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DOE OSTI Β· 2999051

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

Peng, Cheng [SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)] (ORCID:0000000292671789)Β·Sheng, D. N. [California State University, Northridge, CA (United States)]Β·Jiang, Hong-Chen [SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)] (ORCID:0000000328426591)
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Abstract

Here, 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 𝐾 𝑠⁒𝑐 < 2 and 𝐾 𝑐 < 2. On the contrary, the spin-spin and single-particle correlations decay exponentially, although with relatively long correlation lengths.

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75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITYDensity matrix renormalization groupHoneycomb latticeHubbard modelStrongly correlated systemsSuperconductors

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Peng, Cheng [SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)] (ORCID:0000000292671789), Sheng, D. N. [California State University, Northridge, CA (United States)], Jiang, Hong-Chen [SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)] (ORCID:0000000328426591). 2025-02-03. Superconductivity in the lightly doped Hubbard model on the cylindrical honeycomb lattice. https://doi.org/10.1103/physrevb.111.085108

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