Impact of Equilibration on the Heat Conductance and Noise of non-Abelian fractional Quantum Hall Edges

dc.contributor.authorHein, Michael
dc.contributor.departmentChalmers tekniska högskola / Institutionen för mikroteknologi och nanovetenskap (MC2)sv
dc.contributor.examinerSplettstoesser, Janine
dc.contributor.supervisorSpånslätt Rugarn, Christian
dc.contributor.supervisorSplettstoesser, Janine
dc.date.accessioned2022-08-31T09:00:33Z
dc.date.available2022-08-31T09:00:33Z
dc.date.issued2022sv
dc.date.submitted2020
dc.description.abstractPerforming resistance measurements in a cold 2D electron gas allows to observe the quantum Hall effect. It comes along with a quantized transverse and simultaneously vanishing longitudinal resistance as well as transport along the edge in chiral channels. Some of the discovered fractional quantum Hall states are predicted to host non-Abelian quasi particles that obey exotic exchange statistics with potential use for quantum computation. An essential step towards the manipulation of these particles is to uncover the edge structure of the underlying state and thus verifying the usability of their non-Abelian properties. Recently, a novel method to distinguish between potential candidates for the fractional quantum Hall edge at filling 5/2 has been established using a combination of heat transport and noise arguments. In this thesis, the role of equilibration between counter-propagating edge modes on the heat conductance and the generation of noise at the 5/2 edge is investigated theoretically. This includes an analysis of potential structures describing the 5/2 edge within a common transport scheme and a comparison to experimental results. It is furthermore shown that the heat conductance of the most promising candidate is expected to be quantized to different values of the quantum of heat κ0 = π2kB2 /(3h) depending on the degree of thermal equilibration between the involved modes. Performing experiments with controlled thermal equilibration are therefore predicted to uncover even more details of the underlying structure.sv
dc.identifier.urihttps://hdl.handle.net/20.500.12380/305490
dc.language.isoengsv
dc.setspec.uppsokPhysicsChemistryMaths
dc.subjectTopological Quantum Mattersv
dc.subjectFractional Quantum Hallsv
dc.subjectCondensed Matter Physicssv
dc.titleImpact of Equilibration on the Heat Conductance and Noise of non-Abelian fractional Quantum Hall Edgessv
dc.type.degreeExamensarbete för masterexamensv
dc.type.uppsokH
local.programmeNanotechnology (MPNAT), MSc
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