Essential singularity in the Renyi entanglement entropy of the one-dimensional XYZ spin-1/2 chain

Abstract

We study the Renyi entropy of the one-dimensional XYZ spin-1/2 chain in the entirety of its phase diagram. The model has several quantum critical lines corresponding to rotated XXZ chains in their paramagnetic phase, and four tri-critical points where these phases join. Two of these points are described by a conformal field theory and close to them the entropy scales as the logarithm of its mass gap. The other two points are not conformal and the entropy has a peculiar singular behavior in their neighbors, characteristic of an essential singularity. At these non-conformal points the model undergoes a discontinuous transition, with a level crossing in the ground state and a quadratic excitation spectrum. We propose the entropy as an efficient tool to determine the discontinuous or continuous nature of a phase transition also in more complicated models.

5 pages, 2 figures

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• Shared information in classical mean-field models
• Thermodynamics of a spin-1/2 XYZ Heisenberg chain with a Dzyaloshinskii-Moriya interaction
• Quantum Correlations in Field Theory and Integrable Systems
• Approaching the RSOS critical points through entanglement: one model for many universalities
• Entanglement entropy of two disjoint intervals and spin structures in interacting chains in and out of equilibrium
• Quantum simulation of spin-1/2 XYZ model using solid-state spin centers
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