Journal
PHYSICAL REVIEW B
Volume 96, Issue 7, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.96.075127
Keywords
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Funding
- US DOE [DE-FG02-13ER41958]
- Simons Investigator Grant from the Simons Foundation
- Chicago MRSEC - NSF [DMR-1420709]
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We consider a theory of a two-component Dirac fermion localized on a (2+1)-dimensional brane coupled to a (3+1)-dimensional bulk. Using the fermionic particle-vortex duality, we show that the theory has a strong-weak duality that maps the coupling e to (e) over tilde = (8 pi)/e. We explore the theory at e(2) = 8 pi where it is self-dual. The electrical conductivity of the theory is a constant independent of frequency. When the system is at finite density and magnetic field at filling factor. = 1 2, the longitudinal and Hall conductivity satisfies a semicircle law, and the ratio of the longitudinal and Hall thermal electric coefficients is completely determined by the Hall angle. The thermal Hall conductivity is directly related to the thermal electric coefficients.
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