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Junhyeok Bang,1 Y. Y. Sun,1 Tesfaye A. Abtew,2 Amit Samanta,3 Peihong Zhang,2,* and S. B. Zhang1,† 1Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Troy, New York 12180, USA 2Department of Physics, University at Buffalo, State University of New York, Buffalo, New York 14260, USA 3Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08540, USA (Received 3 December 2012; revised manuscript received 30 April 2013; published 25 July 2013)

Difficulty in predicting shallow defects with hybrid functionals: Implication of the long-range exchange interaction