Intertwined Orders and Their Dynamical Properties in Strongly Correlated Systems
Author | : Edwin Wang Huang |
Publisher | : |
Total Pages | : |
Release | : 2019 |
ISBN-10 | : OCLC:1117300168 |
ISBN-13 | : |
Rating | : 4/5 (68 Downloads) |
Book excerpt: Strongly correlated quantum materials are of interest for both their exotic phases, often harboring multiple intertwined orders, and their unconventional normal states. This thesis investigates these topics from the perspective of numerical simulations of strongly correlated toy model Hamiltonians. First, I present large scale determinantal quantum Monte Carlo calculations demonstrating fluctuating spin stripes in both the Emery and Hubbard models on a 2d square lattice. These results suggest the pervasiveness and importance of density wave ordering in the phase diagram of high-Tc cuprate superconductors. Furthermore, they shed new light on interpreting previous numerical results for the Hubbard model. Second, I discuss transport properties of the 2d Hubbard model evaluated by analytic continuation of DQMC data. Our data, extending to temperatures around an order of magnitude below the Fermi temperature, show features reminiscent of the strange metal phase observed in unconventional superconductors, including resistivity with linear-T dependence and in violation of the Mott-Ioffe-Regel limit. I conclude with a survey of possible ideas that might enable one to go beyond the results in this thesis.