Title:
Transport in low-dimensional interacting systems

dc.contributor.advisor Pustilnik, Michael
dc.contributor.author Sharma, Kamal
dc.contributor.committeeMember Zangwill, Andrew
dc.contributor.committeeMember Davidovic, Dragomir
dc.contributor.committeeMember Bonetto, Federico
dc.contributor.committeeMember Kindermann, Markus
dc.contributor.department Physics
dc.date.accessioned 2020-01-14T14:48:26Z
dc.date.available 2020-01-14T14:48:26Z
dc.date.created 2019-12
dc.date.issued 2019-11-20
dc.date.submitted December 2019
dc.date.updated 2020-01-14T14:48:26Z
dc.description.abstract One-dimensional quantum many-body systems have been an interesting area of theoretical research since last 90 years. However, advances in fabrication technologies has led to influx of real materials and devices that are one-dimensional or quasi one-dimensional. These devices have brought back a renewed interest in understating the physics of such systems. However, the established Luttinger liquid theory has some limitations due to absence of scattering processes at finite temperatures. Further, any arbitrarily weak interaction potential between Luttinger liquid bosons leads to divergences already in the first order calculation. We adopt the low energy one-dimensional Wigner crystal as the strongly interacting regime of Luttinger liquid. We show that the violation of the Wiedemann-Franz law can be demonstrated by calculating correction to thermal conductance of a non-linear interacting Wigner crystal.
dc.description.degree Ph.D.
dc.format.mimetype application/pdf
dc.identifier.uri http://hdl.handle.net/1853/62339
dc.language.iso en_US
dc.publisher Georgia Institute of Technology
dc.subject One-dimensional
dc.subject Quantum
dc.subject Wire
dc.subject Physics
dc.subject Thermal
dc.subject Conductance
dc.subject Luttinger liquid
dc.subject Non-fermi
dc.subject Bosonization
dc.subject Wiedemann
dc.subject Franz
dc.subject Wigner
dc.subject Crystal
dc.subject Haldane
dc.subject Kamal
dc.subject Sharma
dc.title Transport in low-dimensional interacting systems
dc.type Text
dc.type.genre Dissertation
dspace.entity.type Publication
local.contributor.advisor Pustilnik, Michael
local.contributor.corporatename College of Sciences
local.contributor.corporatename School of Physics
relation.isAdvisorOfPublication 7a49dc35-400f-4ee1-b55f-0616fbf9c7d1
relation.isOrgUnitOfPublication 85042be6-2d68-4e07-b384-e1f908fae48a
relation.isOrgUnitOfPublication 2ba39017-11f1-40f4-9bc5-66f17b8f1539
thesis.degree.level Doctoral
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