期刊
PHYSICAL REVIEW D
卷 82, 期 12, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.82.126003
关键词
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资金
- DOE [DE-FG02-96ER40956]
- SGF program
- World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan
- JSPS [20740132, 19GS0219]
We give field theory descriptions of the time-reversal invariant quantum spin Hall insulator in 2 + 1 dimensions and the particle-hole symmetric insulator in 1 + 1 dimensions in terms of massive Dirac fermions. Integrating out the massive fermions we obtain a low-energy description in terms of a topological field theory, which is entirely determined by anomaly considerations. This description allows us to easily construct low-energy effective actions for the corresponding fractional topological insulators, potentially corresponding to new states of matter. We give a holographic realization of these fractional states in terms of a probe brane system, verifying that the expected topologically protected transport properties are robust even at strong coupling.
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