Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model

Abstract

Using determinant quantum Monte Carlo (DQMC) simulations, we systematically study the doping dependence of the crossover from one to two dimensions and its impact on the magnetic properties of the Hubbard model. A square lattice of chains is used, in which the dimensionality can be tuned by varying the interchain coupling $t_{\perp }$. The dynamical spin structure factor and static quantities, such as the static spin susceptibility and nearest-neighbor spin correlation function, are characterized in the one- and two-dimensional limits as a benchmark. When the dimensionality is tuned between these limits, the magnetic properties, while evolving smoothly from one to two dimensions, drastically change regardless of the doping level. This suggests that the spin excitations in the two-dimensional Hubbard model, even in the heavily doped case, cannot be explained using the spinon picture known from one dimension. The DQMC calculations are complemented by cluster perturbation theory studies to form a more complete picture of how the crossover occurs as a function of doping and how doped holes impact magnetic order.

14 pages, 9 figures

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Cited by in corpus (15)

• Superconductivity in high-$T_c$ and related strongly correlated systems from variational perspective: Beyond mean field theory
• Thermodynamics and magnetism in the 2D-3D crossover of the Hubbard model
• Numerical Investigation of Spin Excitations in a Doped Spin Chain
• Ground state and spectral properties of the doped one-dimensional optical Hubbard-Su-Schrieffer-Heeger model
• Spectroscopic signatures of next-nearest-neighbor hopping in the charge and spin dynamics of doped one-dimensional antiferromagnets
• Influence of Magnetism and Correlation on the Spectral Properties of Doped Mott Insulators
• Dynamical DMRG study of spin and charge excitations in the four-leg t-t'-J ladder
• Two-particle Correlation Functions in Cluster Perturbation Theory: Hubbard Spin Susceptibilities
• Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
• Universal collective modes from strong electronic correlations: Modified $1/{\mathcal{N}}_f$ theory with application to high-$T_c$ cuprates
• Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime
• One- and two-particle correlation functions in the cluster perturbation theory for cuprates
• Quantum Dimensional Transition in Spin-$\frac{1}{2}$ Antiferromagnetic Heisenberg Model on A Square Lattice and Space Reduction in Matrix Product State
• The fate of the spin polaron in the 1D antiferromagnets
• A light-induced charge order mode in a metastable cuprate ladder