Studying Quantum Phase transitions in Emergent Non-Fermi Liquid systems

The interplay between electrons and bosonic degrees of freedom provides a rich platform for discovering exotic states of matter. In this talk, we report on the emergence of a novel quantum phase transition driven by non-Fermi liquid behaviour. Calculations of the electron self-energy reveal a critical point characterised by a dramatic departure from canonical Fermi liquid theory (Σ(ω) ∼ ω^2/3) similar to previous works [1,2]. This instability signals a transition between distinct quantum phases, the nature of which will be discussed. We connect this theoretical framework to a two-dimensional material and predict the emergence of non-Fermi liquid behaviour and the associated quantum phase.

[1] Garst, M., & Chubukov, A. V. (2010). Electron self-energy near a nematic quantum critical point.

Physical Review B—Condensed Matter and Materials Physics, 81(23), 235105..

[2] Xu, X. Y., Klein, A., Sun, K., Chubukov, A. V., & Meng, Z. Y. (2020). Identification of non-Fermi

liquid fermionic self-energy from quantum Monte Carlo data. npj Quantum Materials, 5(1), 65.