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Title: Topological phases and nonreciprocal edge states in non-Hermitian Floquet insulators

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USDOE Office of Science (SC), Basic Energy Sciences (BES)
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Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 100 Journal Issue: 4; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Li, Mengyao, Ni, Xiang, Weiner, Matthew, Alù, Andrea, and Khanikaev, Alexander B. Topological phases and nonreciprocal edge states in non-Hermitian Floquet insulators. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.100.045423.
Li, Mengyao, Ni, Xiang, Weiner, Matthew, Alù, Andrea, & Khanikaev, Alexander B. Topological phases and nonreciprocal edge states in non-Hermitian Floquet insulators. United States. doi:10.1103/PhysRevB.100.045423.
Li, Mengyao, Ni, Xiang, Weiner, Matthew, Alù, Andrea, and Khanikaev, Alexander B. Mon . "Topological phases and nonreciprocal edge states in non-Hermitian Floquet insulators". United States. doi:10.1103/PhysRevB.100.045423.
title = {Topological phases and nonreciprocal edge states in non-Hermitian Floquet insulators},
author = {Li, Mengyao and Ni, Xiang and Weiner, Matthew and Alù, Andrea and Khanikaev, Alexander B.},
abstractNote = {},
doi = {10.1103/PhysRevB.100.045423},
journal = {Physical Review B},
number = 4,
volume = 100,
place = {United States},
year = {2019},
month = {7}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevB.100.045423

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Works referenced in this record:

Topological characterization of periodically driven quantum systems
journal, December 2010

Non-Hermitian robust edge states in one dimension: Anomalous localization and eigenspace condensation at exceptional points
journal, March 2018

  • Martinez Alvarez, V. M.; Barrios Vargas, J. E.; Foa Torres, L. E. F.
  • Physical Review B, Vol. 97, Issue 12
  • DOI: 10.1103/PhysRevB.97.121401

Experimental Observation of Large Chern Numbers in Photonic Crystals
journal, December 2015

Floquet topological insulator in semiconductor quantum wells
journal, March 2011

  • Lindner, Netanel H.; Refael, Gil; Galitski, Victor
  • Nature Physics, Vol. 7, Issue 6
  • DOI: 10.1038/nphys1926

Floquet topological insulators for sound
journal, June 2016

  • Fleury, Romain; Khanikaev, Alexander B.; Alù, Andrea
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms11744

Network models of photonic Floquet topological insulators
journal, February 2014

Symmetry-protected nodal phases in non-Hermitian systems
journal, January 2019

Robust optical delay lines with topological protection
journal, August 2011

  • Hafezi, Mohammad; Demler, Eugene A.; Lukin, Mikhail D.
  • Nature Physics, Vol. 7, Issue 11
  • DOI: 10.1038/nphys2063

Photoinduced Transition between Conventional and Topological Insulators in Two-Dimensional Electronic Systems
journal, June 2010

Topologically protected bound states in photonic parity–time-symmetric crystals
journal, December 2016

  • Weimann, S.; Kremer, M.; Plotnik, Y.
  • Nature Materials, Vol. 16, Issue 4
  • DOI: 10.1038/nmat4811

Anomalous Topological Phases and Unpaired Dirac Cones in Photonic Floquet Topological Insulators
journal, June 2016

Photonic topological insulators
journal, December 2012

  • Khanikaev, Alexander B.; Hossein Mousavi, S.; Tse, Wang-Kong
  • Nature Materials, Vol. 12, Issue 3
  • DOI: 10.1038/nmat3520

Lasing in topological edge states of a one-dimensional lattice
journal, September 2017

Topological Phases of Sound and Light
journal, July 2015

Classification of topological phonons in linear mechanical metamaterials
journal, August 2016

  • Süsstrunk, Roman; Huber, Sebastian D.
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 33
  • DOI: 10.1073/pnas.1605462113

Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
journal, January 2017

Topological photonics
journal, October 2014

Two-dimensional topological photonics
journal, November 2017

Topological Acoustics
journal, March 2015

Reconfigurable optomechanical circulator and directional amplifier
journal, May 2018

Analogs of quantum-Hall-effect edge states in photonic crystals
journal, September 2008

Scheme for Achieving a Topological Photonic Crystal by Using Dielectric Material
journal, June 2015

Observation of photonic anomalous Floquet topological insulators
journal, January 2017

  • Maczewsky, Lukas J.; Zeuner, Julia M.; Nolte, Stefan
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms13756

Topological Transition in a Non-Hermitian Quantum Walk
journal, February 2009

Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
journal, January 2008

Experimental observation of anomalous topological edge modes in a slowly driven photonic lattice
journal, January 2017

