Partial entropy in finite-temperature phase transitions
arXiv:cond-mat/0605460 · doi:10.1103/PhysRevB.75.172401
Abstract
It is shown that the von Neumann entropy, a measure of quantum entanglement, does have its classical counterpart in thermodynamic systems, which we call partial entropy. Close to the critical temperature the partial entropy shows perfect finite-size scaling behavior even for quite small system sizes. This provides a powerful tool to quantify finite-temperature phase transitions as demonstrated on the classical Ising model on a square lattice and the ferromagnetic Heisenberg model on a cubic lattice.
4 pages, 6 figures, Revised version
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