Title: Duality and universal transport in mixed-dimension electrodynamics

Abstract

In this work, 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 $$\tilde{e}$$=(8π)/e. We explore the theory at e²=8π 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 ν=$$\frac{1}{2}$$, 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. Lastly, the thermal Hall conductivity is directly related to the thermal electric coefficients.

Authors:

Hsiao, Wei-Han ^[1]; Son, Dam Thanh ^[1]

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+ Show Author Affiliations

1. Univ. of Chicago, IL (United States)

Publication Date:

Mon Aug 14 00:00:00 EDT 2017

Research Org.:

Univ. of Chicago, IL (United States)

Sponsoring Org.:

USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

OSTI Identifier:

1595700

Alternate Identifier(s):

OSTI ID: 1375049

Grant/Contract Number:  

SC0009924; FG02-13ER41958; DMR-1420709

Resource Type:

Accepted Manuscript

Journal Name:

Physical Review B

Additional Journal Information:

Journal Volume: 96; Journal Issue: 7; Journal ID: ISSN 2469-9950

Publisher:

American Physical Society (APS)

Country of Publication:

United States

Language:

English

Subject:

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY