Subarea law of entanglement in nodal fermionic systems

Abstract

We investigate the subarea law scaling properties of the block entropy in bipartite fermionic systems which do not have a finite Fermi surface. It is found that in gapped regimes the leading subarea term is a negative constant, whereas in critical regimes with point nodes the leading subarea law is a logarithmic additive term. At the phase boundary that separates the critical and non-critical regimes, the subarea scaling shows power-law behavior.

4 pages,4 figures; published version

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• Average eigenstate entanglement entropy of the XY chain in a transverse field and its universality for translationally invariant quadratic fermionic models
• Finite-temperature entanglement negativity of free fermions
• Entanglement and particle correlations of Fermi gases in harmonic traps
• Topological order in paired states of fermions in two-dimensions with breaking of parity and time-reversal symmetries
• Renyi entropy, mutual information, and fluctuation properties of Fermi liquids
• Conformal Field Theory on the Fermi Surface
• Entanglement Scaling of Fractional Quantum Hall states through Geometric Deformations
• Edge Mode Combinations in the Entanglement Spectra of Non-Abelian Fractional Quantum Hall States on the Torus
• The negativity contour: a quasi-local measure of entanglement for mixed states
• Measuring entanglement entropy and its topological signature for phononic systems
• Precise Determination of Quantum Critical Points by the Violation of the Entropic Area Law
• Entanglement Spectrum as a Probe for the Topology of a Spin-Orbit Coupled Superconductor
• Oscillating terms in the Renyi entropy of Fermi liquids
• Entanglement Entropy of the Low-Lying Excited States and Critical Properties of an Exactly Solvable Two-Leg Spin Ladder with Three-Spin Interactions
• Equilibrium and nonequilibrium entanglement properties of 2D and 3D Fermi gases
• The scaling of entanglement entropy in a honeycomb lattice on a torus
• Universal Finite-Size Corrections of the Entanglement Entropy of Quantum Ladders and the Entropic Area Law
• Analytic Expression for the Entanglement Entropy of a 2D Topological Superconductor
• Entanglement scaling behaviors of free fermions on hyperbolic lattices
• Volume-law entanglement entropy of typical pure quantum states