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Superconductivity in the lightly doped Hubbard model on the cylindrical honeycomb lattice

Cheng Peng, D. N. Sheng, Hong-Chen Jiang

DOI 10.1103/PhysRevB.111.085108 · Physical Review B

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Abstract

We have performed large-scale density-matrix renormalization group studies of the lightly doped Hubbard model on the honeycomb lattice on long three- and four-leg cylinders. We find that the ground state of the system upon lightly doping is consistent with that of a superconducting state with coexisting quasi-long-range superconducting and charge density wave orders. Both the superconducting and charge density wave correlations decay as a power law at long distances with corresponding exponents Ksc<2 and Kc<2. On the contrary, the spin-spin and single-particle correlations decay exponentially, although with relatively long correlation lengths.

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