### Abstract

We calculate the probability distribution of entanglement entropy S across a cut of a finite one-dimensional spin chain of length L at an infinite-randomness fixed point using Fisher's strong randomness renormalization group (RG). Using the random transverse-field Ising model as an example, the distribution is shown to take the form p(S|L)∼L-ψ(k), where k≡S/lnL/L0, the large deviation function ψ(k) is found explicitly, and L0 is a nonuniversal microscopic length. We discuss the implications of such a distribution on numerical techniques that rely on entanglement, such as matrix-product-state-based techniques. Our results are verified with numerical RG simulations, as well as the actual entanglement entropy distribution for the random transverse-field Ising model which we calculate for large L via a mapping to Majorana fermions.

Original language | English (US) |
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Article number | 104204 |

Journal | Physical Review B |

Volume | 95 |

Issue number | 10 |

DOIs | |

State | Published - Mar 20 2017 |

### All Science Journal Classification (ASJC) codes

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

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## Cite this

*Physical Review B*,

*95*(10), [104204]. https://doi.org/10.1103/PhysRevB.95.104204