Title:Disorder-induced spin-cluster ferrimagnetism in a doped kagome spin liquid candidate

Abstract:The search for new quantum spin liquid materials relies on systems with strong frustration such as spins on the kagome lattice. This allows lattice imperfections to have substantial effects which are not well understood. In recent work the 2D kagome system YCu$_3$(OH)$_6$[(Cl$_x$Br$_{(1-x)}$)$_{3-y}$(OH)$_y$] has emerged as a leading candidate hosting a Dirac spin liquid which appears to survive at least for x<0.4, associated with alternating-bond hexagon (ABH) disorder. Here in samples with x=0.58 we report an unusual coexistence of anti-ferromagnetic (AFM) and ferromagnetic (FM) order, and propose a semi-microscopic model to account for this order. Combined with a phenomenological model the results suggest growth of large FM clusters at intermediate temperatures which order eventually at lower temperatures. Generating these FM clusters relies on two ingredients: ABH disorder, and local-AFM FM-canting generated by small Kitaev interactions which can arise on the kagome lattice. The combination of experimental observation and theory suggests that Kitaev interactions and ABH disorder are necessary for describing the magnetic fluctuations in this family of materials, with potential implications for the proposed proximate spin liquid phase.