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

Yi-Fan Jiang; Thomas P. Devereaux; Hong-Chen Jiang

doi:10.1103/PhysRevB.109.085121

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

Yi-Fan Jiang, Thomas P. Devereaux, Hong-Chen Jiang

DOI 10.1103/PhysRevB.109.085121 · Physical Review B

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Abstract

We have studied the ground state properties of Hubbard model on long six-leg square cylinders with doped hole concentration 5.55%≤δ≤12.5% using density-matrix renormalization group. Our state-of-the-art DMRG study with a large number of states convincingly shows that the nature of the ground state is remarkably sensitive to the presence of next-nearest-neighbor electron hopping t′. In the positive t′ side, we find a robust d-wave superconducting (SC) phase characterized by coexisting quasi-long-range SC and charge density wave (CDW) correlations. Without t′ the ground state forms an insulating stripe phase with long-range CDW order. In stark contrast to four-leg cylinders, our results show that the lightly doped Hubbard model on six-leg cylinders remains insulating in the negative t′ side where the SC correlations decay exponentially with short correlation lengths. In the larger negative t′ side, the doped holes form a holon Wigner crystal with one doped hole per emergent unit cell and short-range spin-spin correlations.