Jung, Peter (2007). Transport and Approximate Conservation Laws in Low Dimensional Systems. PhD thesis, Universität zu Köln.

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Abstract

We set up a framework in which controlled lower bounds to conductivities of strongly correlated quantum systems may be calculated perturbatively in situations where the conductivities are infinite in the unperturbed model. This framework is then applied to study the transport properties of almost integrable systems, in general, and heat and spin conductivities in the integrable XXZ Heisenberg spin chain perturbed by various integrability breaking couplings, in particular. Furthermore, we systematically develop a microscopic description of the contribution of spin chains to experimentally measured heat conductivity in spin chain compounds, with an emphasis on the effect of weak disorder.

Item Type: Thesis (PhD thesis)
Translated title:
Title
Language
Transport und Fast-Erhaltungssätze in Niedrig-Dimensionalen Systemen
German
Translated abstract:
Abstract
Language
Wir formulieren eine Störungstheorie mit deren Hilfe Leitfähigkeiten stark korrelierter Quantensysteme, die im ungestörten Fall unendlich sind, berechnet werden können. Wir wenden diese Theorie dann um, allgemein, Transporteigenschaften fast-integrabler Systeme, und speziell, die Wärme- und Spin-Leitfähigkeit in der integrablen XXZ Heisenberg Spinkette mit verschiedenen Störungen, die die Integrabilität brechen, zu studieren an. Zusätzlich entwickeln wir systematisch eine mikroskopische Beschreibung des Spinketten-Beitrags zu in Spinketten-Verbundstoffen experimentell gemessenen Wärmeleitfähigkeit, unter Betonung des Einflusses schwacher Unordnung.
German
Creators:
Creators
Email
ORCID
ORCID Put Code
Jung, Peter
pj@thp.uni-koeln.de
UNSPECIFIED
UNSPECIFIED
URN: urn:nbn:de:hbz:38-22083
Date: 2007
Language: English
Faculty: Faculty of Mathematics and Natural Sciences
Divisions: Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects: Physics
Uncontrolled Keywords:
Keywords
Language
Transport , Spinketten , Erhaltungssätze , Störungstheorie , Hydrodynamik
German
Transport , Spinchains , Conservation Laws , Perturbation Theory , Hydrodynamics
English
Date of oral exam: 23 November 2006
Referee:
Name
Academic Title
Rosch, Achim
Prof. Dr.
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/2208

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