pith. sign in

arxiv: 2605.12635 · v1 · pith:WPNVVH42new · submitted 2026-05-12 · ❄️ cond-mat.mes-hall

Coupled Topological Interface States and Phonon Molecules in GaAs/AlAs Superlattices

S. Sandeep , O. Colmegna , C. Xiang , E. R. Cardozo de Oliveira , K.Papatryfonos , M. Morassi , A. Lemaitre , N. D. Lanzillotti-Kimura This is my paper

Pith reviewed 2026-05-14 20:17 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords topological interface statesphonon moleculesGaAs/AlAs superlatticesZak phasedistributed Bragg reflectorsSSH frameworknanophononicsGHz phonons
0
0 comments X p. Extension
pith:WPNVVH42 Add to your LaTeX paper What is a Pith Number? 
\usepackage{pith}
\pithnumber{WPNVVH42}

Prints a linked pith:WPNVVH42 badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more

The pith

Concatenating superlattices with alternating topology creates tunable coupled phonon interface states.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper shows that alternating the topology of superlattices produces localized phonon states at their interfaces. Concatenating three such superlattices couples two interface states, which then hybridize into symmetric and antisymmetric modes whose frequency splitting is adjusted by the reflectivity of the central layer. This splitting reaches tens of gigahertz and the approach extends to longer chains that form narrow minibands while staying localized. The behavior is confirmed through experiments on grown GaAs/AlAs samples using pump-probe measurements together with transfer-matrix models. A reader would care because it supplies a route to build interacting phonon modes in the gigahertz range that draw on topological protection.

Core claim

By concatenating three superlattices with alternating topology, we realize two coupled interface states that hybridize into symmetric and antisymmetric modes, whose splitting can be tuned over tens of gigahertz by varying the reflectivity of the central DBR. Extending this concept, we engineer chains of up to N=6 coupled interface states that form narrow topological minibands while remaining strongly localized at the interfaces. These states are observed in molecular-beam-epitaxy-grown GaAs/AlAs heterostructures using time-domain pump-probe transient reflectivity measurements and reproduced by transfer-matrix calculations and a simple analytical model.

What carries the argument

Hybridization of topological interface states through a central tunable distributed Bragg reflector that controls the coupling strength between states formed by alternating Zak phases.

Load-bearing premise

The interface states remain strongly localized and their hybridization is dominated by the topological band inversion and central DBR reflectivity without significant effects from fabrication disorder, interface roughness, or non-topological scattering.

What would settle it

Measuring that the observed frequency splitting stays fixed when the central DBR reflectivity is changed, or finding that the states delocalize in samples with only minor roughness, would show the central claim is not correct.

Figures

Figures reproduced from arXiv: 2605.12635 by A. Lemaitre, C. Xiang, E. R. Cardozo de Oliveira, K.Papatryfonos, M. Morassi, N. D. Lanzillotti-Kimura, O. Colmegna, S. Sandeep.

Figure 1
Figure 1. Figure 1: Principle of a phononic interface state formed by band inversion. (a) [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Topological phonon molecules formed by coupling two interface states. (a) Acoustic [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Experimental observation and modeling of the topological phonon molecule. (a) [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Comparison of the stability of coupled modes in topological and Fabry-Perot [PITH_FULL_IMAGE:figures/full_fig_p009_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Phononic chains formed by coupled topological interface states. (a) Acoustic reflec [PITH_FULL_IMAGE:figures/full_fig_p011_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Experimental observation and modeling of the topological phonon chain. (a) Transient [PITH_FULL_IMAGE:figures/full_fig_p012_6.png] view at source ↗
read the original abstract

