Entanglement in the Majumdar-Ghosh model

Details Entanglement in the Majumdar-Ghosh model Entanglement in the Majumdar-Ghosh model

2006-10-13

arxiv.org/abs/cond-mat/0610379v1

Phys. Rev. A 75, 032340 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

7 figures

Scientific paper

10.1103/PhysRevA.75.032340

We present an analysis of the entanglement characteristics in the Majumdar-Ghosh (MG) or $J_{1}$-$J_{2}$ Heisenberg model. For a system consisting of up to 28 spins, there is a deviation from the scaling behaviour of the entanglement entropy characterizing the unfrustrated Heisenberg chain as soon as $J_{2} >0.25$. This feature can be used as an indicator of the dimer phase transition that occurs at $J_{2} = J_{2}^{*} \approx 0.2411 J_{1}$. Additionally, we also consider entanglement at the MG point $J_{2}=0.5 J_{1}$.

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