Interdisciplinary QC/CM Seminar | Incipient Intertwined Order in the Hubbard Model

The Hubbard model is the paradigmatic model of strongly correlated electron systems. Over the past several years, advanced numerical techniques have led to considerable progress in determining the ground state phases of the model, revealing spin stripe order, charge stripe order, and d-wave superconductivity as the dominant players at low energies. In this talk, I will discuss numerically exact determinantal quantum Monte Carlo calculations demonstrating how the interplay of these orders persists well above the onset of the pseudogap [1]. In particular, I will focus on the nature of fluctuating spin [2,3] and charge [4,5] stripes in the model, and show that they remain mutually commensurate at temperatures where the model exhibits bad metallic transport [6]. I will also discuss connections between these results to recent X-ray scattering experiments on cuprates [7] and possible avenues to explore intertwined orders in cold atom simulations of the Hubbard model.

References:
[1] EWH et al, arXiv:2106.09704.
[2] EWH et al, Science 358, 1161 (2017).
[3] EWH et al, npj Quantum Materials 3, 22 (2018).
[4] P. Mai, S. Karakuzu, G. Balduzzi, S. Johnston, T. A. Maier, arXiv:2106.01944.
[5] EWH, in preparation.
[6] EWH et al, Science 366, 987 (2019).
[7] S. Lee, EWH et al, in preparation.