The work performed was described in the Overall Objectives in the previous entry.
Main Results Achieved:
1. We found that when passing a constant electrical current (direct current, or DC) through the system, the resistivity of our model exhibited a linear dependence on temperature at low temperatures. This reproduces the behavior observed in real high-temperature cuprate strange metals.
2. We discovered that when passing an oscillating electrical current (alternating current, or AC) through the system, the conductivity of strange metals transitions from a standard metallic form to a form characterized by a resonance at intermediate frequencies (the so-called mid-infrared peak), similar to experimental observations in cuprate strange metals. We illuminated the role of hydrodynamics in the presence of a lattice (so-called Umklapp hydrodynamics) in the dissipation mechanism at play in strange metals.
3. In the presence of a strong lattice potential, we observed that the thermal diffusivity remained unaffected by the breaking of translations by the lattice, and strong chaotic scattering processes generate dissipation on a time-scale that approaches a fundamental limit of nature (Planckian dissipation).
4. We discovered anomalous behavior between the electrical and thermal diffusivities that led us to propose distinctions in chaos properties between electrically charged and neutral operators.
Exploitation and Dissemination:
The results of our research have been disseminated through our arXiv preprint manuscript, which has bee published in the peer-reviewed journal “Physical Review B”. These were further disseminated through presentations at conferences and workshops by the supervisor Professor Koenraad Schalm, the Ph.D. student Nicolas Chagnet, and myself. This includes my presentation at the National Seminar on Theoretical High Energy Physics held at CWI/Nikhef this year. We have contributed to the collective knowledge in this field, facilitating discussions and further investigations.
The computer code used for this work, developed chiefly by the former Ph.D. student, Floris Balm, was made publicly available on GitHub for general use. There is no dedicated website for this specific to this project. However, we do have a group website and the link given below is to the page that describes the background information for this work.
