Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field

DOI10.1007/s00220-020-03907-wzbMath1456.82212arXiv2007.06316OpenAlexW3115397624MaRDI QIDQ2223736

Hajo Leschke, Alexander V. Sobolev, Wolfgang L. Spitzer

Publication date: 1 February 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.06316

zbMATH Keywords

magnetic fieldelectric chargeideal Fermi gas

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Statistical mechanics of gases (82D05) Statistical mechanics of magnetic materials (82D40) Quantum coherence, entanglement, quantum correlations (81P40) Fermionic systems in quantum theory (81V74)

Related Items (3)

Stability of a Szegő-type asymptotics ⋮ Quasi-classical asymptotics for functions of Wiener-Hopf operators: smooth versus non-smooth symbols ⋮ Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains

Cites Work

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• Large block properties of the entanglement entropy of free disordered fermions
• The absence of the selfaveraging property of the entanglement entropy of disordered free fermions in one dimension
• Entanglement entropy and Berezin-Toeplitz operators
• How much delocalisation is needed for an enhanced area law of the entanglement entropy?
• Stability of the enhanced area law of the entanglement entropy
• Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states
• Formulas of Szegő type for the periodic Schrödinger operator
• Upper bounds on the density of states of single Landau levels broadened by Gaussian random potentials
• A Special Case of a Conjecture by Widom with Implications to Fermionic Entanglement Entropy
• Colloquium: Area laws for the entanglement entropy
• Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature
• Entanglement entropy of integer quantum Hall states in polygonal domains
• Lower entropy bounds and particle number fluctuations in a Fermi sea
• Asymptotic Expansions of Traces for Certain Convolution Operators
• Pseudo-differential operators with discontinuous symbols: Widom’s Conjecture
• Szego-Type Theorems for One-Dimensional Schrodinger Operator with Random Potential (Smooth Case)

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