Subarea Law of Entanglement in Nodal Fermionic Systems

2008/01/31 by Letian Ding, Noah Bray-Ali, Rong Yu +1
Mathematics · Physics and Astronomy · #Critical point (mathematics) #Entropy (arrow of time) #Geometry #Law #Logarithm #Mathematical analysis #Mathematics #Physics #Physics of Superconductivity and Magnetism #Political science #Power law #Quantum #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Scaling #Scaling law #Statistical physics #cond-mat.stat-mech #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physrevlett.100.215701

published as Phys. Rev. Lett. 100, 215701 (2008) · 4 pages,4 figures; published version

openalex publication_date 2008/05/30 · arxiv created 2008/09/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the subarea-law scaling behavior 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 noncritical regimes, the subarea scaling shows power-law behavior.

Citations

• Universality of Entropy Scaling in One Dimensional Gapless Models
• Topological phases and topological entropy of two-dimensional systems with finite correlation length
• Detecting Topological Order in a Ground State Wave Function
• Statistics Dependence of the Entanglement Entropy
• Entanglement versus Correlations in Spin Systems
• Calculation of reduced density matrices from correlation functions