Scale-invariant phase transition of disordered bosons in one dimension

The disorder-induced quantum phase transition between superfluid and non-superfluid states of bosonic particles in one dimension is generally expected to be of the Berezinskii-Kosterlitz-Thouless (BKT) type. In this talk, we show that hard-core lattice bosons with power-law hopping decaying with distance as 1/r^α -- corresponding in spin language to a XY model with power-law couplings – undergo a non-BKT continuous phase transition instead, in the experimentally relevant regime 2<α <=3. By scaling analysis near the transition point, we demonstrate a new universal behavior of disordered bosons in one dimension. We discuss possible realizations in cold atomic and molecular systems.