Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-08-23
Phys.Rev.B83:012402,2011
Physics
Condensed Matter
Statistical Mechanics
5 pages, 2 figures
Scientific paper
10.1103/PhysRevB.83.012402
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.
Ercolessi Elisa
Evangelisti Stefano
Franchini Fabio
Ravanini Francesco
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