Quantum Monte Carlo study of the dominating pairing symmetry in doped honeycomb lattice

Xingchuan Zhu(朱兴川)^{1}, Tao Ying(应涛)^{2}, Huaiming Guo(郭怀明)^{3}, Shiping Feng(冯世平)^{1}

1 Department of Physics, Beijing Normal University, Beijing 100875, China;
2 Department of Physics, Harbin Institute of Technology, Harbin 150001, China;
3 Department of Physics, Key Laboratory of Micro-Nano Measurement-Manipulation and Physics(Ministry of Education), Beihang University, Beijing 100191, China

We perform a systematic determinant quantum Monte Carlo (DQMC) study of the dominating pairing symmetry in a doped honeycomb lattice. The Hubbard model is simulated over a full range of filling levels for both weak and strong interactions. For weak couplings, the d-wave state dominates. The effective susceptibility as a function of filling shows a peak, and its position moves toward half filling as the temperature is increased, from which the optimal filling of the superconducting ground state is estimated. Although the sign problem becomes severe for strong couplings, the simulations access the lowest temperature at which the DQMC method generates reliable results. As the coupling is strengthened, the d-wave state is enhanced in the high-filling region. Our systematic DQMC results provide new insights into the superconducting pairing symmetry in the doped honeycomb lattice.

Project supported by the National Natural Science Foundation of China (Grant Nos. 11774019, 11504067, 11574032, and 11734002), the National Key Research and Development Program of China (Grant No. 2016YFA0300304), and the Fundamental Research Funds for the Central Universities, China (Grant No. HIT.NSRIF.2019057).

Xingchuan Zhu(朱兴川), Tao Ying(应涛), Huaiming Guo(郭怀明), Shiping Feng(冯世平) Quantum Monte Carlo study of the dominating pairing symmetry in doped honeycomb lattice 2019 Chin. Phys. B 28 077401

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