Superconductivity underpinned by antiferromagnetism in YbRh2Si2 - calorimetry on sample A and electrical transport on samples B, C, D and E

Figure 1a: fig1/fig1aTA_C_data.txt, TN_C_data.txt: calorimetry measurements of TA(H) and TN(H) based on J Knapp et al, Physical Review Research 7, L042043 (2025).TN_MR_data.txt: magnetoresistance measurements of TN(H) (or rather HN(T)) based on J Knapp et al, Physical Review Research 7, L042043 (2025).TN_model.txt: Hyperfine model of TN(H) based on J Knapp et al, Physical Review Research 7, L042043 (2025).TA_model.txt: TA(H) fit to the data as described in the Supplementary Note 2.Figure 1b,c,d: fig1/fig1#, #=b,c,dsample_S>_TA_from_imZ_Hab.txt: TA signature from Im Z(T) data in sample S = B, C, D.Figure 1e: fig1/fig1esample_B.txt, sample_C.txt, sample_D.txt: R(T) data for samples B, C and D.Figure 1f: fig1/fig1fsample_D_f>Hz.txt: Im Z(T) data for sample D at frequency f.Figure 2b,c,d: fig2/fig2#, #=b,c,dsample_S>_flux_q.txt: onset of flux quantisation in sample S = B, C, D.sample_S>_Hab_parabola_Tc0=X>mK.txt: parabolic contour in sample S with Tc0 = X>.Figure 3: fig3HN_estimate.txt: estimated HN || c.TA_estimate.txt: estimated TA for H || c.sample_D_TA_from_imZ_Hc.dat: TA signature from Im Z(T) data in sample D.Figure 4: fig4Tc0=x>TA.txt: Calculated ΔH(T), ΔQ(T), ΔN(T) for a Tc0/TA = x.Source data for the Z(T,H) colour maps (Figures 1 and 2, 3, Extended Data Figures 5 and 6): colourmap_source_datasample_A/ZvsHab_200nA_7Hz_T=X>+-Y>mK.txt: Z(H) field sweep with H || ab at temperature X±Y mK.sample_B/ZvsHab_200nA_7Hz_T=X>+-Y>mK.txt: Z(H) field sweep with H || ab at temperature X±Y mK.sample_D/ZvsT_I>nA_f>Hz_Hab=X>G.txt: and ZvsT_I>nA_f>Hz_Y>Hc=G.txt: Z(T) temperature sweep at external field X || ab and Y || c with current drive I at frequency fsample E/ZvsHab_40nA_7Hz_T=X>+-Y>mK.txt: Z(H) field sweep with H || ab at temperature X±Y mK.Extended Data Figure 1b: ext_data_fig1/ext_data_fig1bsample_D_f>Hz.txt: Im Z(T) and Im Zc(T) data for sample D at frequency f.sample_A_C_over_T.txt: Ce+n(T) / T data for sample A, based on J Knapp et al, Physical Review Letters 130, 126802 (2023).Extended Data Figure 1c,d: ext_data_fig1/ext_data_fig1#, #=c,dsample_B.txt, sample_C.txt, sample_D.txt: Z(T) and Zc(T) data for samples B, C and D.sample_A_Ce_over_T.txt: Ce(T) / T for sample A, based on J Knapp et al, Physical Review Letters 130, 126802 (2023).Extended Data Figure 2: ext_data_fig2sample_D_T.txt, fridge_T.txt: sample and fridge temperature vs timeExtended Data Figure 3a,b: ext_data_fig1/ext_data_fig1#, #=a,bsample_S>_RvsH_T=T>mK.txt: Re Z(H) and Re Zc(T) at temperature T for sample S.Extended Data Figure 3c: ext_data_fig1/ext_data_fig1csample_D_RvsT_Hab=H>mT.txt: Re Z(T) and Im Z(T) at filed H || ab for sample D.Extended Data Figure 3d: ext_data_fig1/ext_data_fig1dsample_D_RvsT_Hc=H>mT.txt: Re Z(T) and Im Z(T) at filed H || c for sample D.Extended Data Figure 4d: ext_data_fig4/ext_data_fig4dsample_B.txt, sample_C.txt, sample_D.txt: onset of flux quantisation vs field H || ab for samples B, C and D.Extended Data Figure 4e: ext_data_fig4/ext_data_fig4esample_D.txt: onset of flux quantisation vs field H || c for sample D.Extended Data Figure 5: ext_data_fig5sample_S>_Hab_parabola_Tc0=X>mK.txt: contour of quadratic suppression of Tc with H || ab in sample S.sample_S>_Hab_linear_Tc0=X>mK.txt: contour of linear suppression of Tc with H || ab in sample S.sample_S>_Hab_non-monotonic_max_Tc=X>mK_at_Hab=Y>mT.txt: contour of non-monotonic response of Tc to H || ab in sample S.sample_S>_Hab_re-entrant_max_Hab=X>mT.txt: contour of re-entrant normal state in sample S.sample_D_Hc_linear_Tc0=6.0mK.txt: contour of linear suppression of Tc with H || c in sample D.sample_D_Hc_non-monotonic_max_Tc=4.4mK_at_Hc=391.4mT.txt: contour of non-monotonic response of Tc to H || c in sample D.Extended Data Figure 6a: ext_data_fig6/ext_data_fig6asample_B.txt, sample_C.txt, sample_D.txt, sample_E.txt: R(T) data for samples B, C, D and E.Extended Data Figure 6b: ext_data_fig6/ext_data_fig6bHN_model_for_TN=70mK.txt: Hyperfine model of TN(H) for YbRh2Si2 with unperturbed TN = 70 mK, based on J Knapp et al, Physical Review Research 7, L042043 (2025).HN_estimate_for_TN=81mK.txt: Estimated TN(H) for enhanced TN = 81 mK rescaled from the above TN = 70 mK result.TN_sample_E.txt: maximum in dR/dT as a signature of TN for sample E.