Entanglement entropy of random quantum critical points in one dimension

G. Refael; J. E. Moore

doi:10.1103/physrevlett.93.260602

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arXiv · cond-mat/0406737

Entanglement entropy of random quantum critical points in one dimension

G. Refael·J. E. Moore

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Abstract

For quantum critical spin chains without disorder, it is known that the entanglement of a segment of N>>1 spins with the remainder is logarithmic in N with a prefactor fixed by the central charge of the associated conformal field theory. We show that for a class of strongly random quantum spin chains, the same logarithmic scaling holds for mean entanglement at criticality and defines a critical entropy equivalent to central charge in the pure case. This effective central charge is obtained for Heisenberg, XX, and quantum Ising chains using an analytic real-space renormalization group approach believed to be asymptotically exact. For these random chains, the effective universal central charge is characteristic of a universality class and is consistent with a c-theorem.

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G. Refael, J. E. Moore. 2004-06-30. Entanglement entropy of random quantum critical points in one dimension. https://doi.org/10.1103/physrevlett.93.260602

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