Gauge theory of topological phases of matter
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Fröhlich, Jürg
Theoretische Physik, ETH Zurich, Switzerland - School of Mathematics, The Institute for Advanced Study - Princeton, USA
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Werner, Philipp
Department of Physics, University of Fribourg, Switzerland
Published in:
- EPL (Europhysics Letters). - 2013, vol. 101, no. 4, p. 47007
English
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.
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Faculty
- Faculté des sciences et de médecine
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Department
- Département de Physique
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Language
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Classification
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Physics
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License
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License undefined
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Identifiers
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Persistent URL
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https://folia.unifr.ch/unifr/documents/303067
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