Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866917817746456576 |
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| author | Jiang, Yi-Fan Yao, Hong |
| author_facet | Jiang, Yi-Fan Yao, Hong |
| contents | Pair-density-wave (PDW) is a long-sought exotic state with oscillating superconducting order without external magnetic field. So far it has been rare in establishing a 2D microscopic model with PDW long-range order in its ground state. Here we propose to study PDW superconductivity in a minimal model of spinless fermions on the honeycomb lattice with nearest-neighbor (NN) and next-nearest-neighbor (NNN) interaction $V_1$ and $V_2$, respectively. By performing a state-of-the-art density-matrix renormalization group (DMRG) study of this $t$-$V_1$-$V_2$ model at finite doping on six-leg and eight-leg honeycomb cylinders, we showed that the ground state exhibits PDW ordering (namely quasi-long-range order with a divergent PDW susceptibility). Remarkably this PDW state persists on the wider cylinder with 2D-like Fermi surfaces (FS). To the best of our knowledge, this is probably the first controlled numerical evidence of PDW in systems with 2D-like FS. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_08609 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice Jiang, Yi-Fan Yao, Hong Superconductivity Strongly Correlated Electrons Pair-density-wave (PDW) is a long-sought exotic state with oscillating superconducting order without external magnetic field. So far it has been rare in establishing a 2D microscopic model with PDW long-range order in its ground state. Here we propose to study PDW superconductivity in a minimal model of spinless fermions on the honeycomb lattice with nearest-neighbor (NN) and next-nearest-neighbor (NNN) interaction $V_1$ and $V_2$, respectively. By performing a state-of-the-art density-matrix renormalization group (DMRG) study of this $t$-$V_1$-$V_2$ model at finite doping on six-leg and eight-leg honeycomb cylinders, we showed that the ground state exhibits PDW ordering (namely quasi-long-range order with a divergent PDW susceptibility). Remarkably this PDW state persists on the wider cylinder with 2D-like Fermi surfaces (FS). To the best of our knowledge, this is probably the first controlled numerical evidence of PDW in systems with 2D-like FS. |
| title | Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice |
| topic | Superconductivity Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2308.08609 |