  We demonstrate that Kondo-Heisenberg systems, consisting of itinerant
electrons and localized magnetic moments (Kondo impurities), can be used as a
principally new platform to realize scalar chiral spin order. The underlying
physics is governed by a competition of the Ruderman-Kittel-Kosuya-Yosida
(RKKY) indirect exchange interaction between the local moments with the direct
Heisenberg one. When the direct exchange is weak and RKKY dominates the
isotropic system is in the disordered phase. A moderately large direct exchange
leads to an Ising-type phase transition to the phase with chiral spin order.
Our finding paves the way towards pioneering experimental realizations of the
chiral spin liquid in low dimensional systems with spontaneously broken time
reversal symmetry.
