Universal logarithmic terms in the entanglement entropy of 2d, 3d and 4d random transverse-field Ising models

Abstract

The entanglement entropy of the random transverse-field Ising model is calculated by a numerical implementation of the asymptotically exact strong disorder renormalization group method in 2d, 3d and 4d hypercubic lattices for different shapes of the subregion. We find that the area law is always satisfied, but there are analytic corrections due to E-dimensional edges (1<=E<=d-2). More interesting is the contribution arising from corners, which is logarithmically divergent at the critical point and its prefactor in a given dimension is universal, i.e. independent of the form of disorder.

6 pages, 5 figures

References in corpus (15)

• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Entanglement spectrum in one-dimensional systems
• 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
• Scaling of Entanglement Entropy in the Random Singlet Phase
• Anomalies in the Entanglement Properties of the Square Lattice Heisenberg Model
• Entanglement Entropy of the Two-Dimensional Heisenberg Antiferromagnet
• Entanglement entropy dynamics of disordered quantum spin chains
• Entanglement entropy at infinite randomness fixed points in higher dimensions
• Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model
• Renormalization group study of random quantum magnets
• Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplings
• Finite-size scaling of pseudo-critical point distributions in the random transverse-field Ising chain
• Random Transverse Field Ising Model in dimension $d>1$ : scaling analysis in the disordered phase from the Directed Polymer model
• Random Transverse Field Ising Model in dimension $d=2,3$ : Infinite Disorder scaling via a non-linear transfer approach

Cited by in corpus (36)

• Quantum entanglement in condensed matter systems
• The entanglement negativity in random spin chains
• Entanglement equipartition in critical random spin chains
• Strong Disorder RG approach - a short review of recent developments
• Scaling of entanglement entropy at deconfined quantum criticality
• Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations
• Many-Body Localization : construction of the emergent local conserved operators via block real-space renormalization
• Negativity Spectrum in the Random Singlet Phase
• Unusual area-law violation in random inhomogeneous systems
• Generalizing the entanglement entropy of singular regions in conformal field theories
• Adaptive-weighted tree tensor networks for disordered quantum many-body systems
• Corner contribution to percolation cluster numbers
• Complex quantum network models from spin clusters
• Probability distribution of the entanglement across a cut at an infinite-randomness fixed point
• Entanglement entropy of the long-range Dyson hierarchical model
• Cubic trihedral corner entanglement for a free scalar
• Corner contribution to cluster numbers in the Potts model
• Dyson Hierarchical Long-Ranged Quantum Spin-Glass via real-space renormalization
• Periodically driven random quantum spin chains : Real-Space Renormalization for Floquet localized phases
• Corner contribution to percolation cluster numbers in three dimensions
• One-dimensional Ising spin-glass with power-law interaction : real-space renormalization at zero temperature
• Holographic Approach to Entanglement Entropy in Disordered Systems
• Block Renormalization for quantum Ising models in dimension $d=2$ : applications to the pure and random ferromagnet, and to the spin-glass
• Probing trihedral corner entanglement for Dirac fermions
• Numerical evidence of the double-Griffiths phase of the random quantum Ashkin-Teller chain
• Fractal dimension of spin glasses interfaces in dimensions $d=2$ and $d=3$ via strong disorder renormalization at zero temperature
• Random Transverse Field Ising model in $d=2$ : analysis via Boundary Strong Disorder Renormalization
• Logarithmic entanglement growth in two-dimensional disordered fermionic systems
• Random Transverse Field Ising model on the Cayley Tree : analysis via Boundary Strong Disorder Renormalization
• Entanglement entropy and localization in disordered quantum chains
• Entanglement entropy of random partitioning
• Cluster tomography in percolation
• Multipartite Entanglement in the Random Ising Chain
• Universal divergence of the Renyi entropy of a thinly sliced torus at the Ising fixed point
• Boundary critical phenomena of the random transverse Ising model in D>=2 dimensions
• Excess entropy and central charge of the two-dimensional random-bond Potts model in the large-Q limit