caa a22 4500 445320230 CHVBK 20180317142701.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s00023-011-0093-4 doi (NATIONALLICENCE)springer-10.1007/s00023-011-0093-4 Quantization of Edge Currents along Magnetic Barriers and Magnetic Guides [Elektronische Daten] [Nicolas Dombrowski, François Germinet, Georgi Raikov] We investigate the edge conductance of particles submitted to an Iwatsuka magnetic field, playing the role of a purely magnetic barrier. We also consider magnetic guides generated by generalized Iwatsuka potentials. In both cases, we prove quantization of the edge conductance. Next, we consider magnetic perturbations of such magnetic barriers or guides and prove stability of the quantized value of the edge conductance. Further, we establish a sum rule for edge conductances. Regularization within the context of disordered systems is discussed as well. Springer Basel AG, 2011 Dombrowski Nicolas Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna 4860, Santiago de Chile, Chile aut Germinet François Département de Mathématiques, Université de Cergy-Pontoise, CNRS UMR 8088, IUF, 95000, Cergy-Pontoise, France aut Raikov Georgi Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna 4860, Santiago de Chile, Chile aut Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/6(2011-09-01), 1169-1197 1424-0637 12:6<1169 2011 12 23 https://doi.org/10.1007/s00023-011-0093-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00023-011-0093-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dombrowski Nicolas Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna 4860, Santiago de Chile, Chile aut NATIONALLICENCE 700 1- Germinet François Département de Mathématiques, Université de Cergy-Pontoise, CNRS UMR 8088, IUF, 95000, Cergy-Pontoise, France aut NATIONALLICENCE 700 1- Raikov Georgi Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna 4860, Santiago de Chile, Chile aut NATIONALLICENCE 773 0- Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/6(2011-09-01), 1169-1197 1424-0637 12:6<1169 2011 12 23 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer