Properties of a Single Hole in a Kagome Antiferromagnet

Various Spin Liquid states have been considered as candidate ground states for the frustrated Kagome Antiferromagnet. Ran \emph{et al} showed that the Dirac Spin Liquid(DSL) state has the lowest ground state energy amongst several proposals \footnote{Y. Ran et al, Phys. Rev. Lett. 98, 117205 (2007)} \footnote{M. Hermele et al, Phys. Rev. B 77, 224413 (2008)}. Assuming the DSL as the ground state, we consider the question of a single hole doped into the antiferromagnet. Our aim is to calculate the hole spectral function 1) at mean field level - where the DSL mean field decomposition of the Heisenberg exchange term forms a background field in presence of which the hole propagates, and 2) beyond mean field - where the question is whether the fluctuations of the DSL mean field renormalizes the hole in a nontrivial way or not.