• DOI:10.1038/s41535-022-00426-w
• Corpus ID: 246493001

Pair-density-wave in the strong coupling limit of the Holstein-Hubbard model

@article{Huang2022PairdensitywaveIT,
  title={Pair-density-wave in the strong coupling limit of the Holstein-Hubbard model},
  author={Kevin S. Huang and Zhaoyu Han and Steven A. Kivelson and Hong Yao},
  journal={npj Quantum Materials},
  year={2022},
  volume={7},
  pages={1-6}
}

• Kevin S. Huang, Zhaoyu Han, +1 author H. Yao
• Published 8 March 2021
• Physics
• npj Quantum Materials

A pair-density-wave (PDW) is a superconducting state with an oscillating order parameter. A microscopic mechanism that can give rise to it has been long sought but has not yet been established by any controlled calculation. Here we report a density-matrix renormalization-group (DMRG) study of an effective t - J - V model, which is equivalent to the Holstein-Hubbard model in a strong-coupling limit, on long two-, four-, and six-leg triangular cylinders. While a state with long-range PDW order is precluded in one dimension, we find strong quasi-long-range PDW order with a divergent PDW susceptibility as well as the spontaneous breaking of time-reversal and inversion symmetries. Despite the strong interactions, the underlying Fermi surfaces and electron pockets around the K and $${K}^{\prime}$$ K ′ points in the Brillouin zone can be identified. We conclude that the state is valley-polarized and that the PDW arises from intra-pocket pairing with an incommensurate center of mass momentum. In the two-leg case, the exponential decay of spin correlations and the measured central charge c  ≈ 1 are consistent with an unusual realization of a Luther-Emery liquid.