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Title: Multimode One-Way Waveguides of Large Chern Numbers

Abstract

Current experimental realizations of the quantum anomalous Hall phase in both electronic and photonic systems have been limited to a Chern number of one. In photonics, this corresponds to a single-mode one-way edge waveguide. We predict quantum anomalous Hall phases in photonic crystals with large Chern numbers of 2, 3, and 4. These new topological phases were found by simultaneously gapping multiple Dirac and quadratic points. We demonstrate a continuously tunable power splitter as a possible application of multimode one-way waveguides. All our findings are readily realizable at microwave frequencies.

Authors:
 [1];  [1];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF); US Army Research Office (ARO)
OSTI Identifier:
1210647
Alternate Identifier(s):
OSTI ID: 1180423
Grant/Contract Number:  
SC0001299; FG02-09ER46577; DMR-0819762; W911NF-13-D-0001
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 113; Journal Issue: 11; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Skirlo, Scott A., Lu, Ling, and Soljačić, Marin. Multimode One-Way Waveguides of Large Chern Numbers. United States: N. p., 2014. Web. doi:10.1103/PhysRevLett.113.113904.
Skirlo, Scott A., Lu, Ling, & Soljačić, Marin. Multimode One-Way Waveguides of Large Chern Numbers. United States. doi:10.1103/PhysRevLett.113.113904.
Skirlo, Scott A., Lu, Ling, and Soljačić, Marin. Fri . "Multimode One-Way Waveguides of Large Chern Numbers". United States. doi:10.1103/PhysRevLett.113.113904. https://www.osti.gov/servlets/purl/1210647.
@article{osti_1210647,
title = {Multimode One-Way Waveguides of Large Chern Numbers},
author = {Skirlo, Scott A. and Lu, Ling and Soljačić, Marin},
abstractNote = {Current experimental realizations of the quantum anomalous Hall phase in both electronic and photonic systems have been limited to a Chern number of one. In photonics, this corresponds to a single-mode one-way edge waveguide. We predict quantum anomalous Hall phases in photonic crystals with large Chern numbers of 2, 3, and 4. These new topological phases were found by simultaneously gapping multiple Dirac and quadratic points. We demonstrate a continuously tunable power splitter as a possible application of multimode one-way waveguides. All our findings are readily realizable at microwave frequencies.},
doi = {10.1103/PhysRevLett.113.113904},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 11,
volume = 113,
place = {United States},
year = {2014},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 45 works
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Figures / Tables:

FIG. 1 FIG. 1: (color online). Bulk and edge TM band structures showing two one-way edge states (Cgap = 2) obtained from four Dirac points. The photonic crystal is a square lattice of rods with a radius of 0.13a, ϵ = 13, and μ = 1. The T-breaking perturbation corresponds to addingmore » μ12 = −μ21 = 0.40i to the rods. (a) Bulk band structure showing the Dirac point along M − K. The lower inset illustrates the lattice geometry. (b) Four Dirac cones between the fourth and fifth bands plotted in the whole Brillouin zone. (c) Bulk band structure under T-breaking perturbation opens a 5.5% complete gap highlighted in yellow. Each band is labeled with its Chern number. (d) Two gapless one-way edge states (red lines) appear in the projected edge band diagram when the bulk is terminated by a metallic boundary.« less

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.