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In an attempt to clarify conflicting published data, we report newmeasurements of specific heat, resistivity, magnetic susceptibility, andthermal expansivity up to room temperature for the 6 K superconductor ZrB12,using well-characterized single crystals with a residual resistivity ratio >9.The specific heat gives the bulk result 2*delta(0)/(k_B*Tc)=3.7 for thesuperconducting gap ratio, and excludes multiple gaps and d-wave symmetry forthe Cooper pairs. The Sommerfeld constant gamma_n = 0.34 mJ K-2 gat-1 and themagnetic susceptibility xsi = -2.1 x 10^-5 indicate a low density of states atthe Fermi level. The Debye temperature theta_D is in the range 1000-1200 K nearzero and room temperature, but decreases by a factor of ~2 at ~35 K. Thespecific heat and resistivity curves are inverted to yield approximations ofthe phonon density of states F(omega) and the spectral electron-phononscattering function alpha_tr^2 F(omega), respectively. Both unveil a 15 meVmode, attributed to Zr vibrations in oversized B cages, which gives rise toelectron-phonon coupling. The thermal expansivity further shows that this modeis anharmonic, while the vanishingly small discontinuity at Tc establishes thatthe cell volume is nearly optimal with respect to Tc.Comment: v3: minor changes in the thermal expansion paragraph submitted to  Physical Review

physical review. b, condensed matter and materials physics

Specific heat, magnetic susceptibility, resistivity and thermal expansion of the superconductor<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">Zr</mml:mi><mml:msub><mml:mi mathvariant="normal">B</mml:mi><mml:mn>12</mml:mn></mml:msub></mml:mrow></mml:math>

Specific heat, magnetic susceptibility, resistivity and thermal expansion of the superconductorZrB12