Recent studies have shown that logarithmic divergence of entanglement entropy as a function of the size of a subsystem is a signature of criticality in quantum models. We demonstrate that the ground-state entanglement entropy of n sites for the ferromagnetic Heisenberg spin- 1/2 chain of the length L in a sector with fixed magnetization y per site grows as 1/2log2fnsL−nd /LgCsyd, where Csyd=2pes14 −y2d.
Logarithmic divergence of the block entanglement entropy for the ferromagnetic Heisenberg model
SALERNO, Mario
2005
Abstract
Recent studies have shown that logarithmic divergence of entanglement entropy as a function of the size of a subsystem is a signature of criticality in quantum models. We demonstrate that the ground-state entanglement entropy of n sites for the ferromagnetic Heisenberg spin- 1/2 chain of the length L in a sector with fixed magnetization y per site grows as 1/2log2fnsL−nd /LgCsyd, where Csyd=2pes14 −y2d.File in questo prodotto:
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