Ground-state phase diagram and superconductivity of the doped Hubbard model on six-leg square cylinders

Abstract

The authors employ the density-matrix renormalization group to investigate the doped Hubbard model on six-leg square cylinders. It uncovers a rich quantum phase diagram, intricately sensitive to next-nearest-neighbor electron hopping ($t\ensuremath{'}$). The positive-$t$\ensuremath{'} region shows a robust $d$-wave superconducting phase with intertwined superconducting and charge-density-wave orders. In contrast, the negative-$t$\ensuremath{'} side remains insulating, where doped holes form either long-range charge stripe order at small $t$\ensuremath{'} or a holon Wigner crystal with one doped hole per emergent unit cell and short-range spin correlations at larger $t$'.

Topics & Concepts