Entanglement entropy of the random spin-1 Heisenberg chain

Abstract

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 log_2 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.

Submitted to PRB; references added

References in corpus (4)

• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum
• Scaling of Entanglement Entropy in the Random Singlet Phase
• Entanglement entropy of aperiodic quantum spin chains

Cited by in corpus (18)

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• Entanglement equipartition in critical random spin chains
• Entanglement spectrum of random-singlet quantum critical points
• Entanglement entropy at infinite randomness fixed points in higher dimensions
• Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model
• Bi-partite entanglement entropy in massive two-dimensional quantum field theory
• Entanglement in spin chains with gradients
• Correlation amplitude and entanglement entropy in random spin chains
• Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplings
• Negativity Spectrum in the Random Singlet Phase
• Entanglement renormalization for disordered systems
• Random elastic networks : strong disorder renormalization approach
• Entanglement area law violation from field-curvature coupling
• Entanglement entropy of the $Q\ge 4$ quantum Potts chain
• Entanglement entropy and localization in disordered quantum chains
• Dynamical properties of the Haldane chain with bond disorder
• Scaling of entanglement entropy at quantum critical points in random spin chains
• Comparative analysis of robust entanglement generation in engineered XX spin chains