Entanglement in the Majumdar-Ghosh model

Abstract

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 $J_2=J_2^{\ast }\approx 0.2411J_1$. Additionally, we also consider entanglement at the MG point $J_2=0.5J_1$.

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References in corpus (14)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• Scaling of Entanglement close to a Quantum Phase Transitions
• Geometric and Renormalized Entropy in Conformal Field Theory
• Entanglement in a simple quantum phase transition
• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Boundary effects in the critical scaling of entanglement entropy in 1D systems
• Localizable Entanglement
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Local Measures of Entanglement and Critical Exponents at Quantum Phase Transitions
• Local entanglement and quantum phase transition in 1D transverse field Ising model
• Characterizing entanglement by momentum-jump in the frustrated Heisenberg ring at quantum phase transition

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