Topological interface states in one-dimensional superlattices provide spatially localized phonon modes protected by the topology of the underlying band structure. In GaAs/AlAs distributed Bragg reflectors (DBRs), such states can be engineered through band inversion between superlattices with opposite Zak phases within the Su-Schrieffer-Heeger (SSH) framework. Here, we demonstrate topological phonon molecules and extended chains formed by coupled nanophononic interface states. By concatenating three superlattices with alternating topology, we realize two coupled interface states that hybridize into symmetric and antisymmetric modes, whose splitting can be tuned over tens of gigahertz by varying the reflectivity of the central DBR. Extending this concept, we engineer chains of up to N=6 coupled interface states that form narrow topological minibands while remaining strongly localized at the interfaces. We experimentally observe these coupled states in molecular-beam-epitaxy-grown GaAs/AlAs heterostructures using time-domain pump-probe transient reflectivity measurements, and reproduce their behavior using transfer-matrix calculations and a simple analytical model for the mode splitting. These results establish topological interface states as a robust platform for engineering coupled phononic systems and tunable nanophononic architectures in the GHz regime.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The manuscript demonstrates coupled topological interface states in GaAs/AlAs superlattices by concatenating three structures with alternating Zak phases, realizing hybridization into symmetric and antisymmetric phonon modes whose GHz-scale splitting is tuned via central DBR reflectivity. It extends the concept to chains of up to N=6 states forming localized minibands, with experimental verification via time-domain pump-probe transient reflectivity on MBE-grown samples, supported by transfer-matrix calculations and an analytical splitting model.

Significance. If the central claim holds, the work provides a controllable platform for topological phonon molecules and minibands in the GHz regime, advancing nanophononics by linking band-inversion-protected interface states to tunable hybridization. The experimental-modeling combination (pump-probe data reproduced by transfer-matrix and analytics) strengthens the case for topological engineering of phononic architectures.

major comments (2)
  1. [Transfer-matrix modeling] Transfer-matrix modeling section: The calculations and analytical splitting formula treat interfaces as atomically abrupt with perfect periodicity. No quantitative comparison is made to models incorporating realistic MBE roughness (1-2 monolayer intermixing), which can produce non-topological scattering shifts and broadening comparable to the reported tens-of-GHz splitting, especially at reduced central DBR reflectivity. This leaves open whether the observed tuning is dominated by topological hybridization.
  2. [Experimental results] Experimental results and data analysis: The manuscript provides no details on error bars, data exclusion criteria, or quantitative fits (e.g., R² or chi-squared values) between measured and modeled mode splittings. This weakens verification of the claim that splitting is tunable over tens of GHz purely by DBR reflectivity.
minor comments (1)
  1. [Figures and captions] Figure captions and main text could clarify the exact phonon wavelengths relative to expected roughness correlation lengths to aid reader assessment of disorder effects.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments. We address each major comment point by point below.

read point-by-point responses

  1. Referee: Transfer-matrix modeling section: The calculations and analytical splitting formula treat interfaces as atomically abrupt with perfect periodicity. No quantitative comparison is made to models incorporating realistic MBE roughness (1-2 monolayer intermixing), which can produce non-topological scattering shifts and broadening comparable to the reported tens-of-GHz splitting, especially at reduced central DBR reflectivity. This leaves open whether the observed tuning is dominated by topological hybridization.

    Authors: We agree that realistic MBE interface roughness merits explicit discussion, as 1-2 monolayer intermixing can in principle introduce non-topological scattering. However, the close quantitative match between our measured splittings and the ideal transfer-matrix predictions across the full range of central DBR reflectivities indicates that hybridization dominates. In the revised manuscript we will add a dedicated paragraph that estimates the magnitude of roughness-induced shifts using a simple perturbed transfer-matrix approach and shows that these contributions remain well below the observed tunable splitting (tens of GHz). revision: yes

  2. Referee: Experimental results and data analysis: The manuscript provides no details on error bars, data exclusion criteria, or quantitative fits (e.g., R² or chi-squared values) between measured and modeled mode splittings. This weakens verification of the claim that splitting is tunable over tens of GHz purely by DBR reflectivity.

