From the quantum Hall effect to topological insulators: A theoretical overview of recent fundamental developments in condensed matter physics
2010 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE credits
Student thesis
Abstract [en]
In this overview I describe the simplest models for the quantum Hall and quantum spin Hall effects, and give some general indications as to the description of topological insulators. As a background to the theoretical models I will first trace the development leading up to the description of topological insulators . Then I will present Laughlin's original model for the quantum Hall effect and briefly discuss its limitations. After that I will describe the Kane and Mele model for the quantum spin Hall effect in graphene and discuss its relation to a general quantum spin Hall system. I will conclude by giving a conceptual description of topological insulators and mention some potential applications of such states.
Place, publisher, year, edition, pages
2010. , p. 25
Series
FYSAST
Keywords [en]
quantum Hall effect, topological insulator, topological insulators, Hall effect, quantum spin Hall effect
Keywords [sv]
kvantiserade Halleffekten, topologisk isolator, topologiska isolatorer, Halleffekten, kvantiserade spin-Halleffekten
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-126860OAI: oai:DiVA.org:uu-126860DiVA, id: diva2:327283
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
2010-06-302010-06-282010-06-30Bibliographically approved