### 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/v} with v =2 and the shift of the average value scales as L^{-1/vtyp} with v_{typ}=1, which we related to the scaling of average and typical quantities in the critical region.

Original language | English |
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Article number | 064421 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 76 |

Issue number | 6 |

DOIs | |

Publication status | Published - Aug 1 2007 |

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

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## Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*76*(6), [064421]. https://doi.org/10.1103/PhysRevB.76.064421