Scientific Reports 5: Article number: 11723; 10.1038/srep11723 published online: June 30 2015; updated: August 03 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”.
