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Finite temperature dopant-induced spin reorganization explored via tensor networks in the two-dimensional t−J model

Yintai Zhang1,2, Aritra Sinha3, Marek M. Rams2,4, and Jacek Dziarmaga2,4

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Phys. Rev. B 113, 085113 – Published 9 February, 2026

DOI: https://doi.org/10.1103/6pcg-qq4p

Abstract

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≃0.25, and provide benchmark thermodynamic-limit results for the specific heat, uniform susceptibility, and charge compressibility. We identify a susceptibility maximum T* 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 multipoint 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.

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Phys. Rev. B 113, 085113– Published 9 February, 2026
  • Received 2 November 2025
  • Revised 18 January 2026
  • Accepted 22 January 2026
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