Effective field theories for topological insulators by functional bosonization
| Autor: | AtMa P. O. Chan, Shinsei Ryu, Taylor L. Hughes, Eduardo Fradkin |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Physics
Strongly Correlated Electrons (cond-mat.str-el) Topological algebra 010308 nuclear & particles physics Topological degeneracy FOS: Physical sciences Condensed Matter Physics 01 natural sciences Symmetry protected topological order Topological entropy in physics Electronic Optical and Magnetic Materials Condensed Matter - Strongly Correlated Electrons Theoretical physics Quantum electrodynamics 0103 physical sciences Topological ring Topological order 010306 general physics Topological quantum number Zero-dimensional space |
| Zdroj: | Physical Review B. 87 |
| ISSN: | 1550-235X 1098-0121 |
| DOI: | 10.1103/physrevb.87.085132 |
| Popis: | Effective field theories that describes the dynamics of a conserved U(1) current in terms of "hydrodynamic" degrees of freedom of topological phases in condensed matter are discussed in general dimension $D=d+1$ using the functional bosonization technique. For non-interacting topological insulators (superconductors) with a conserved U(1) charge and characterized by an integer topological invariant [more specifically, they are topological insulators in the complex symmetry classes (class A and AIII) and in the "primary series" of topological insulators in the eight real symmetry classes], we derive the BF-type topological field theories supplemented with the Chern-Simons (when $D$ is odd) or the $\theta$-term (when $D$ is even). For topological insulators characterized by a $\mathbb{Z}_2$ topological invariant (the first and second descendants of the primary series), their topological field theories are obtained by dimensional reduction. Building on this effective field theory description for non-interacting topological phases, we also discuss, following the spirit of the parton construction of the fractional quantum Hall effect by Block and Wen, the putative "fractional" topological insulators and their possible effective field theories, and use them to determine the physical properties of these non-trivial quantum phases. Comment: 18 pages |
| Databáze: | OpenAIRE |
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