Spin diffusion of the t-J model

Abstract

The spin-diffusion constant of the 2D $t-J$ model is calculated for the first time using an analytical approach at high temperatures and a recently-developed numerical method based on the Lanczos technique combined with random sampling in the intermediate temperature regime. A simple relation, $\sigma =D_s\chi$, between spin conductivity and spin diffusion is established and used to calculate the latter. In the high-temperature and low-doping limit the calculated diffusion constant agrees with known results for the Heisenberg model. At small hole doping, $D_s$ increases approximately linearly with doping, which leads us to an important conclusion that hopping processes enhance spin diffusion at high temperatures. At modest hole doping, $\delta \sim 0.25$, diffusion exhibits a nonmonotonic temperature dependence, which indicates anomalous spin dynamics at small frequencies.

12 pages with figures

References in corpus (2)

• Anomalous Spin Dynamics in Doped Quantum Antiferromagnets
• Thouless number and spin diffusion in quantum Heisenberg ferromagnets

Cited by in corpus (10)

• Spin Transport in a Mott Insulator of Ultracold Fermions
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• Spin conductance, dynamic spin stiffness and spin diffusion in itinerant magnets
• Spin dynamics in lightly doped La${}_{2-x}$Sr${}_x$CuO${}_4$: Relaxation function within the $t-J$ model
• Spin Diffusion in Double-Exchange Manganites
• Thermal conductivity and heat diffusion in the two-dimensional Hubbard model
• Spin dynamics in paramagnetic diluted magnetic semiconductors
• Spin diffusion and spin conductivity in the 2d Hubbard model
• Spin and energy diffusion vs. subdiffusion in disordered spin chains
• Einstein relation for subdiffusive relaxation in Stark chains