Gauge theory of topological phases of matter
arXiv:1207.5304 · doi:10.1209/0295-5075/101/47007
Abstract
We study the response of quantum many-body systems to coupling some of their degrees of freedom to external gauge fields. This serves to understand the current Green functions and transport properties of interacting many-body systems. Our analysis leads to a "gauge theory of states of matter" complementary to the well known Landau theory of order parameters. We illustrate the power of our approach by deriving and interpreting the gauge-invariant effective actions of (topological) superconductors, 2D electron gases exhibiting the quantized Hall- and spin-Hall effect, 3D topological insulators, as well as axion electrodynamics. We also use the theory to elucidate the structure of surface modes in these systems.
Published version
References in corpus (7)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Topological Insulators with Inversion Symmetry
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Classification of topological insulators and superconductors in three spatial dimensions
- The Quantum Spin Hall Effect: Theory and Experiment
- Irrational vs. rational charge and statistics in two-dimensional quantum systems