2007/04/10 by Ferenc Iglói, Yu-Cheng Lin, Yu‐Cheng Lin +2 · 1 citation
Mathematics · Physics and Astronomy · #Quantum many-body systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.76.064421
published as Phys. Rev. B 76, 064421 (2007) · 4 pages, 2 figures
arxiv created 2007/04/10 · openalex publication_date 2007/08/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the distribution of finite-size pseudocritical points in a one-dimensional random quantum magnet with a quantum phase transition described by an infinite randomness fixed point. Pseudocritical points are defined in three different ways: the position of the maximum of the average entanglement entropy, the scaling behavior of the surface magnetization, and the energy of a soft mode. All three lead to a log-normal distribution of the pseudocritical transverse fields, where the width scales as L^\ensuremath-1∕\ensuremathν with \ensuremathν=2 and the shift of the average value scales as L^\ensuremath-1∕\ensuremathνtyp with \ensuremathνtyp=1, which we related to the scaling of average and typical quantities in the critical region.