Dimensional crossover is of high relevance to understanding real-world quasi-one-dimensional (1D) systems. Here we study the collective excitations, measured as plasmon dispersions in an electron energy loss experiment, in a tunable family of model systems, namely, Au chains on stepped Si(hhk) substrates, that allow variations of chain widths and interchain spacings. We indeed observe 1D-like dispersions, but with a significant influence of higher dimensions. Surprisingly, we find that it is not the interchain coupling but the width of the conduction channel, as confirmed by tunneling spectroscopy, that dominates the excitations. DOI: 10.1103/PhysRevB.93.161408 One-dimensional (1D) electronic systems have highly attractive properties such as quantization of conductance, extremes of electronic correlation manifested by spin-charge separation, charge and spin density waves [1,2], triplet superconductivity, and Luttinger liquid behavior [3][4][5]. Due to their inherent instability, however, structural embedding and understanding of the coupling to other dimensions is of supreme importance. Indeed, many 1D properties can still be observed in these quasi-1D systems [6][7][8][9][10]. In addition, these systems host a variety of instabilities with a wealth of associated phase transitions [11]. On the other hand, the excitation spectra of these systems and their dynamics are still largely unexplored, which is particularly true for collectively excited plasmonic states.Apart from these fundamental aspects, plasmons play an important role, e.g., in sensor technology [12], improvement of quantum efficiency in photovoltaic devices [13], and even in cancer research [14]. A new field of plasmon research has been opened recently by collective excitations of low-dimensional electron gases, called sheet plasmons [15,16], which have wavelengths that are typically three orders of magnitude shorter compared to photons of the same frequency. Thus THz plasmonics on the scale of a few nanometers becomes feasible.One-dimensional (1D) metallic wires and their plasmonic excitations would be ideal for directed energy transport on the nanoscale, since quasilinear dispersion is predicted, at least in the long wavelength limit [17], for these 1D plasmons. Such dispersions have indeed been found for regular arrays of atomic wires on insulating substrates [18][19][20]. Moreover, confinement effects in these metallic subunits on the surface lead to the formation of intersubband excitations [19][20][21].Before realizing such visions, several fundamental properties of these quasi-1D plasmons need to be clarified, comprising, in particular, the question of dimensional crossover, but also the correct treatment of many-body effects, electronic correlations, and Coulomb screening [22][23][24]. These open topics led to a partly unsatisfactory description of experimental results in the past [18,19,25]. * pfnuer@fkp.uni-hannover.de To address such fundamental aspects for 1D and 2D systems, the growth of various metals in the submonolayer regime on se...