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

<b>Figure 1a: </b>fig1/fig1aTA_C_data.txt, TN_C_data.txt: calorimetry measurements of <i>T</i>_A(<i>H</i>) and <i>T</i>_N(<i>H</i>) based on J Knapp et al, Physical Review Research <b>7</b>, L042043 (2025).TN_MR_data.txt: magnetoresistance measurements of <i>T</i>_N(<i>H</i>) (or rather <i>H</i>_N(<i>T</i>)) based on J Knapp et al, Physical Review Research <b>7</b>, L042043 (2025).TN_model.txt: Hyperfine model of <i>T</i>_N(<i>H</i>) based on J Knapp et al, Physical Review Research <b>7</b>, L042043 (2025).TA_model.txt:<i> T</i>_A(<i>H</i>) fit to the data as described in the Supplementary Note 2.<b>Figure 1b,c,d: </b>fig1/fig1#, #=b,c,dsample_&lt;<i>S</i>&gt;_TA_from_imZ_Hab.txt: <i>T</i>_<em>A</em> signature from Im <i>Z</i>(<i>T</i>) data in sample <i>S </i>= B, C, D.<b>Figure 1e:</b> fig1/fig1esample_B.txt, sample_C.txt, sample_D.txt: <i>R</i>(<i>T</i>) data for samples B, C and D.<b>Figure 1f: </b>fig1/fig1fsample_D_&lt;<i>f</i>&gt;Hz.txt: Im <i>Z</i>(<i>T</i>) data for sample D at frequency <i>f</i>.<b>Figure 2b,c,d: </b>fig2/fig2#, #=b,c,dsample_&lt;<i>S</i>&gt;_flux_q.txt: onset of flux quantisation in sample <i>S</i> = B, C, D.sample_&lt;<i>S</i>&gt;_Hab_parabola_Tc0=&lt;<i>X</i>&gt;mK.txt: parabolic contour in sample <i>S</i> with <i>T</i>_c0 = &lt;<i>X</i>&gt;.<b>Figure 3:</b> fig3HN_estimate.txt: estimated <i>H</i>_N || <i>c</i>.TA_estimate.txt: estimated <i>T</i>_A for <i>H</i> || <i>c</i>.sample_D_TA_from_imZ_Hc.dat: <i>T</i>_<em>A</em> signature from Im <i>Z</i>(<i>T</i>) data in sample D.<b>Figure 4: </b>fig4Tc0=&lt;<i>x</i>&gt;TA.txt: Calculated Δ_<em>H</em>(<i>T</i>),<b> </b>Δ_{<strong>Q</strong>}(<i>T</i>),<b> </b>Δ_<em>N</em>(<i>T</i>) for a <i>T</i>_c0<i>/T</i>_A = <i>x</i>.<b>Source data for the </b><b><i>Z</i></b><b>(</b><b><i>T</i></b><b>,</b><b><i>H</i></b><b>) colour maps (Figures 1 and 2, 3, Extended Data Figures 5 and 6): </b>colourmap_source_datasample_A/ZvsHab_200nA_7Hz_T=&lt;<i>X&gt;</i>+-&lt;<i>Y&gt;</i>mK.txt: <i>Z</i>(<i>H</i>) field sweep with <i>H</i> || <i>ab</i> at temperature <i>X</i>±<i>Y</i> mK.sample_B/ZvsHab_200nA_7Hz_T=&lt;<i>X&gt;</i>+-&lt;<i>Y&gt;</i>mK.txt: <i>Z</i>(<i>H</i>) field sweep with <i>H</i> || <i>ab</i> at temperature <i>X</i>±<i>Y</i> mK.sample_D/ZvsT_&lt;<i>I</i>&gt;nA_&lt;<i>f</i>&gt;Hz_Hab=&lt;<i>X</i>&gt;G.txt: and ZvsT_&lt;<i>I</i>&gt;nA_&lt;<i>f</i>&gt;Hz_&lt;<i>Y</i>&gt;Hc=G.txt: <i>Z</i>(<i>T</i>) temperature sweep at external field <i>X</i> || ab and <i>Y</i> || c with current drive <i>I</i> at frequency <i>f</i>sample E/ZvsHab_40nA_7Hz_T=&lt;<i>X</i>&gt;+-&lt;<i>Y</i>&gt;mK.txt: <i>Z</i>(<i>H</i>) field sweep with <i>H</i> || <i>ab</i> at temperature <i>X</i>±<i>Y</i> mK.<b>Extended Data Figure 1b: </b>ext_data_fig1/ext_data_fig1bsample_D_&lt;<i>f</i>&gt;Hz.txt: Im <i>Z</i>(<i>T</i>) and Im <i>Z</i>_<em>c</em>(<i>T</i>) data for sample D at frequency <i>f</i>.sample_A_C_over_T.txt: <i>C</i>_e+n(<i>T</i>) / <i>T</i> data for sample A, based on J Knapp et al, Physical Review Letters <b>130</b>, 126802 (2023).