dc.contributor.author | Downing, CA | |
dc.contributor.author | Portnoi, ME | |
dc.date.accessioned | 2016-11-01T14:36:22Z | |
dc.date.issued | 2016-10-10 | |
dc.description.abstract | We show how it is possible to trap two-dimensional massless Dirac fermions in spatially inhomogeneous magnetic fields, as long as the formed magnetic quantum dot (or ring) is of a slowly decaying nature. It is found that a modulation of the depth of the magnetic quantum dot leads to successive confinement-deconfinement transitions of vortexlike states with a certain angular momentum, until a regime is reached where only states with one sign of angular momentum are supported. We illustrate these characteristics with both exact solutions and a hitherto unknown quasi-exactly solvable model utilizing confluent Heun functions. | en_GB |
dc.description.sponsorship | We acknowledge financial support from the CNRS through the PICS program (Contract No. 6384 APAG) and from the ANR under Grant No. ANR-14-CE26-0005 Q-MetaMat, as well as support from the EU H2020 RISE project CoExAN (Grant No. H2020-644076), EU FP7 ITN NOTEDEV (Grant No. FP7-607521), and the FP7 IRSES projects CANTOR (Grant No. FP7-612285), QOCaN (Grant No. FP7-316432), and InterNoM (Grant No. FP7-612624). | en_GB |
dc.identifier.citation | Vol. 94, No. 16, Article number: 165407 | en_GB |
dc.identifier.doi | 10.1103/PhysRevB.94.165407 | |
dc.identifier.uri | http://hdl.handle.net/10871/24192 | |
dc.language.iso | en | en_GB |
dc.publisher | American Physical Society | en_GB |
dc.rights | This is the final version. Available from the American Physical Society via the DOI in this record. | en_GB |
dc.subject | graphene | en_GB |
dc.subject | quantum confinement | en_GB |
dc.subject | Dirac fermions | en_GB |
dc.subject | non-uniform magnetic field | en_GB |
dc.title | Massless Dirac fermions in two dimensions: Confinement in nonuniform magnetic fields | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2016-11-01T14:36:22Z | |
dc.identifier.issn | 0163-1829 | |
exeter.article-number | 165407 | en_GB |
dc.identifier.eissn | 2469-9969 | |
dc.identifier.journal | Physical Review B - Condensed Matter and Materials | en_GB |