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Universal Spin Dynamics in Infinite-temperature One-dimensional Quantum Magnets by Dupont, Maxime; Moore, Joel E. is a scholarly article available to read on EtoBox.

What is Universal Spin Dynamics in Infinite-temperature One-dimensional Quantum Magnets about?

We address the nature of spin dynamics in various integrable and non-integrable, isotropic and anisotropic quantum spin-$S$ chains, beyond the paradigmatic $S=1/2$ Heisenberg model. In particular, we investigate the algebraic long-time decay $\propto t^{-1/z}$ of the spin-spin correlation function at infinite temperature, using state-of-the-art simulations based on tensor network methods. We identify three universal regimes for the spin transport, independent of the exact microscopic model: (i) superdiffusive with $z=3/2$, as in the Kardar-Parisi-Zhang universality class, when the model is integrable with extra symmetries such as spin isotropy that drive the Drude weight to zero, (ii) ballistic with $z=1$ when the model is integrable with a finite Drude weight, and (iii) diffusive with $z=2$ with easy-axis anisotropy or without integrability, at variance with previous observations.

Author

Dupont, Maxime; Moore, Joel E.

Published

2019

Language

EN