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Title: Experimental Observation of Large Chern Numbers in Photonic Crystals

Abstract

Despite great interest in the quantum anomalous Hall phase and its analogs, all experimental studies in electronic and bosonic systems have been limited to a Chern number of one. In this work, we perform microwave transmission measurements in the bulk and at the edge of ferrimagnetic photonic crystals. Band gaps with large Chern numbers of 2, 3, and 4 are present in the experimental results, which show excellent agreement with theory. We calculate the mode profiles and Fourier transform them to produce dispersion relations of the edge modes, whose number and direction match our Chern number calculations.

Authors:
 [1];  [1];  [2];  [3];  [1];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); NEC Corp., Tsukuba (Japan)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Zhejiang Univ., Hangzhou (China).
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)
OSTI Identifier:
1371456
Alternate Identifier(s):
OSTI ID: 1229592
Grant/Contract Number:  
SC0001299; FG02-09ER46577
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 115; Journal Issue: 25; Related Information: S3TEC partners with Massachusetts Institute of Technology (lead); Boston College; Oak Ridge National Laboratory; Rensselaer Polytechnic Institute; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; solar (photovoltaic); solar (thermal); solid state lighting; phonons; thermal conductivity; thermoelectric; defects; mechanical behavior; charge transport; spin dynamics; materials and chemistry by design; optics; synthesis (novel materials); synthesis (self-assembly); synthesis (scalable processing)

Citation Formats

Skirlo, Scott A., Lu, Ling, Igarashi, Yuichi, Yan, Qinghui, Joannopoulos, John, and Soljačić, Marin. Experimental Observation of Large Chern Numbers in Photonic Crystals. United States: N. p., 2015. Web. doi:10.1103/PhysRevLett.115.253901.
Skirlo, Scott A., Lu, Ling, Igarashi, Yuichi, Yan, Qinghui, Joannopoulos, John, & Soljačić, Marin. Experimental Observation of Large Chern Numbers in Photonic Crystals. United States. doi:10.1103/PhysRevLett.115.253901.
Skirlo, Scott A., Lu, Ling, Igarashi, Yuichi, Yan, Qinghui, Joannopoulos, John, and Soljačić, Marin. Mon . "Experimental Observation of Large Chern Numbers in Photonic Crystals". United States. doi:10.1103/PhysRevLett.115.253901. https://www.osti.gov/servlets/purl/1371456.
@article{osti_1371456,
title = {Experimental Observation of Large Chern Numbers in Photonic Crystals},
author = {Skirlo, Scott A. and Lu, Ling and Igarashi, Yuichi and Yan, Qinghui and Joannopoulos, John and Soljačić, Marin},
abstractNote = {Despite great interest in the quantum anomalous Hall phase and its analogs, all experimental studies in electronic and bosonic systems have been limited to a Chern number of one. In this work, we perform microwave transmission measurements in the bulk and at the edge of ferrimagnetic photonic crystals. Band gaps with large Chern numbers of 2, 3, and 4 are present in the experimental results, which show excellent agreement with theory. We calculate the mode profiles and Fourier transform them to produce dispersion relations of the edge modes, whose number and direction match our Chern number calculations.},
doi = {10.1103/PhysRevLett.115.253901},
journal = {Physical Review Letters},
number = 25,
volume = 115,
place = {United States},
year = {2015},
month = {12}
}

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

Citation Metrics:
Cited by: 40 works
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Figures / Tables:

FIG. 1 FIG. 1: Comparison of theoretical gap map and bulk transmission to experimental transmission measurement in a 2D ferrimagnetic photonic crystal. (a) Theoretical topological gap map as a function of the magnetic field and the frequency, with each band gap labeled by its gap Chern number. The diagonal black line indicatesmore » the resonance in the effective permeability (see the Supplemental Material). (b) Theoretical bulk transmission. (c) Experimental bulk transmission. (d) Experimental configuration with the lattice geometry (top metal plate removed). The antenna locations are marked with 1 and 2. (e) Simulation geometry, with the green line representing the receiving antenna and the green circle representing the transmitting antenna.« less

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