The edge spectrum of Chern insulators with rough boundaries

DOI10.1063/1.3204511zbMath1298.81088arXiv0809.2569OpenAlexW3100483429MaRDI QIDQ3069201

Emil Prodan

Publication date: 24 January 2011

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

Full work available at URL: https://arxiv.org/abs/0809.2569

zbMATH Keywords

numerical analysiselectronic density of statesmathematical operators

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Noncommutative geometry in quantum theory (81R60)

Related Items (4)

Non-commutative tools for topological insulators ⋮ Quantization of edge currents along magnetic interfaces: a \(K\)-theory approach ⋮ Controlled topological phases and bulk-edge correspondence ⋮ Středa formula for charge and spin currents

Cites Work

• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• Edge and impurity effects on quantization of Hall currents
• Equality of bulk and edge Hall conductance revisited
• Quantization of edge currents for continuous magnetic operators
• Equality of the bulk and edge Hall conductances in a mobility gap
• Norm estimates of complex symmetric operators applied to quantum systems
• Topological quantization of ensemble averages
• An edge index for the quantum spin-Hall effect
• EDGE CURRENT CHANNELS AND CHERN NUMBERS IN THE INTEGER QUANTUM HALL EFFECT
• Chern number and edge states in the integer quantum Hall effect
• Simultaneous quantization of edge and bulk Hall conductivity
• ON THE INDEX OF FAMILIES OF WIENER-HOPF OPERATORS

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