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Entanglement entropy of the random s=1 Heisenberg chain

Refael, G. and Moore, J. E. (2007) Entanglement entropy of the random s=1 Heisenberg chain. Physical Review B, 76 (2). Art. No. 024419. ISSN 1098-0121. doi:10.1103/PhysRevB.76.024419.

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Random spin chains at quantum critical points exhibit an entanglement entropy between a segment of length L and the rest of the chain that scales as log2 L with a universal coefficient. Since for pure quantum critical spin chains this coefficient is fixed by the central charge of the associated conformal field theory, the universal coefficient in the random case can be understood as an effective central charge. In this paper we calculate the entanglement entropy and effective central charge of the spin-1 random Heisenberg model in its random-singlet phase and also at the critical point at which the Haldane phase breaks down. The latter is the first entanglement calculation for an infinite-randomness fixed point that is not in the random-singlet universality class. Our results are consistent with a c-theorem for flow between infinite-randomness fixed points. The formalism we use can be generally applied to calculation of quantities that depend on the RG history in s>=1 random Heisenberg chains.

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Additional Information:©2007 The American Physical Society (Received 14 March 2007; published 13 July 2007) The authors gratefully acknowledge useful conversations with A. Kitaev, I. Klich, A.W.W. Ludwig, J. Preskill, and R. Santachiara, the hospitality of the Kavli Institute for Theoretical Physics, and support from NSF Grants Nos. PHY05-51164, PHY99-07949, and DMR-0238760.
Subject Keywords:Heisenberg model; critical points; quantum entanglement; entropy; random processes
Issue or Number:2
Record Number:CaltechAUTHORS:REFprb07c
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8453
Deposited By: Archive Administrator
Deposited On:14 Aug 2007
Last Modified:08 Nov 2021 20:50

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