Do Kondo insulators host charge-neutral fermions with a Fermi surface?
In plain words
Some insulators built from heavy-fermion elements, such as $\mathrm{YbB_{12}}$ and $\mathrm{SmB_6}$, show metal-like signatures, heat conduction by mobile carriers and quantum oscillations, while not conducting electricity; this would require particles that carry heat but no charge.
Precise statement
Determine whether a finite residual thermal conductivity $\kappa_{xx}/T$ at $T \to 0$ and bulk quantum oscillations in insulating Kondo insulators ($\mathrm{YbB_{12}}$, $\mathrm{SmB_6}$) arise from charge-neutral fermions with a Fermi surface (Majorana or composite-exciton Fermi seas) or from phonons, magnetic impurities and metallic inclusions. An answer is field-dependent $\kappa_{xx}/T$ and specific heat $\gamma$ on crystals with controlled impurity content, compared with a theory that predicts their magnitudes.
What would settle it
Thermal conductivity and specific heat at millikelvin temperatures on sets of crystals with independently measured impurity and inclusion densities, showing whether the residual terms survive as extrinsic content goes to zero.
Status in the literature
Unverified note: it names recent work and was partly written without a live literature search; it awaits a check by an editor.
Sato et al. (Nature Physics 2019) reported finite $\kappa/T$ at $T \to 0$ in $\mathrm{YbB_{12}}$; for $\mathrm{SmB_6}$, Hartstein et al. (2018) attributed field-dependent heat transport to neutral fermions and Boulanger et al. (2018) to phonons scattered by magnetic impurities.
Problems built on this one
Special cases
- Are the bulk quantum oscillations in $\mathrm{SmB_6}$ intrinsic? · open
- Does insulating $\mathrm{YbB_{12}}$ host a Fermi surface of neutral fermions? · open
Results
No results have been posted on this problem yet.
Post a result · how results are checked
Sign in to follow or save this problem
Comments (0)
Comments are not records: they are not signed, stamped or logged. How comments work
No comments yet.
Sign in to comment.