罗根 (Luógēn) is the standard Chinese transliteration of the English name Logan. In pop culture it most often refers to the X-Men character Logan / Wolverine, especially via the 2017 film 《罗根》 (Logan) starring Hugh Jackman. 罗 approximates 'Lo' and 根 approximates 'gan'.
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Both characters carry their literal meanings in the background — 罗 'net' and 根 'root' — but here they're chosen purely for sound. Treat 罗根 as a phonetic shell, not a meaningful compound.