We have investigated clean and As-covered zinc-blende GaN (001) surfaces, employing firstprinciples total-energy calculations. For clean GaN surfaces our results reveal a novel surface structure very different from the well-established dimer structures commonly observed on polar III-V (001) surfaces: The energetically most stable surface is achieved by a Peierls distortion of the truncated ͑1 3 1͒ surface rather than through addition or removal of atoms. This surface exhibits a ͑1 3 4͒ reconstruction consisting of linear Ga tetramers. Furthermore, we find that a submonolayer of arsenic significantly lowers the surface energy indicating that As may be a good surfactant. Analyzing surface energies and band structures we identify the mechanisms which govern these unusual structures and discuss how they might affect growth properties. [S0031-9007(98) Its wide direct band gap and strong chemical bonds render GaN an ideal material for optoelectronic devices in the blue͞UV region of the optical spectrum. Recently, the fabrication of highly efficient blue light emitting diodes [1] and prototypes of a blue laser have been reported [2]. However, despite progress in device fabrication an understanding of the fundamental growth mechanisms is still in its infancy, and even the atomic structure of the surface is not well understood. Only recently atomically resolved scanning tunneling micrographs have been obtained for wurtzite GaN surfaces [3]. A detailed knowledge of the properties and structure of these surfaces is crucial to improve growth in a systematic way.The stable crystal phase of GaN is the wurtzite structure. However, cubic (zinc-blende) GaN can be grown epitaxially on cubic SiC or GaAs. Cubic GaN exhibits a number of properties very appealing for device applications: It has a lower band gap than the wurtzite phase (by 0.2 eV) and can be easily cleaved. Cubic GaN has been grown, e.g., on cubic GaAs (001) substrates [4][5][6]. Growing on this substrate Brandt et al. observed in going from N-rich conditions to Ga-rich conditions a reversible sequence of reconstructions exhibiting ͑1 3 1͒, ͑2 3 2͒, and c͑2 3 2͒ reflection high energy electron diffraction (RHEED) patterns [4]. The c͑2 3 2͒ and ͑2 3 2͒ reconstructions have also been reported by other groups [6]. Scanning tunneling microscopy (STM) measurements further revealed that the ͑2 3 2͒ structure contains one dimer per surface cell, but the chemical nature of the dimer could not be resolved [7]. However, recently Feuillet et al.[8] observed a ͑1 3 4͒ (N-rich) and a ͑1 3 1͒ (Garich) reconstruction for GaN (001) grown on cubic SiC. Only when exposing these surfaces to an As background pressure the two surface reconstructions commonly found for GaN on GaAs [͑2 3 2͒ and c͑2 3 2͒] were observed.Based on these results it appears that the GaN (001) ͑2 3 2͒ and c͑2 3 2͒ structures obtained in growth on GaAs substrates are stabilized by As adsorption or segregation, but that the ͑1 3 4͒ is an intrinsic reconstruction of the clean surface [8].In this Letter we address the...