Search

Temperature in thermodynamics is synonymous with disorder, and responsible for ultimately destroying ordered phases. Here, we show an unusual magnetic transition where, with increasing the temperature of elemental neodymium, long-range multi-Q magnetic order emerges from a self-induced spin glass. Using temperature-dependent spin-polarized scanning tunneling microscopy, we characterize the local Q order in the spin-Q glass phase and quantify the emergence of long-range multi-Q order with increasing temperature. We develop two distinct analysis tools, which enable the quantification of the glass transition temperature, based on measured spatially-dependent magnetization. We compare these observations with atomic spin dynamics simulations, which reproduce the qualitative observation of a phase transition from a low-temperature spin glass phase to an intermediate ordered multi-Q phase. These simulations trace the origin of the unexpected high temperature order in weakened frustration driven by temperature-dependent sublattice correlations. These findings constitute an example of order from disorder and provide a rich platform to study magnetization dynamics in a self-induced spin glass.

Artificial lattices created by assembling atoms on a surface with scanning tunneling microscopy present a platform to create matter with tailored electronic, magnetic and topological properties. However, such artificial lattices studies to date have focused exclusively on surfaces with weak spin-orbit coupling. Here, we created artificial and coupled quantum dots by fabricating quantum corrals from iron atoms on the prototypical Rashba surface alloy, BiCu2, using low-temperature scanning tunneling microscopy. We quantified the quantum confinement of such quantum dots with various diameter and related this to the spatially dependent density of states, using scanning tunneling spectroscopy. We found that the density of states shows complex distributions beyond the typical isotropic patterns seen in radially symmetric structures on (111) noble metal surfaces. We related these to the energy-dependent interplay of the confinement potential with the hexagonal warping and multiple intra- and interband scattering vectors, which we simulated with a particle-in-a-box model that considers the Rashba-type band structure of BiCu2. Based on these results, we studied the effect of coupling two quantum dots and exploited the resultant anisotropic coupling derived from the symmetry of the various scattering channels. The large anisotropy and spin-orbit coupling provided by the BiCu2 platform are two key ingredients toward creation of correlated artificial lattices with non-trivial topology.

Spectroscopic mapping refers to the massive recording of spectra whilst varying an additional degree of freedom, such as: magnetic field, location, temperature, or charge carrier concentration. As this involves two serial tasks, spectroscopic mapping can become excruciatingly slow. We demonstrate exponentially faster mapping through our combination of sparse sampling and parallel spectroscopy. We exemplify our concept using quasiparticle interference imaging of Au(111) and Bi2Sr2CaCu2O8 (Bi2212), as two well-known model systems. Our method is accessible, straightforward to implement with existing scanning tunneling microscopes, and can be easily extended to enhance gate or field-mapping spectroscopy. In view of a possible four orders of magnitude speed advantage, it is setting the stage to fundamentally promote the discovery of novel quantum materials.