Quantum dynamics of two-dimensional randomly pinned charge density waves

The nature of dynamic charge correlations in randomly disordered charge density wave (CDW) materials is an open problem. In a recent study [1], we addressed the interplay of thermal fluctuations and quenched random field disorder by leveraging the non-perturbative large-N technique to derive exact properties of the ground state and static CDW order parameter correlations. Here, we present the generalization of this work to include the effects of quantum fluctuations: We map out the phase diagram as a function of temperature and disorder strength and discuss the behavior of dynamic order parameter correlations across different regimes of physical interest.

[1] M. C. O’Brien and E. Fradkin, An Exactly Solvable Model of Randomly Pinned Charge Density Waves in Two Dimensions, arXiv:2309.10030 (2023).