We have grown untwinned YBa2Cu3O 7−δ (YBCO) films on (110) MgO substrates that were preannealed at high temperature in oxygen atmosphere. The annealing results in surface reconstruction with shallow facets, which induce the suppression of the YBCO twinning domains, and the preferential alignment of the CuO chains along one of the in-plane directions of the substrate. Because of the large mismatch between the in-plane lattice parameters of film and substrate, the strain induced by the MgO into the YBCO layer is strong and very peculiar. The YBCO film is compressed, with respect to the bulk, and presents a unidirectional buckling of the atomic planes, along the chains' direction, due to a deformation of the copper-oxygen octahedra. The YBCO films, which can be grown with thicknesses down to few unit cells and oxygen doping levels spanning most of the superconducting dome, are patterned into nanowires with dimensions down to 50 nm. The anisotropies due to the untwinning state are preserved in these structures; moreover, additional anisotropies appear, in ultrathin structures where strain effects become more pronounced. Such untwinned and compressively strained films can therefore be used as a platform to study the interplay between strain and the various local orders in the normal state of YBCO. * riccardo.arpaia@chalmers.se † floriana.lombardi@chalmers.se duced by the substrate. In the case of YBa 2 Cu 3 O 7−δ (YBCO), this requires the growth of films which must be untwinned, to preserve the anisotropies related to the orthorhombicity of the unit cell, and at the same time compressively strained. The growth of untwinned films, where aligned CuO chains are present throughout the sample, is not an easy task since c-axis oriented YBCO films usually grow twinned on the substrates commonly used for the deposition of cuprates. This twinning, caused by a random exchange of the in-plane a and b axis, influences the electric and magnetic properties of the films [15][16][17][18]. The best untwinned YBCO films, reported so far, have been achieved on SrTiO 3 (STO) substrates with a vicinal miscut angle, i.e. with a small misorientation, with respect to the (001) plane direction [19,20]. However, the STO substrate induces a tensile stress into the YBCO films.Here we report on the growth of untwinned YBCO films under compressive strain. We succeeded in this task, by an in-situ thermal treatment of (110) oriented MgO substrates, prior to the deposition of the YBCO thin films. The thermal treatment results in a reconstruction of the substrate surface, favoring the growth of untwinned YBCO. Moreover, the film is subject to a very peculiar compressive strain, as a result of the large mismatch between the in-plane lattice parameters of the film and the substrate: the b axis shrinks, and tilts around the normal to the MgO surface.The manuscript is organized as follows: In Section II, we start with an overview of the past results on un-arXiv:1908.02637v2 [cond-mat.supr-con]