A short guide to topological terms in the effective theories of condensed matter
arXiv:1502.05464 · doi:10.1088/1468-6996/16/1/014404
Abstract
This article is meant as a gentle introduction to the "topological terms" that often play a decisive role in effective theories describing topological quantum effects in condensed matter systems. We first take up several prominent examples, mainly from the area of quantum magnetism and superfluids/superconductors. We then briefly discuss how these ideas are now finding incarnations in the studies of symmetry-protected topological phases, which are in a sense the generalization of the concept of topological insulators to a wider range of materials, including magnets and cold atoms.
arXiv comment18 pages, 6 figures, Pedagogical review article written for the focus issue "Materials Science of Topological Insulators and Superconductors" of the journal, Science and Technology of Advanced Materials (STAM)
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- Topological Insulators
- Suppression of tunneling by interference in half-integer--spin particles
- Destructive quantum interference in spin tunneling problems
- Topological BF field theory description of topological insulators
- The Magnus Force on Skyrmions in Ferromagnets and the Quantum Hall Effect
- Wave Functions of Bosonic Symmetry Protected Topological Phases
- Aharonov-Casher-Effect Suppression of Macroscopic Tunneling of Magnetic Flux
- Quantum Tunneling in Half-Integer Spin Systems
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Cited by in corpus (5)
- Fermionic currents in topologically nontrivial braneworlds
- Field theory of symmetry-protected valence bond solid states in (2+1) dimensions
- Topological effect on the Anderson transition in chiral symmetry classes
- Quantum kinetic theory of flux-carrying Brownian particles
- Theory of the Anderson transition in three-dimensional chiral symmetry classes: Connection to type-II superconductors