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- W2008267560 abstract "Topological insulators can be generally defined by a topological field theory with an axion angle $ensuremath{theta}$ of 0 or $ensuremath{pi}$. In this work, we introduce the concept of fractional topological insulator defined by a fractional axion angle and show that it can be consistent with time reversal $T$ invariance if ground state degeneracies are present. The fractional axion angle can be measured experimentally by the quantized fractional bulk magnetoelectric polarization ${P}_{3}$, and a ``halved'' fractional quantum Hall effect on the surface with Hall conductance of the form ${ensuremath{sigma}}_{H}=frac{p}{q}frac{{e}^{2}}{2h}$ with $p$, $q$ odd. In the simplest of these states the electron behaves as a bound state of three fractionally charged ``quarks'' coupled to a deconfined non-Abelian $SU(3)$ ``color'' gauge field, where the fractional charge of the quarks changes the quantization condition of ${P}_{3}$ and allows fractional values consistent with $T$ invariance." @default.
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- W2008267560 date "2010-12-10" @default.
- W2008267560 modified "2023-09-25" @default.
- W2008267560 title "Fractional Topological Insulators in Three Dimensions" @default.
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- W2008267560 doi "https://doi.org/10.1103/physrevlett.105.246809" @default.
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