Influence of polarity and hydroxyl termination on the band bending at ZnO surfaces

R. Heinhold,1 G. T. Williams,2 S. P. Cooil,3 D. A. Evans,3 and M. W. Allen1,* 1The MacDiarmid Institute for Advanced Materials and Nanotechnology, University of Canterbury, Christchurch 8043, New Zealand 2Element Six Limited, Global Innovation Centre, Didcot, OX11 0QR, United Kingdom 3Department of Mathematics and Physics, Aberystwyth University, Aberystwyth SY23 3BZ, United Kingdom (Received 4 October 2013; revised manuscript received 26 November 2013; published 30 December 2013)