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We report measurements of the specific heat and magnetization of singlecrystal samples of the spin-1/2 kagome compound ZnCu$_{3}$(OH)$_{6}$Cl$_{2}$(herbertsmithite), a promising quantum spin-liquid candidate, in high magneticfields and at low temperatures. The magnetization was measured up to $\mu_{0}H$= 55 T at $T$ = 0.4 K, showing a saturation of the weakly interacting impuritymoments in fields above $\sim10$ T. The specific heat was measured down to $T <0.4$ K in magnetic fields up to 18 T, revealing $T$-linear and $T$-squaredcontributions. The $T$-linear contribution is surprisingly large and indicatesthe presence of gapless excitations in large applied fields. These resultsfurther highlight the unusual excitation spectrum of the spin liquid groundstate of herbertsmithite.

Thermodynamic Properties of the Quantum Spin Liquid Candidate ZnCu$_{3}$(OH)$_{6}$Cl$_{2}$ in High Magnetic Fields