2012/03/31 by Dmitri A. Ivanov, Alexander G. Abanov · 1 citation
Physics and Astronomy · #cond-mat.str-el #cond-mat.mes-hall #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreve.87.022114
published as Phys. Rev. E 87, 022114 (2013) · 6 pages, section on Lee-Yang zeros added, published version
arxiv created 2013/04/15 · arxiv updated 2013/04/16
We propose to describe correlations in classical and quantum systems in terms of full counting statistics of a suitably chosen discrete observable. The method is illustrated with two exactly solvable examples: the classical one-dimensional Ising model and the quantum spin-1/2 XY chain. For the one-dimensional Ising model, our method results in a phase diagram with two phases distinguishable by the long-distance behavior of the Jordan-Wigner strings. For the quantum XY chain, the method reproduces the previously known phase diagram.