The macroscopically ordered exciton state ͑MOES͒-a periodic array of beads with spatial order on a macroscopic length-appears in the external exciton rings in coupled GaAs/ ͑Al, Ga͒As quantum wells at low temperatures below a few Kelvin. Here, we report on the experimental study of the interaction in the MOES. The exciton photoluminescence energy varies in concert with the intensity along the circumference of the ring, with the largest energy found in the brightest regions. This shows that the MOES is characterized by the repulsive interaction and is not driven by the attractive interaction.Spatial photoluminescence ͑PL͒ patterns have been observed recently in structures with coupled 1-3 and single 4 quantum wells. The pattern features include the inner exciton rings, 1 the external exciton rings, 1-4 the localized bright spots ͑LBS͒, 1,3,5,6 and the macroscopically ordered exciton state ͑MOES͒-a periodic array of beads with spatial order on a macroscopic length. 1,3 The inner and external exciton rings and LBS are observed up to high temperatures and are classical phenomena. Their origin has been identified: the inner ring has been explained in terms of nonradiative exciton transport and cooling 7 and the external rings and LBS have been explained in terms of macroscopic in-plane charge separation and exciton formation at the interface of the electron-and hole-rich regions. 3,4 On the contrary, the MOES is a low-temperature phenomenon. The MOES appears in the external rings at low temperatures below a few Kelvin. 1,3 Because of their long lifetime and high cooling rate, indirect excitons in coupled quantum wells ͑CQW͒, Fig. 1͑a͒, form a system where a cold and dense exciton gas can be created. 8 Research to understand the origin of the MOES is in progress.Spontaneous macroscopic ordering is a general phenomenon in pattern formation. For instance, the MOES is characterized by a one-dimensional ͑1D͒ spatial modulation and periodic 1D patterns are observed in a variety of both quantum and classical systems. The examples include the soliton trains in atom Bose-Einstein condensates ͑BEC͒, 9 Taylor vortices in liquids, 10 Turing instabilities in reaction-diffusion systems 11 and bacteria colonies, 12 and gravitational instabilities in cosmological systems. 13 All of these ordered states originate from an instability, which is generated by a positive feedback to density modulation. The mechanism of the positive feedback is specific for each system. A particular mechanism of the positive feedback, which is responsible for the soliton train formation 9 and gravitational instability, 13 is an attractive interaction: In the experiments on atom BEC, the stripe of atomic BEC was homogeneous in the case of repulsive interaction and, conversely, was fragmented to the periodic soliton train in the case of attractive interaction due to the modulational instability; 9 gravitational instability results in the fragmentation of gaseous slabs and filaments to a periodic array of high-density clumps that is a step towards the formatio...