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/v with v =2 and the shift of the average value scales as L-1/vtyp with vtyp=1, which we related to the scaling of average and typical quantities in the critical region.
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|Publication status||Published - Aug 1 2007|
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics