Gauge-field fluctuations in 3D topological Mott insulators
arXiv:1007.1971 · doi:10.1103/PhysRevB.82.165122
Abstract
We study the low-energy properties of three-dimensional (3D) topological Mott insulators which can be viewed as strong topological insulators of spinons interacting with a three-dimensional gauge field. The low-energy behavior of such systems is dominated by the two-dimensional (2D) gapless surface spinons coupled to the bulk gauge field. We find that a dimensional crossover from 3D to 2D in the gauge field fluctuations may occur as the systems thickness and/or temperature is varied. In the thin sample limit, the gauge field fluctuations effectively become 2D and the problem becomes analogous to the standard 2D spinon-gauge field theory. In the 3D limit, the bulk gauge field fluctuations lead to a low-energy theory for the coupled system that is more controlled than for the pure 2D case. We discuss various experimental signatures such as the heat capacity scaling as T ln 1/T as well as modified Ruderman-Kittel-Kasuya-Yoshida interactions on the surface.
12 pages, 4 figures; v2 published version
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