“…34,45 At high temperatures, the +12BHO (d coat = 30 nm) film shows a maximum F p = 33 GN m − 3 at 77 K and 124 GN m − 3 at 65 K. Moreover, at T = 26 K, the F p of the +12BHO (d coat = 30 nm) film reaches a nearly constant~677 GN m − 3 from μ 0 H43 T up to 9 T, an F p value 10 times greater than that of Nb 3 Sn at 4.2 K. 46 Because the pinning landscape is produced by NPs, F p measured along the c-axis is actually close to the minimum value as a function of angle, not the maximum, contrary to the case of films with NRs, 45 as can be observed in the J c (θ) curves of Figures 4d-f. For the +12BZO (d coat = 150 nm) film, the BZO NPs are much less effective at 26 K than at a higher T. However, for the +12BHO (d coat = 30 nm) film, we see significant J c increases for all orientations and temperatures compared with that of the BZO MOD films, with a higher J c minimum (J c,min ) than that previously reported for any REBCO film or wire. 17,21,45,47,48 Relation between flux creep and NP density The different temperature dependence of the J c improvement (seen in the J c ratio) between BZO and BHO has its origin in the NP size (D NP ) relative to the normal-core diameter (2ξ ab ), as shown in Figure 5a. For BZO (D NP~2 5 nm), D NP /2ξ ab is 1.5 at 80 K but 44 at low temperatures, whereas for BHO (D NP~7 nm), d/2ξ ab ⩽ 1 and~2 at high and low temperatures, respectively.…”