Competing pair density wave orders in the square lattice $t$-$J$ model
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917096245428224 |
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| author | Zheng, Wayne Yue, Zheng-Yuan Zhang, Jian-Hao Gu, Zheng-Cheng |
| author_facet | Zheng, Wayne Yue, Zheng-Yuan Zhang, Jian-Hao Gu, Zheng-Cheng |
| contents | Over the last two decades, the competing orders in high-$T_{c}$ cuprates have been intensely studied, such as pseudogap phase, charge density waves (CDW), and pair density waves (PDW), which are thought to play a crucial role in high-temperature superconductivity. Using the $t$-$J$ model on a square lattice as the simplest model for high-$T_{c}$ cuprates, we employed the fermionic tensor product state (fTPS) method for numerical investigations. Our study revealed new types of PDW states alongside the well-known $d$-wave state and the recently discovered fluctuating PDW state within the low-energy subspace of the $t$-$J$ model. We believe that the competition among these states in the underdoped region suggests the potential existence of a fluctuating quantum liquid of PDW states, providing direct evidence for the pseudogap phase's "cheap vortex" scenario. Furthermore, we discuss the potential experimental implication of our discovery. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_19218 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Competing pair density wave orders in the square lattice $t$-$J$ model Zheng, Wayne Yue, Zheng-Yuan Zhang, Jian-Hao Gu, Zheng-Cheng Strongly Correlated Electrons Over the last two decades, the competing orders in high-$T_{c}$ cuprates have been intensely studied, such as pseudogap phase, charge density waves (CDW), and pair density waves (PDW), which are thought to play a crucial role in high-temperature superconductivity. Using the $t$-$J$ model on a square lattice as the simplest model for high-$T_{c}$ cuprates, we employed the fermionic tensor product state (fTPS) method for numerical investigations. Our study revealed new types of PDW states alongside the well-known $d$-wave state and the recently discovered fluctuating PDW state within the low-energy subspace of the $t$-$J$ model. We believe that the competition among these states in the underdoped region suggests the potential existence of a fluctuating quantum liquid of PDW states, providing direct evidence for the pseudogap phase's "cheap vortex" scenario. Furthermore, we discuss the potential experimental implication of our discovery. |
| title | Competing pair density wave orders in the square lattice $t$-$J$ model |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2411.19218 |