A threedimensional photonic topological insulator using a twodimensional ring resonator lattice with a synthetic frequency dimension
Abstract
In the development of topological photonics, achieving threedimensional topological insulators is of notable interest since it enables the exploration of new topological physics with photons and promises novel photonic devices that are robust against disorders in three dimensions. Previous theoretical proposals toward threedimensional topological insulators use complex geometries that are challenging to implement. On the basis of the concept of synthetic dimension, we show that a twodimensional array of ring resonators, which was previously demonstrated to exhibit a twodimensional topological insulator phase, automatically becomes a threedimensional topological insulator when the frequency dimension is taken into account. Moreover, by modulating a few of the resonators, a screw dislocation along the frequency axis can be created, which provides robust oneway transport of photons along the frequency axis. Demonstrating the physics of screw dislocation in a topological system has been a substantial challenge in solidstate systems. Our work indicates that the physics of threedimensional topological insulators can be explored in standard integrated photonic platforms, leading to opportunities for novel devices that control the frequency of light.
 Authors:

 Stanford Univ., CA (United States). Dept. of Applied Physics
 Stanford Univ., CA (United States). Dept. of Physics
 Stanford Univ., CA (United States). Ginzton Lab.
 Stanford Univ., CA (United States). Ginzton Lab. Dept. of Electrical Engineering
 Publication Date:
 Research Org.:
 Stanford Univ., CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22); US Air Force Office of Scientific Research (AFOSR); National Science Foundation (NSF)
 OSTI Identifier:
 1490441
 Grant/Contract Number:
 AC0276SF00515; FA95501710002; CBET1641069
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Science Advances
 Additional Journal Information:
 Journal Volume: 4; Journal Issue: 10; Journal ID: ISSN 23752548
 Publisher:
 AAAS
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Lin, Qian, Sun, XiaoQi, Xiao, Meng, Zhang, ShouCheng, and Fan, Shanhui. A threedimensional photonic topological insulator using a twodimensional ring resonator lattice with a synthetic frequency dimension. United States: N. p., 2018.
Web. doi:10.1126/sciadv.aat2774.
Lin, Qian, Sun, XiaoQi, Xiao, Meng, Zhang, ShouCheng, & Fan, Shanhui. A threedimensional photonic topological insulator using a twodimensional ring resonator lattice with a synthetic frequency dimension. United States. doi:10.1126/sciadv.aat2774.
Lin, Qian, Sun, XiaoQi, Xiao, Meng, Zhang, ShouCheng, and Fan, Shanhui. Fri .
"A threedimensional photonic topological insulator using a twodimensional ring resonator lattice with a synthetic frequency dimension". United States. doi:10.1126/sciadv.aat2774. https://www.osti.gov/servlets/purl/1490441.
@article{osti_1490441,
title = {A threedimensional photonic topological insulator using a twodimensional ring resonator lattice with a synthetic frequency dimension},
author = {Lin, Qian and Sun, XiaoQi and Xiao, Meng and Zhang, ShouCheng and Fan, Shanhui},
abstractNote = {In the development of topological photonics, achieving threedimensional topological insulators is of notable interest since it enables the exploration of new topological physics with photons and promises novel photonic devices that are robust against disorders in three dimensions. Previous theoretical proposals toward threedimensional topological insulators use complex geometries that are challenging to implement. On the basis of the concept of synthetic dimension, we show that a twodimensional array of ring resonators, which was previously demonstrated to exhibit a twodimensional topological insulator phase, automatically becomes a threedimensional topological insulator when the frequency dimension is taken into account. Moreover, by modulating a few of the resonators, a screw dislocation along the frequency axis can be created, which provides robust oneway transport of photons along the frequency axis. Demonstrating the physics of screw dislocation in a topological system has been a substantial challenge in solidstate systems. Our work indicates that the physics of threedimensional topological insulators can be explored in standard integrated photonic platforms, leading to opportunities for novel devices that control the frequency of light.},
doi = {10.1126/sciadv.aat2774},
journal = {Science Advances},
issn = {23752548},
number = 10,
volume = 4,
place = {United States},
year = {2018},
month = {10}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Colloquium: Topological insulators
journal, November 2010
 Hasan, M. Z.; Kane, C. L.
 Reviews of Modern Physics, Vol. 82, Issue 4, p. 30453067
Topological Insulators in Three Dimensions
journal, March 2007
 Fu, Liang; Kane, C. L.; Mele, E. J.
 Physical Review Letters, Vol. 98, Issue 10, Article No. 106803
Ordering, metastability and phase transitions in twodimensional systems
journal, April 1973
 Kosterlitz, J M; Thouless, D J
 Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 11811203
Figures / Tables found in this record: