Scientific Reports 5: Article number: 11723; published online: 30 June 2015; updated: 03 August 2015

This Article contains a typographical error in Equation (2).

should read:

In addition, the Acknowledgements section is incomplete.

“This work is partially supported by Grant-in-Aid for Scientific Research (S) (No. 26220711) from JSPS and Grant-in-Aid for Scientific Research on Innovative Areas “Science of Atomic Layers” (No. 25107004) from MEXT”.

should read:

“This work is partially supported by Grant-in-Aid for Scientific Research (S) (No. 26220711) from JSPS, Grant-in-Aid for Scientific Research on Innovative Areas “Fluctuation & Structure” (No. 25103003) from MEXT and Grant-in-Aid for Scientific Research on Innovative Areas “Science of Atomic Layers” (No. 25107004) from MEXT”.