Characterization of bulk states in one-edge quantum Hall systems

DOI10.1007/s00023-014-0388-3zbMath1333.81450arXiv1402.4574OpenAlexW1995249494MaRDI QIDQ5962766

Peter D. Hislop, Eric Soccorsi, Nicolas Popoff

Publication date: 23 February 2016

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4574

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70)

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Cites Work

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• Edge states induced by Iwatsuka Hamiltonians with positive magnetic fields
• Krein's formula and one-dimensional multiple-well
• Double wells
• Some propagation properties of the Iwatsuka model
• The Mourre theory for analytically fibered operators
• On the extended nature of edge states of quantum Hall Hamiltonians
• Superconductivity between \(H_{C_2}\) and \(H_{C_3}\)
• On the ground state energy of the Laplacian with a magnetic field created by a rectilinear current
• On spectral properties of translationally invariant magnetic Schrödinger operators
• Parameter and domain dependence of eigenvalues of elliptic partial differential equations
• Edge currents and eigenvalue estimates for magnetic barrier Schrödinger operators
• Multiple wells in the semi-classical limit I
• EDGE CURRENTS FOR QUANTUM HALL SYSTEMS I: ONE-EDGE, UNBOUNDED GEOMETRIES
• Modélisation du champ de retard à la condensation d'un supraconducteur par un problème de bifurcation
• Generalizations of Temple's Inequality
• Magnetic strip waveguides
• Microlocal Analysis, Sharp Spectral Asymptotics and Applications I
• Dirichlet and Neumann eigenvalues for half-plane magnetic Hamiltonians