Finite temperature dopant-induced spin reorganization explored via tensor networks in the two-dimensional $t$-$J$ model
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| Format: | Preprint |
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2025
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| _version_ | 1866917267835453440 |
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| author | Zhang, Yintai Sinha, Aritra Rams, Marek M. Dziarmaga, Jacek |
| author_facet | Zhang, Yintai Sinha, Aritra Rams, Marek M. Dziarmaga, Jacek |
| contents | We study the two-dimensional $t$--$J$ model at finite temperature directly in the thermodynamic limit using purification represented by an infinite projected entangled-pair state (iPEPS). We reach temperatures down to $T/t=0.1$ and hole concentrations up to $1-n\simeq0.25$, and provide benchmark thermodynamic-limit results for the specific heat, uniform susceptibility, and charge compressibility. We identify a susceptibility maximum $T^\ast$ that tracks the buildup of short-range antiferromagnetism and a shallow compressibility enhancement upon cooling in the same doping window. To expose the underlying microscopic mechanism, we introduce dopant-conditioned multi-point correlators that quantify how holes reorganize nearby exchange: single holes weaken adjacent antiferromagnetic bonds, while nearest-neighbor hole pairs produce a cooperative response that reinforces antiferromagnetism on the parallel plaquette edge. Over the same parameter window, $d$-wave pairing correlations remain short-ranged. These results provide experiment-compatible thermodynamic-limit benchmarks and establish dopant-conditioned correlators as incisive probes of finite-temperature spin-texture reorganization in doped Mott insulators. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_04756 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite temperature dopant-induced spin reorganization explored via tensor networks in the two-dimensional $t$-$J$ model Zhang, Yintai Sinha, Aritra Rams, Marek M. Dziarmaga, Jacek Strongly Correlated Electrons Quantum Physics We study the two-dimensional $t$--$J$ model at finite temperature directly in the thermodynamic limit using purification represented by an infinite projected entangled-pair state (iPEPS). We reach temperatures down to $T/t=0.1$ and hole concentrations up to $1-n\simeq0.25$, and provide benchmark thermodynamic-limit results for the specific heat, uniform susceptibility, and charge compressibility. We identify a susceptibility maximum $T^\ast$ that tracks the buildup of short-range antiferromagnetism and a shallow compressibility enhancement upon cooling in the same doping window. To expose the underlying microscopic mechanism, we introduce dopant-conditioned multi-point correlators that quantify how holes reorganize nearby exchange: single holes weaken adjacent antiferromagnetic bonds, while nearest-neighbor hole pairs produce a cooperative response that reinforces antiferromagnetism on the parallel plaquette edge. Over the same parameter window, $d$-wave pairing correlations remain short-ranged. These results provide experiment-compatible thermodynamic-limit benchmarks and establish dopant-conditioned correlators as incisive probes of finite-temperature spin-texture reorganization in doped Mott insulators. |
| title | Finite temperature dopant-induced spin reorganization explored via tensor networks in the two-dimensional $t$-$J$ model |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2510.04756 |