Nonadditive entropy for random quantum spin-S chains

TL;DR

This paper studies how Tsallis entropy scales in disordered quantum spin-S chains, revealing that for certain entropic indices, the entropy becomes extensive, with values depending solely on the spin magnitude and linked to the model's effective central charge.

Contribution

It introduces a novel analysis of Tsallis entropy scaling in disordered quantum spin chains, connecting the entropic index to spin magnitude and central charge.

Findings

Extensive entropy scaling occurs at specific entropic indices.

The entropic index depends only on the spin magnitude S.

The entropic behavior is related to the effective central charge.

Abstract

We investigate the scaling of Tsallis entropy in disordered quantum spin-S chains. We show that an extensive scaling occurs for specific values of the entropic index. Those values depend only on the magnitude S of the spins, being directly related with the effective central charge associated with the model.