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Title: Optical manifestations of domains with constant topological charge density

Abstract

Domains of finite topological charge density can exist in chiral materials and chiral matter. Spatial and temporal variation of the average topological charge density, represented by the θ-field, induces anomalous currents that are responsible for the chiral magnetic effect, the anomalous Hall effect and other phenomena that are intimately related to the chiral anomaly. We consider domains with constant average topological charge density. We argue that even though the Maxwell equations in the bulk are not altered, the chiral anomaly manifests itself by the way of the boundary conditions. This is illustrated by several examples. The first example deals with the refraction of plane electromagnetic wave on a surface of a constant-θ domain. We derive the modified Fresnel equations and discuss the effect of the chiral anomaly on the amplitude and polarization of the reflected and transmitted waves. In particular, we argue that the Brewster's angle is sensitive to the value of θ. In the second example we compute the spectrum of the transition radiation at high frequencies and show that it is enhanced at finite θ.

Authors:
; ORCiD logo
Publication Date:
Research Org.:
Iowa State Univ., Ames, IA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1560725
Alternate Identifier(s):
OSTI ID: 1604079
Grant/Contract Number:  
FG02-87ER40371
Resource Type:
Published Article
Journal Name:
Physical Review Research
Additional Journal Information:
Journal Name: Physical Review Research Journal Volume: 1 Journal Issue: 2; Journal ID: ISSN 2643-1564
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Topilogical charge density; chiral magnetic effect; chiral anomaly

Citation Formats

Stewart, Evan, and Tuchin, Kirill. Optical manifestations of domains with constant topological charge density. United States: N. p., 2019. Web. doi:10.1103/PhysRevResearch.1.023005.
Stewart, Evan, & Tuchin, Kirill. Optical manifestations of domains with constant topological charge density. United States. doi:10.1103/PhysRevResearch.1.023005.
Stewart, Evan, and Tuchin, Kirill. Fri . "Optical manifestations of domains with constant topological charge density". United States. doi:10.1103/PhysRevResearch.1.023005.
@article{osti_1560725,
title = {Optical manifestations of domains with constant topological charge density},
author = {Stewart, Evan and Tuchin, Kirill},
abstractNote = {Domains of finite topological charge density can exist in chiral materials and chiral matter. Spatial and temporal variation of the average topological charge density, represented by the θ-field, induces anomalous currents that are responsible for the chiral magnetic effect, the anomalous Hall effect and other phenomena that are intimately related to the chiral anomaly. We consider domains with constant average topological charge density. We argue that even though the Maxwell equations in the bulk are not altered, the chiral anomaly manifests itself by the way of the boundary conditions. This is illustrated by several examples. The first example deals with the refraction of plane electromagnetic wave on a surface of a constant-θ domain. We derive the modified Fresnel equations and discuss the effect of the chiral anomaly on the amplitude and polarization of the reflected and transmitted waves. In particular, we argue that the Brewster's angle is sensitive to the value of θ. In the second example we compute the spectrum of the transition radiation at high frequencies and show that it is enhanced at finite θ.},
doi = {10.1103/PhysRevResearch.1.023005},
journal = {Physical Review Research},
number = 2,
volume = 1,
place = {United States},
year = {2019},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevResearch.1.023005

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