The symmetry of crystals and the topology of electrons

Leiden Repository

The symmetry of crystals and the topology of electrons

Type: Doctoral Thesis
Title: The symmetry of crystals and the topology of electrons
Author: Slager, Robert-Jan
Publisher: Instituut Lorentz for Theoretical Physics, Faculty of Science, Leiden University
Issue Date: 2016-01-12
Keywords: Topological phases of matter
Defect Physics
Zero-mode Physics
Anomalies
Abstract: The concept of topology, having played a perpetual center stage role in the field of mathematics and physics for already a few centuries, heuristically pertains to the study of properties of geometrical objects that are preserved under smooth deformations. Recently, it was uncovered that such topological structures may in particular emerge in the quantum world of electron systems that are subjected to the presence of discrete symmetries such as time reversal symmetry, particle hole symmetry and chiral symmetry. Nonetheless, the role of the most prominent and necessarily present symmetry in this regard, being that of the underlying lattice, has remained elusive. In this work we signify the profound interplay between topological order in electronic band theory and the associated crystal symmetries by exploring the physics of defects, with the emphasis on dislocations. We find that in addition to a plethora of interesting mechanisms, which are related to the defects themselves and culminate, inter alia, in helical propagating fermionic modes bound to freely deformable channels and exotic isospinless graphene-like states that can be linked to illustrious field theoretical anomalies, these results in turn expose an extension of the classification of topological electrons systems.
Description: Promotor: J. Zaanen, Co-Promotor: V. Juricic
With Summary in Dutch
Faculty: Faculteit der Wiskunde en Natuurwetenschappen
Citation: Slager, R.J., 2016, Doctoral Thesis, Leiden University
Series/Report no.: Casimir PhD Series Delft-Leiden;2015-22
ISBN: 9789085932307
Handle: http://hdl.handle.net/1887/37232
 

Files in this item

Description Size View
application/pdf Full Text 18.84Mb View/Open
application/pdf Cover 15.82Mb View/Open
application/pdf Title Pages_Contents 150.2Kb View/Open
application/pdf Chapter 1 357.6Kb View/Open
application/pdf Chapter 2 3.513Mb View/Open
application/pdf Chapter 3 842.5Kb View/Open
application/pdf Chapter 4 4.040Mb View/Open
application/pdf Chapter 5 6.417Mb View/Open
application/pdf Chapter 6 4.683Mb View/Open
application/pdf Chapter 7 168.1Kb View/Open
application/pdf References_Publications 205.4Kb View/Open
application/pdf Summary in Dutch 150.2Kb View/Open
application/pdf Curriculum Vitae_Acknowledgements 99.44Kb View/Open
application/pdf Propositions 100.2Kb View/Open

This item appears in the following Collection(s)