<b>Extended Data Figure 1c,d: </b>ext_data_fig1/ext_data_fig1#, #=c,dsample_B.txt, sample_C.txt, sample_D.txt: <i>Z</i>(<i>T</i>) and <i>Z</i>_<em>c</em>(<i>T</i>) data for samples B, C and D.sample_A_Ce_over_T.txt: <i>C</i>_e(<i>T</i>) / <i>T</i> for sample A, based on J Knapp et al, Physical Review Letters <b>130</b>, 126802 (2023).<b>Extended Data Figure 2: </b>ext_data_fig2sample_D_T.txt, fridge_T.txt: sample and fridge temperature vs time<b>Extended Data Figure 3a,b: </b>ext_data_fig1/ext_data_fig1#, #=a,bsample_&lt;<i>S</i>&gt;_RvsH_T=&lt;<i>T</i>&gt;mK.txt: Re <i>Z</i>(<i>H</i>) and Re <i>Z</i>_<em>c</em>(<i>T</i>) at temperature <i>T</i> for sample S.<b>Extended Data Figure 3c: </b>ext_data_fig1/ext_data_fig1csample_D_RvsT_Hab=&lt;<i>H</i>&gt;mT.txt: Re <i>Z</i>(<i>T</i>) and Im <i>Z</i>(<i>T</i>) at filed <i>H</i> || ab for sample D.<b>Extended Data Figure 3d: </b>ext_data_fig1/ext_data_fig1dsample_D_RvsT_Hc=&lt;<i>H</i>&gt;mT.txt: Re <i>Z</i>(<i>T</i>) and Im <i>Z</i>(<i>T</i>) at filed <i>H</i> || c for sample D.<b>Extended Data Figure 4d:</b> ext_data_fig4/ext_data_fig4dsample_B.txt, sample_C.txt, sample_D.txt: onset of flux quantisation vs field <i>H</i> || ab for samples B, C and D.<b>Extended Data Figure 4e:</b> ext_data_fig4/ext_data_fig4esample_D.txt: onset of flux quantisation vs field <i>H</i> || c for sample D.<b>Extended Data Figure 5: </b>ext_data_fig5sample_&lt;<i>S</i>&gt;_Hab_parabola_Tc0=&lt;<i>X</i>&gt;mK.txt: contour of quadratic suppression of <i>T</i>_c with <i>H</i> || <i>ab</i> in sample <i>S</i>.sample_&lt;<i>S</i>&gt;_Hab_linear_Tc0=&lt;<i>X</i>&gt;mK.txt: contour of linear suppression of <i>T</i>_c with <i>H</i> || <i>ab</i> in sample <i>S</i>.sample_&lt;<i>S</i>&gt;_Hab_non-monotonic_max_Tc=&lt;<i>X</i>&gt;mK_at_Hab=&lt;<i>Y</i>&gt;mT.txt: contour of non-monotonic response of <i>T</i>_c to <i>H</i> || <i>ab</i> in sample <i>S</i>.sample_&lt;<i>S</i>&gt;_Hab_re-entrant_max_Hab=&lt;<i>X</i>&gt;mT.txt: contour of re-entrant normal state in sample <i>S</i>.sample_D_Hc_linear_Tc0=6.0mK.txt: contour of linear suppression of <i>T</i>_c with <i>H</i> || <i>c</i> in sample D.sample_D_Hc_non-monotonic_max_Tc=4.4mK_at_Hc=391.4mT.txt: contour of non-monotonic response of <i>T</i>_c to <i>H</i> || <i>c</i> in sample D.<b>Extended Data Figure 6a:</b> ext_data_fig6/ext_data_fig6asample_B.txt, sample_C.txt, sample_D.txt, sample_E.txt: <i>R</i>(<i>T</i>) data for samples B, C, D and E.<b>Extended Data Figure 6b:</b> ext_data_fig6/ext_data_fig6bHN_model_for_TN=70mK.txt: Hyperfine model of <i>T</i>_N(<i>H</i>) for YbRh2Si2 with unperturbed <i>T</i>_N = 70 mK, based on J Knapp et al, Physical Review Research <b>7</b>, L042043 (2025).HN_estimate_for_TN=81mK.txt: Estimated <i>T</i>_N(<i>H</i>) for enhanced <i>T</i>_N = 81 mK rescaled from the above <i>T</i>_N = 70 mK result.TN_sample_E.txt: maximum in <i>d</i><i>R</i>/<i>d</i><i>T</i> as a signature of <i>T</i>_N for sample E.<br>