance portions, and the second electrode is divided to be provided for each of the two or more groups. 5. The memcapacitor according to claim 1, wherein the variable resistance portions include a first variable resistance portion, and a plurality of second variable resistance portions that are equidistantly arranged from each other on a circumference of a circle centered on the first variable resistance portion. 6. The memcapacitor according to claim 1, wherein the variable resistance portions include a first variable resistance portion, and a plurality of second variable resistance portions that are equidistantly arranged from each other to keep a predetermined distance from a center of the first variable resistance portion. 7. A neuro device comprising: the memcapacitor according to claim 1; and a threshold function unit that is connected to the memcapacitor. 8. The neuro device according to claim 7, wherein in the memcapacitor, each of the variable resistance portions is a portion of a synapse device that holds a weights with respect to an input signal, and the first dielectric layer is a portion of an integrator that performs a product-sum operation for an input signal modulated with a weights held in each of the variable resistance portions. 9. The neuro device according to claim 7, wherein the threshold function unit has a same structure as the memcapacitor. 10. A neural network device comprising: a plurality of word lines; a plurality of bit lines that cross the word lines to be vertically separated from the word lines; and the memcapacitor according to claim 1 that is connected to each of portions where the word lines and the bit lines come close to each other.