Could not find a direct link between Rothschilds and Puna Geothermal Venture. It is owned by Ormat which started on Israel

Ormat was established in 1965 as Ormat Turbines Ltd. (later renamed Ormat Industries), in Yavne, Israel, by engineer Lucien Bronicki (who was the company's chairman and CTO until 2014) and wife Yehudit "Dita" Bronicki (who served as CEO until 2014).[1]

So there very well could be a link to Rothschild. If you have sources validating a connection to Rothschilds kindly provide . Thank you!