  • Mukherjee, Sebabrata; Spracklen, Alexander; Valiente, Manuel
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms13918

Optical circulation in a multimode optomechanical resonator
journal, May 2018

Anomalous Edge States and the Bulk-Edge Correspondence for Periodically Driven Two-Dimensional Systems
journal, July 2013

Topological photonics
journal, March 2019

PT phase transitions of edge states at PT symmetric interfaces in non-Hermitian topological insulators
journal, October 2018

Photonic Floquet topological insulators
journal, April 2013

  • Rechtsman, Mikael C.; Zeuner, Julia M.; Plotnik, Yonatan
  • Nature, Vol. 496, Issue 7444
  • DOI: 10.1038/nature12066

Synchronized conductivity modulation to realize broadband lossless magnetic-free non-reciprocity
journal, October 2017

Nonreciprocal Light Propagation in a Silicon Photonic Circuit
journal, August 2011

Controlling the Flow of Light Using the Inhomogeneous Effective Gauge Field that Emerges from Dynamic Modulation
journal, November 2013

Photovoltaic Hall effect in graphene
journal, February 2009

Topological insulator laser: Theory
journal, February 2018

Optically Engineering the Topological Properties of a Spin Hall Insulator
journal, January 2012

Multimode One-Way Waveguides of Large Chern Numbers
journal, September 2014

Robust reconfigurable electromagnetic pathways within a photonic topological insulator
journal, February 2016

  • Cheng, Xiaojun; Jouvaud, Camille; Ni, Xiang
  • Nature Materials, Vol. 15, Issue 5
  • DOI: 10.1038/nmat4573

Topological Band Theory for Non-Hermitian Hamiltonians
journal, April 2018

Magnetic-free non-reciprocity and isolation based on parametrically modulated coupled-resonator loops
journal, November 2014

  • Estep, Nicholas A.; Sounas, Dimitrios L.; Soric, Jason
  • Nature Physics, Vol. 10, Issue 12
  • DOI: 10.1038/nphys3134

Topological states of non-Hermitian systems
journal, October 2018

  • Martinez Alvarez, V. M.; Barrios Vargas, J. E.; Berdakin, M.
  • The European Physical Journal Special Topics, Vol. 227, Issue 12
  • DOI: 10.1140/epjst/e2018-800091-5

Optical Resonator Analog of a Two-Dimensional Topological Insulator
journal, May 2013

Observation of a Topological Transition in the Bulk of a Non-Hermitian System
journal, July 2015

Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
journal, January 2019

Realizing effective magnetic field for photons by controlling the phase of dynamic modulation
journal, October 2012

One-way transport in laser-illuminated bilayer graphene: A Floquet isolator
journal, December 2017

Observation of unconventional edge states in ‘photonic graphene’
journal, November 2013

  • Plotnik, Yonatan; Rechtsman, Mikael C.; Song, Daohong
  • Nature Materials, Vol. 13, Issue 1
  • DOI: 10.1038/nmat3783

Nonreciprocal lasing in topological cavities of arbitrary geometries
journal, October 2017

Topological insulator laser: Experiments
journal, February 2018

Spin- and valley-polarized one-way Klein tunneling in photonic topological insulators
journal, May 2018

  • Ni, Xiang; Purtseladze, David; Smirnova, Daria A.
  • Science Advances, Vol. 4, Issue 5
  • DOI: 10.1126/sciadv.aap8802

Transport properties of nonequilibrium systems under the application of light: Photoinduced quantum Hall insulators without Landau levels
journal, December 2011

Topological mechanics
journal, June 2016

Floquet topological insulators
journal, January 2013

  • Cayssol, Jérôme; Dóra, Balázs; Simon, Ferenc
  • physica status solidi (RRL) - Rapid Research Letters, Vol. 7, Issue 1-2
  • DOI: 10.1002/pssr.201206451

Topologically protected midgap states in complex photonic lattices
journal, January 2013

Observation of unidirectional backscattering-immune topological electromagnetic states
journal, October 2009

  • Wang, Zheng; Chong, Yidong; Joannopoulos, J. D.
  • Nature, Vol. 461, Issue 7265
  • DOI: 10.1038/nature08293

Anomalous Edge State in a Non-Hermitian Lattice
journal, April 2016

Edge states and topological phases in non-Hermitian systems
journal, November 2011

Topological Waveguiding near an Exceptional Point: Defect-Immune, Slow-Light, and Loss-Immune Propagation
journal, August 2018