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Cited by:
N. Raymond, Une excursion semi-classique dans l’univers des guides d’ondes, Gaz. Math., No. 131 (2012), 5-15.
A. Taarabt, Localisation dynamique et égalité des conductances de Hall pour des opérateurs de Schrödinger magnétiques aléatoires, Thèse de Doctorat, Université de Cergy-Pontoise, 2013.
N. Raymond, Breaking a magnetic zero locus: Asymptotic analysis, Math. Models Methods Appl. Sci. 24 (2014), 2785–2817.
N. Raymond, Geometry and bound states of the magnetic Schrödinger operator, Mémoire d’Habilatation à Diriger les Recherches, Université de Rennes 1, 2014.
M. Kotani, H. Schulz-Baldes, C. Villegas-Blas, Quantization of interface currents, J. Math. Phys. 55 (2014), 121901, 9 pp.
P. D. Hislop, E. Soccorsi, Edge states induced by Iwatsuka Hamiltonians with positive magnetic fields, J. Math. Anal. Appl. 422 (2015), 594–624.
P. Exner, H. Kovarık, Quantum Waveguides, Theoretical and Mathematical Physics, Springer, Berlin-New York, 2015.
H. D. Cornean, R. Purice, Spectral edge regularity of magnetic Hamiltonians, J. London Math. Soc. 92 (2015), 89-104.
P. D. Hislop, N. Popoff, N. Raymond, M. P. Sundqvist, Band functions in the presence of magnetic steps, Math. Models Methods Appl. Sci. 26 (2016), 161-184.
P. Miranda, Eigenvalue asymptotics for a Schrödinger operator with nonconstant magnetic field along one direction, Ann. H. Poincaré, 17 (2016), 1713-1736.
M. Tusek, On an extension of the Iwatsuka model, J. Phys. A: Math. Theor. 49 (2016), 365205, 13pp.
N. Raymond, Bound States of the Magnetic Schrödinger Operator, EMS Tracts in Mathematics 27, EMS, Z ̈urich, 2017.
P. Miranda, N. Popoff, Spectrum of the Iwatsuka Hamiltonian at thresholds, J. Math. Anal. Appl. 460 (2018), 516-545.
P. Exner, T. Kalvoda, and M. Tušek, A geometric Iwatsuka type effect in quantum layers, Journal of Mathematical Physics 59 (2018), 042105.
N. Popoff, Magnetic fields and boundary conditions in spectral and asymptotic analysis, Mémoire d’Habilatation à Diriger les Recherches, Université de Bordeaux, 2019.
J. Asch, O. Bourget, A. Joye, Chirality induced interface currents in the Chalker-Goddington model, J. Spectral Theory 9 (2019), 1405-1429.
Esteban Andrés Gutierrez Cordero, Quantization of Edge Currents along Magnetic Interfaces : A K-Theory Approach, Master thesis, Pontificia Universidad Católica de Chile, 2020.
Giuseppe De Nittis, Esteban Gutiérrez, Quantization of edge currents along magnetic interfaces: A K-theory approach, Acta Applicandae Mathematicae 175 (2021), article number: 6.
Danilo Polo Ojito, Interface currents and corner states in magnetic quarter-plane systems, Preprint arXiv:2212.06234, 2022.
Tom Stoiber, Index theory and bulk-boundary correspondence of topological insulators and semimetals, Ph.D. Thesis, Friedrich-Alexander-Universität Erlangen-Nürnberg, 2023.
Guillaume Bal, Topological charge conservation for continuous insulators, J. Math. Phys. 64 (2023), article number: 031508.
Arianna Giunti, Juan J. L. Velázquez, Edge states for generalised Iwatsuka models: Magnetic fields having a fast transition across a curve, Ann. Henri Poincaré 24 (2023), 73–105.
D.P. Ojito, C*-Algebraic methods for transport phenomena, Ph.D. thesis, Pontificia Universidad Católica de Chile, 2023.
Mourad Choulli, Nour Kerraoui, Eric Soccorsi, Determining an Iwatsuka Hamiltonian through quantum velocity measurement, Preprint arXiv:2305.03320, 2023.
Solomon Quinn, Asymmetric Transport in Continuous Topological Insulators, Ph.D. thesis, University of Chicago, 2023.
Abhijeet Alase, Emilio Cobanera, Gerardo Ortiz, Lorenza Viola, Wiener–Hopf factorization approach to a bulk-boundary correspondence and stability conditions for topological zero-energy modes, Annals of Physics 458 (2023), part 3, article 169457, 47 pp.
S. Chen, New critical point theorem and infinitely many small-magnitude solutions of a nonlinear Iwatsuka model, J. Math. Anal. Appl. 529 (2024), no.1, 127605.
Guillaume Bal, Semiclassical propagation along curved domain walls, SIAM Journal on Multiscale Modeling and Simulation, 22 (2024), no.1, 66-105.
Solomon Quinn, Guillaume Bal, Asymmetric transport for magnetic Dirac equations, Pure and Applied Analysis 6 (2024), no. 2, 353–377.