“…It is well known that the Y site in YBa2Cu3O7- (Y123) can be completely replaced by some of rare-earth (RE) elements and almost all RE123s show superconductivity at ~90 K. 1,2) Similarly, the Y site in YBa2Cu4O8 (Y124) can also be replaced by several RE elements but the superconducting transition temperature (Tc) of RE124 varies between 70 K and 80 K. [3][4][5][6][7] Up to now, a series of RE124 has been obtained for RE = Sm, Eu, Gd, Dy, Ho, Er, Tm and Yb, and the Tc of RE124 increases from 70 K to 80 K dependent on the decrease of the c-axis in this order. [3][4][5][6][7][8][9][10][11] In that sense, Lu124, consisting of the smallest RE ion of Lu, is expected to show the highest Tc in the RE124 system since it has the smallest c-axis length.…”