We report recent findings into the electron-electron interaction in the uniform electron gas (UEG) and discuss their implications to superconductors without phonons and to warm dense matter in astrophysical objects. In our study, we develop a variational diagrammatic Monte Carlo technique to accurately calculate the local field factor of UEG for different temperature, momentum, and spin configuration. The results allow a first-principal parameterization of electron-electron interaction for a wide parameter regime. In the high-temperature limit, the interaction reveals a scaling law that captures the quantum-to-classical crossover in warm dense matter. While in the low-temperature limit, the interaction reveals exotic superconductivity in the ground state, driven by the Rietschel-Sham mechanism instead of the Kohn-Luttinger mechanism.
Kun Chen is currently a research fellow in the Center for Computational Quantum Physics at Flatiron institute, Simons foundation. He received Ph.D. in physics from the University of Science and Technology of China in 2016 and the University of Massachusetts at Amherst in 2017. He then went to Rutgers University as a postdoc until 2020. His research mainly focuses on the effective field theory of Fermi surfaces and emergent physics and the physics of quantum criticality.
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