Figure 2: Experimental and theoretical results on unusual magneto-transport and elastic properties originating from emergent monopoles.
From: Critical phenomena of emergent magnetic monopoles in a chiral magnet

(a–c) Experimental results on magnetic-field dependences of magnetization (blue line), expected usual Hall resistivity (red line) due to normal and anomalous Hall effects and observed Hall resistivity (dots) (a); expected usual MR (black line) and observed longitudinal and transverse MRs (b) change in elastic constants with propagation directions parallel and perpendicular to the magnetic field (c) at 30 K. Experimental estimates of topological Hall resistivity (d) positive contributions to MRs (e), which deviate from the usual MR profile (black curve in b), and relative elastic constants (f) at 30 K as functions of normalized magnetization M/Ms, Ms being the low-temperature and high-field (for example, 2 K and 14 T) saturated value of M. (g–i) Theoretical calculations on static emergent magnetic flux −φz in a unit of φ0=h/e (g) longitudinal and transverse MRs originating from emergent field (h) elastic constants (i) as functions of the polarization factor nz.