Phase diagram of the one dimensional $t_1-t_2-J$ model: Ferromagnetism, triplet pairing, charge and pair density waves
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910343278624768 |
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| author | Yang, Luhang Feiguin, Adrian E. |
| author_facet | Yang, Luhang Feiguin, Adrian E. |
| contents | We present a density matrix renormalization group (DMRG) study of an extended $t-J$ model with hopping to the first and second neighbors -- the one dimensional $t_1-t_2-J$ model. The full phase diagram as a function of the density $n$ and exchange strength $J$, for both positive and negative values of $t_2$, is obtained. For $t_2=-0.5$ we observe that, in the strongly interacting region, Nagaoka Ferromagnetism (FM) is accompanied by a triplet pair density wave (PDW) upon doping. As the spin exchange $J$ increases, a charge density wave (CDW) phase emerges and then gives way to singlet superconductivity (SC). This phase behaves as a singlet PDW with vanishing spacial average of the order parameter and a spin gap. When $t_2=0.5$, the physics is basically reminiscent of the conventional $t-J$ model, undergoing a transition from a metallic to a SC phase as a function of $J$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15927 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Phase diagram of the one dimensional $t_1-t_2-J$ model: Ferromagnetism, triplet pairing, charge and pair density waves Yang, Luhang Feiguin, Adrian E. Strongly Correlated Electrons We present a density matrix renormalization group (DMRG) study of an extended $t-J$ model with hopping to the first and second neighbors -- the one dimensional $t_1-t_2-J$ model. The full phase diagram as a function of the density $n$ and exchange strength $J$, for both positive and negative values of $t_2$, is obtained. For $t_2=-0.5$ we observe that, in the strongly interacting region, Nagaoka Ferromagnetism (FM) is accompanied by a triplet pair density wave (PDW) upon doping. As the spin exchange $J$ increases, a charge density wave (CDW) phase emerges and then gives way to singlet superconductivity (SC). This phase behaves as a singlet PDW with vanishing spacial average of the order parameter and a spin gap. When $t_2=0.5$, the physics is basically reminiscent of the conventional $t-J$ model, undergoing a transition from a metallic to a SC phase as a function of $J$. |
| title | Phase diagram of the one dimensional $t_1-t_2-J$ model: Ferromagnetism, triplet pairing, charge and pair density waves |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2402.15927 |