Quantum spin liquid (QSL) is a novel state of matter with exotic excitations
and was theoretically predicted to be realized most possibly in an S=1/2 kagome
antiferromagnet. Experimentally searching for the candidate materials is a big
challenge in condensed matter physics and only two such candidates were
reported so far. Here we report the successful synthesis of a new spin-1/2
kagome antiferromagnet ZnCu3(OH)6SO4. No magnetic ordering is observed down to
50 mK, despite a moderately high Weiss temperature of {\theta}W ~ -79 K. It
strongly suggests that the material is a new QSL candidate. Most interestingly,
the magnetic specific heat clearly exhibits linear behaviors in two
low-temperature regions. Both behaviors exactly correspond to two
temperature-independent susceptibilities. These consistently reveal a novel
re-entrance phenomenon of gapless QSL state at the lowest temperatures. The
findings provide new insights into QSL ground and excited states and will
inspire new theoretical and experimental studies.Comment: 27 pages, 5 figure