Corrections to scaling for block entanglement in massive spin-chains

TL;DR

This paper investigates how block entanglement entropy in massive spin chains deviates from conformal predictions, revealing a unique correction scaling related to the correlation length and relevant operator dimensions.

Contribution

It demonstrates that corrections to entanglement scaling near critical points follow a novel xi^(-x/n) form, connecting corner transfer matrices with conformal field theory insights.

Findings

Corrections to entanglement scale as xi^(-x/n) near criticality.

The correction form is linked to the dimension of relevant operators.

Results apply broadly to massive 1D models near conformal points.

Abstract

We consider the Renyi entropies S_n in one-dimensional massive integrable models diagonalizable by means of corner transfer matrices (as Heisenberg and Ising spin chains). By means of explicit examples and using the relation of corner transfer matrix with the Virasoro algebra, we show that close to a conformal invariant critical point, when the correlation length xi is finite but large, the corrections to the scaling are of the unusual form xi^(-x/n), with x the dimension of a relevant operator in the conformal theory. This is reminiscent of the results for gapless chains and should be valid for any massive one-dimensional model close to a conformal critical point.