Majorana Fermions in Topological Quantum Matter

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dc.contributor.authorLaurell, Pontus
dc.contributor.departmentChalmers tekniska högskola / Institutionen för fundamental fysiksv
dc.contributor.departmentChalmers University of Technology / Department of Fundamental Physicsen
dc.date.accessioned2019-07-03T12:58:00Z
dc.date.available2019-07-03T12:58:00Z
dc.date.issued2012
dc.description.abstractTwo-dimensional topological insulators coupled to s-wave superconductors and external magnetic fields have been predicted to support Majorana edge states. The stability of these states against electron-electron interactions and spin-orbit interactions of Rashba and Dresselhaus type are studied using bosonization and renormalization group analysis. To extend an earlier model, a local Umklapp interaction, corresponding to isolated impurities, is first studied. It is shown that the local Umklapp interaction is less relevant than the global Umklapp interaction, and that the Majorana states are stable against this disorder effect. The model is then extended to also include Rashba and Dresselhaus spin-orbit interactions of constant interaction strength. It is shown that the Majorana states are stable also against the Rashba effect, but may be destabilized by the Dresselhaus effect. The Luttinger parameter is found to be a function of the Rashba interaction strength. The thesis also contains an introduction to the theory of topological insulators, with focus on the field theoretical description and interaction processes.
dc.identifier.urihttps://hdl.handle.net/20.500.12380/161484
dc.language.isoeng
dc.setspec.uppsokPhysicsChemistryMaths
dc.subjectGrundläggande vetenskaper
dc.subjectDen kondenserade materiens fysik
dc.subjectMatematisk fysik
dc.subjectBasic Sciences
dc.subjectCondensed Matter Physics
dc.subjectMathematical physics
dc.titleMajorana Fermions in Topological Quantum Matter
dc.type.degreeExamensarbete för masterexamensv
dc.type.degreeMaster Thesisen
dc.type.uppsokH
local.programmeFundamental physics, MSc
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