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

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 $1-n\simeq 0.25$, 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.

15 pages, 14 figures

References in corpus (50)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Theory of Intertwined Orders in High Temperature Superconductors
• The ITensor Software Library for Tensor Network Calculations
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Site-resolved measurement of the spin-correlation function in the Hubbard model
• Simulation of strongly correlated fermions in two spatial dimensions with fermionic Projected Entangled-Pair States
• Absence of superconductivity in the pure two-dimensional Hubbard model
• Minimally Entangled Typical Thermal State Algorithms
• Algorithms for finite Projected Entangled Pair States
• Imaging magnetic polarons in the doped Fermi-Hubbard model
• String patterns in the doped Hubbard model
• Fermionic multi-scale entanglement renormalization ansatz
• Ground State Phase Diagram of the $t$-$t^{\prime }$-$J$ model
• Time Evolution of an Infinite Projected Entangled Pair State: an Efficient Algorithm
• A quantum magnetic analogue to the critical point of water
• Beyond-classical computation in quantum simulation
• Pseudogap temperature as a Widom line in doped Mott insulators
• Projected Entangled Pair States at Finite Temperature: Imaginary Time Evolution with Ancillas
• First order phase transition in the anisotropic quantum orbital compass model
• Mott physics and first-order transition between two metals in the normal state phase diagram of the two-dimensional Hubbard model
• Variational Approach to Projected Entangled Pair States at Finite Temperature
• Period 4 stripe in the extended two-dimensional Hubbard model
• Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature
• Numerical Linked-Cluster Algorithms. II. t-J models on the square lattice
• Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model
• Quantum Criticality Due to Incipient Phase Separation in the Two-dimensional Hubbard Model
• Tensor network study of the $m=1/2$ magnetization plateau in the Shastry-Sutherland model at finite temperature
• Competing states in the SU(3) Heisenberg model on the honeycomb lattice: Plaquette valence-bond crystal versus dimerized color-ordered state
• Time evolution of an infinite projected entangled pair state: a neighborhood tensor update
• Origin and fate of the pseudogap in the doped Hubbard model
• A neutral-atom Hubbard quantum simulator in the cryogenic regime
• A beginner's guide to non-abelian iPEPS for correlated fermions
• Tensor network simulation of the Kitaev-Heisenberg model at finite temperature
• Finite temperature tensor network study of the Hubbard model on an infinite square lattice
• Global Phase Diagram of D-wave Superconductivity in the Square-Lattice $t\text{-}J$ Model
• Fluctuating intertwined stripes in the strange metal regime of the Hubbard model
• Finite-temperature symmetric tensor network for spin-1/2 Heisenberg antiferromagnets on the square lattice
• Phase Diagram, $d$-Wave Superconductivity, and Pseudogap of the $t$-$t^{\prime }$-$J$ Model at Finite Temperature
• Simulation of many body localization and time crystals in two dimensions with the neighborhood tensor update
• Observation of emergent scaling of spin-charge correlations at the onset of the pseudogap
• Evidence of attraction between charge-carriers in a doped Mott insulator
• Efficient Representation of Minimally Entangled Typical Thermal States in two dimensions via Projected Entangled Pair States
• Finite-Temperature Kinetic Ferromagnetism in the Square Lattice Hubbard Model
• Forestalled Phase Separation as the Precursor to Stripe Order
• Tuning competition between charge order and superconductivity in the square-lattice $t$-$t^{\prime }$-$J$ model

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