Absence of finite size correction at the combinatorial point of the integrable higher spin XXZ chain

TL;DR

This paper studies the higher spin XXZ chain at a special point, providing a method to evaluate groundstate energies exactly and showing that finite size corrections are absent at this point.

Contribution

It introduces a new method to compute the exact eigenvalues of the Hamiltonian for finite chains using the Baxter Q operator, revealing the absence of finite size corrections.

Findings

Exact groundstate eigenvalues derived for finite chains

No finite size correction to the groundstate energy at the Razumov-Stroganov point

Strong evidence supporting the conjecture of absence of finite size effects

Abstract

We investigate the integrable higher spin XXZ chain at the Razumov-Stroganov point. We present a method to evaluate the exact value of the eigenvalue which is conjectured to correspond to the groundstate of the Hamiltonian for finite size chain from the Baxter Q operator. This allows us to examine the exact total energy difference between different number of total sites, from which we find strong evidence for the absence of finite size correction to the groundstate energy.