Partially Filled Stripes in the Doped Hubbard Model with Next-Nearest Neighbor Hopping

Many correlated electron materials, including high-temperature superconductors, exhibit competing and intertwined orders including inhomogeneous patterns of spin and charge. The dynamic interplay between thermal and quantum fluctuations are often responsebile for exotic phases and phase transitions in many-body systems. Introducing a new development of the constrained-path auxiliary-field quantum Monte Carlo method, we study finite-temperature properties of the doped single-band Hubbard model in two dimensions, taking into account non-zero next-nearest neighbor hopping t'. We investigate two doping levels δ=1/8 and δ=1/5, particularly focusing on the strong-coupling regime. Our analysis delves into the temperature dependent characteristics of spin and charge orders, highlighting whether they exhibit long-range or short-range nature at low temperatures and drawing inferences snout the associated ground-state properties for these doping levels. Furthermore, we present how the optimal wavelengths of spin- and charge-density waves evolve with increasing cylinder widths, emphasizing the importance of approaching the thermodynamic limit.