Abstract: We present a search for the lepton flavor violating decay Z->eu in proton-proton collisions at a center of mass energy of 7 TeV using approximately 3.1 pb−1 of data recorded with the ATLAS detector at the CERN large hadron collider. Candidate events have two isolated high p[tau] leptons (an electron and a muon), no jets, and little missing transverse energy. We observe no events with eu invariant mass above 60 GeV/c2. This demonstrates that we can suppress the eu background to a negligible level and are sensitive to exotic eu production. We set 95% confidence upper limit on the Z->eu branching ratio of 2.0 x 10−4.