Zero dimensional area law in a gapless fermion system

D. J. Miller; G. C. Levine

Zero dimensional area law in a gapless fermion system

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arxiv 0711.0957 v2 pith:JKHBFA4M submitted 2007-11-06 cond-mat.str-el

G. C. Levine , D. J. Miller This is my paper · ORCID

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The entanglement entropy of a gapless fermion subsystem coupled to a gapless bulk by a "weak link" is considered. It is demonstrated numerically that each independent weak link contributes an entropy proportional to lnL, where L is linear dimension of the subsystem.

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The Eigenstate Thermalization Hypothesis in a Quantum Point Contact Geometry
cond-mat.stat-mech 2025-01 conditional novelty 5.0 of 10

For two free-fermion lattices connected by a few quantum point contacts, the entanglement entropy of typical excited eigenstates grows only linearly with subsystem size, not extensively.

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