Ask HN: When will we actually see a battery breakthrough?

Year after year we read that some scientists have find a new battery technology that would improve the current ones by at least one order of magnitude, but still this field is far from having an equivalent to the Moore's law.

What's the current state of the art? Which approaches seem more promising? Will the next battery technology be a propietary one?

How could I, as non-expert, get into this topic (like, say, at least knowing and kind of understanding what is being research)?

Thank you very much.