Does the Fermi volume of $\mathrm{YbRh_2Si_2}$ jump at its critical field?
In plain words
Hall-effect data suggest that the number of electrons in the Fermi sea of $\mathrm{YbRh_2Si_2}$ changes abruptly at a critical magnetic field when cooled to zero temperature.
Precise statement
In $\mathrm{YbRh_2Si_2}$ at $T \to 0$ across the critical field $B_c \sim 600\,\mathrm{G}$ (field in the ab plane), determine whether the Fermi volume changes discontinuously from large (including the 4f hole) to small, as inferred from the Hall crossover whose width scales with $T$. An answer is a $T = 0$ extrapolation of the crossover width of Fermi-volume-sensitive transport (Hall coefficient, thermopower) in crystals with residual resistivity ratio of order 100 or more, or a Fermi-surface measurement at fields close to $B_c$, for example on chemically substituted samples whose critical field lies in the range accessible to quantum oscillations.
What would settle it
Hall and thermopower crossover widths measured below 10 mK on the cleanest crystals and extrapolated to $T = 0$, together with Fermi-surface data on substituted samples whose critical field is high enough for quantum oscillations.
Status in the literature
ARPES (2015) found a large Fermi surface at zero field down to about 1 K, well above the crossover temperatures; no direct Fermi-surface measurement at $B_{\mathrm{c}}$ exists.
Parent problems
- Special case of Kondo breakdown versus spin-density-wave criticality in heavy-fermion metals · open · from revision 1 The parent was revised since revision 1: it now states another question.
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