Measurements of the single top-quark production cross-sections with the AT-LAS detector in pp collisions at the Large Hadron Collider (LHC) are presented. Results of measurements of single top-quark production in the t-and Wt-channel, as well as the determination of the CKM matrix element |V tb | are shown. Further, the separate measurement of the top-and antitop-quark t-channel production cross-section and the ratio of the two are presented, and several searches for exotic processes in single

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... op-quark production are discussed. The latter include results from searches for flavour changing neutral currents, extra heavy charged gauge bosons (W ), excited quarks, and searches for anomalous CP-violating couplings in the Wtb vertex. a