Entanglement entropy at infinite randomness fixed points in higher dimensions

Abstract

The entanglement entropy of the two-dimensional random transverse Ising model is studied with a numerical implementation of the strong disorder renormalization group. The asymptotic behavior of the entropy per surface area diverges at, and only at, the quantum phase transition that is governed by an infinite randomness fixed point. Here we identify a double-logarithmic multiplicative correction to the area law for the entanglement entropy. This contrasts with the pure area law valid at the infinite randomness fixed point in the diluted transverse Ising model in higher dimensions.

References updated; Accepted for publication in Phys. Rev. Lett

References in corpus (10)

• 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
• Entanglement scaling in critical two-dimensional fermionic and bosonic systems
• Entanglement entropy of aperiodic quantum spin chains
• Valence Bond Entanglement Entropy
• Increasing of entanglement entropy from pure to random quantum critical chains
• Entanglement entropy of the random spin-1 Heisenberg chain
• Finite-size scaling of pseudo-critical point distributions in the random transverse-field Ising chain
• Entanglement Entropy in Random Quantum Spin-S Chains
• Strong disorder renormalization group study of S=1/2 Heisenberg antiferromagnet layers/bilayers with bond randomness, site dilution and dimer dilution

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• Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model
• Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplings
• Finite Size Corrections to Entanglement in Quantum Critical Systems
• Non equilibrium dynamics of disordered systems : understanding the broad continuum of relevant time scales via a strong-disorder RG in configuration space
• Non-equilibrium dynamics of finite-dimensional disordered systems : RG flow towards an "infinite disorder" fixed point at large times