Fig. 3: Thermodynamics of free and bound magnons.

a, The ν = 1 gap as a function of magnon chemical potential µm/EZ and temperature T computed using the skyrmion model. b, Rxx as a function of Vd.c. applied to contact 3 near ν = 1 (Extended Data Fig. 3a shows the circuit). The centre of the ν = 1 plateau is around VBG = 3.5 V. c, Rxx as a function of temperature with no bias applied to contact 3 near ν = 1 using the same circuit as b. d, Temperature of the system as a function of Vd.c. extracted from Rxx thermometry measurements (Methods). The grey dashed lines mark the Zeeman energy. e–g, Magnon chemical potential µm/EZ (e), free magnon density per flux nm (f) and the number of extra flipped spins carried by charge <s> (g) extracted from the skyrmion model (Methods). The shaded region corresponds to a medium-bias regime where heating due to magnon injection plays a key role.