Refael, G. and Moore, J. E. (2004) Entanglement Entropy of Random Quantum Critical Points in One Dimension. Physical Review Letters, 93 (26). Art. No. 260602. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:REFprl04
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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.
|Additional Information:||©2004 The American Physical Society (Received 29 June 2004; published 21 December 2004) We gratefully acknowledge useful conversations with L. Balents, A. Kitaev, A.W.W. Ludwig, J. Preskill, and G. Vidal, and support from NSF PHY99-07949, DMR-0238760, and the Hellman Foundation.|
|Subject Keywords:||critical points; quantum entanglement; Ising model; Heisenberg model|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||09 Jan 2007|
|Last Modified:||18 Sep 2014 18:11|
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