Spin and energy correlations in the one dimensional spin 1/2 Heisenberg model

TL;DR

This paper investigates the spin and energy correlations in the 1D spin 1/2 Heisenberg model, revealing the absence of diffusion due to persistent currents, using exact diagonalization techniques.

Contribution

It provides new evidence for non-diffusive behavior in the anisotropic Heisenberg model through numerical analysis of current decay.

Findings

Spin and energy currents decay to finite values at long times

No evidence of spin and energy diffusion in the model

Persistent currents indicate ballistic transport

Abstract

In this paper, we study the spin and energy dynamic correlations of the one dimensional spin 1/2 Heisenberg model, using mostly exact diagonalization numerical techniques. In particular, observing that the uniform spin and energy currents decay to finite values at long times, we argue for the absence of spin and energy diffusion in the easy plane anisotropic Heisenberg model.