Finite-size scaling of pseudocritical point distributions in the random transverse-field Ising chain

Content Provider	Semantic Scholar
Author	Iglói, Ferenc
Copyright Year	2007
Abstract	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−1/ with =2 and the shift of the average value scales as L−1/ typ with typ=1, which we related to the scaling of average and typical quantities in the critical region.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://www.uni-saarland.de/fak7/rieger/Paper/PRB76.064421.pdf
Language	English
Access Restriction	Open
Subject Keyword	Fixed point (mathematics) Fixed-Point Number Image scaling Ising model Magnet Phase Transition Quantity Quantum entanglement Randomness Test scaling Transverse wave width
Content Type	Text
Resource Type	Article