Observation of a marginal Fermi glass

The combination of disorder and strong interactions makes it hard to understand the nature of doped silicon's insulating phase. State-of-the-art spectroscopy measurements show marginal electronic behaviour reminiscent of what is seen in the cuprates. A long-standing open problem in condensed-matter physics is whether or not a strongly disordered interacting insulator can be mapped to a system of effectively non-interacting localized excitations. Using terahertz two-dimensional coherent spectroscopy, we investigate this issue in phosphorus-doped silicon, a classic example of a correlated disordered electron system in three dimensions. Despite the intrinsically disordered nature of these materials, we observe coherent excitations and strong photon echoes that provide us with a powerful method for the study of their decay processes. We extract the energy relaxation and decoherence rates close to the metal-insulator transition. We observe that both rates are linear in excitation frequency with a slope close to unity. The energy relaxation timescale counterintuitively increases with increasing temperature, and the coherence relaxation timescale has little temperature dependence below 25 K, but increases as the material is doped towards the metal-insulator transition. Here we argue that these features imply that the system behaves as a well-isolated electronic system on the timescales of interest, and relaxation is controlled by electron-electron interactions. Our observations constitute a distinct phenomenology, driven by the interplay of strong disorder and strong electron-electron interactions, which we dub the marginal Fermi glass.

Automated summary

This study investigates the impact of coherent excitations and photon echoes on the decay processes of doped silicon materials, extracting energy relaxation and decoherence rates close to the metal-insulator transition. The observed linear relationship between rates and excitation frequency, as well as counterintuitive behaviors at different temperatures and doping levels, suggest that the system behaves as a well-isolated electronic system controlled by electron-electron interactions. These observations contribute to a distinct phenomenology, known as the marginal Fermi glass, driven by the interplay of strong disorder and strong electron-electron interactions.