Topology and phases in fermionic systems

DOI10.1088/1742-5468/2008/01/L01001zbMath1456.81487arXiv0710.3324OpenAlexW1989399625MaRDI QIDQ5239416

Matthew B. Hastings

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3324

zbMATH Keywords

entanglement in extended quantum systems (theory)

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Quantum measurement theory, state operations, state preparations (81P15)

Related Items

Almost commuting unitary matrices related to time reversal ⋮ The stability of free fermi Hamiltonians ⋮ Hall conductance and the statistics of flux insertions in gapped interacting lattice systems ⋮ Topological insulators and \(C^{*}\)-algebras: theory and numerical practice ⋮ Construction of real-valued localized composite Wannier functions for insulators

Cites Work

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• Anyons in an exactly solved model and beyond
• Lieb-Robinson bounds and the exponential clustering theorem
• Spectral gap and exponential decay of correlations
• Finitely correlated states on quantum spin chains
• Triviality of Bloch and Bloch-Dirac bundles
• Operator algebras and their applications
• Spin Chains and Channels with Memory
• Almost commuting Hermitian matrices.
• Almost commuting self-adjoint matrices - a short proof of Huaxin Lin's theorem.

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