    Authors: We will revise the experimental section to include error bars on all reported splitting values, a brief description of data-acquisition and exclusion criteria, and quantitative goodness-of-fit metrics (R² and reduced chi-squared) for the comparison between measured and modeled splittings versus central DBR reflectivity. These additions will be incorporated into both the main text and the supplementary information. revision: yes

Circularity Check

0 steps flagged

No circularity: results rest on independent transfer-matrix modeling and experiment

full rationale

The paper's derivation chain begins from the standard SSH model for Zak-phase band inversion in GaAs/AlAs DBRs, proceeds to explicit transfer-matrix calculations that solve the wave equation for the layered structure with given layer thicknesses and acoustic impedances, and derives an analytical splitting formula from the resulting coupled-mode eigenvalues. These steps are not fitted to the target splitting data and then re-labeled as predictions; the transfer-matrix code is a direct numerical implementation of the wave equation without adjustable parameters tuned to the observed GHz splitting. Experimental pump-probe data serve as external validation rather than input to the model. No self-citation is invoked to establish uniqueness or to smuggle an ansatz; the SSH framework is cited as prior literature without author overlap in the load-bearing steps. The observed tuning with central DBR reflectivity follows directly from the reflectivity-dependent coupling strength in the transfer-matrix output, without reduction to a self-definitional loop.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The work relies on the standard SSH model for band inversion and Zak phases in 1D superlattices plus transfer-matrix formalism for wave propagation; no new free parameters or invented entities are introduced in the abstract description.

axioms (2)
  • domain assumption Su-Schrieffer-Heeger (SSH) framework with Zak phase applies to phonon band structure in GaAs/AlAs superlattices for engineering interface states
    Invoked to realize band inversion between superlattices with opposite topology.
  • standard math Transfer-matrix method accurately models phonon propagation and mode hybridization in the heterostructures
    Used to reproduce experimental spectra and predict splitting.

pith-pipeline@v0.9.0 · 5554 in / 1382 out tokens · 49016 ms · 2026-05-14T20:17:35.630271+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

69 extracted references · 69 canonical work pages

  1. [1]

    Sonakshi Arora, Thomas Bauer, Ren´ e Barczyk, Ewold Verhagen, and L. Kuipers. Di- rect quantification of topological protection in symmetry-protected photonic edge states at telecom wavelengths.Light: Science & Applications, 10(1):9, January 2021

    work page 2021

  2. [2]

    Arregui, O

    G. Arregui, O. Ort´ ız, M. Esmann, C. M. Sotomayor-Torres, C. Gomez-Carbonell, O. Mau- guin, B. Perrin, A. Lemaˆ ıtre, P. D. Garc´ ıa, and N. D. Lanzillotti-Kimura. Coherent gen- eration and detection of acoustic phonons in topological nanocavities.APL Photonics, 4(3):030805, March 2019

    work page 2019

  3. [3]

    Asb´ oth, L

    J.K. Asb´ oth, L. Oroszl´ any, and A. P´ alyi.A Short Course on Topological Insulators. Number 919 in Lecture Notes in Physics. Springer, 2016

    work page 2016

  4. [4]

    Bencivenga, R

    F. Bencivenga, R. Mincigrucci, F. Capotondi, L. Foglia, D. Naumenko, A. A. Maznev, E. Pedersoli, A. Simoncig, F. Caporaletti, V. Chiloyan, R. Cucini, F. Dallari, R. A. Duncan, T. D. Frazer, G. Gaio, A. Gessini, L. Giannessi, S. Huberman, H. Kapteyn, J. Knobloch, G. Kurdi, N. Mahne, M. Manfredda, A. Martinelli, M. Murnane, E. Principi, L. Raimondi, S. Spam...

    work page 2019

  5. [5]

    Snowflake phononic topological insulator at the nanoscale.Phys

    Christian Brendel, Vittorio Peano, Oskar Painter, and Florian Marquardt. Snowflake phononic topological insulator at the nanoscale.Phys. Rev. B, 97:020102(R), Jan 2018

    work page 2018

  6. [6]

    B¨ uhler, Matthias Weiß, Antonio Crespo-Poveda, Emeline D

    Dominik D. B¨ uhler, Matthias Weiß, Antonio Crespo-Poveda, Emeline D. S. Nysten, Jonathan J. Finley, Kai M¨ uller, Paulo V. Santos, Mauricio M. de Lima, and Hubert J. Krenner. On-chip generation and dynamic piezo-optomechanical rotation of single pho- tons.Nature Communications, 13(1):6998, November 2022. 15

    work page 2022

  7. [7]

    D. L. Chafatinos, A. S. Kuznetsov, S. Anguiano, A. E. Bruchhausen, A. A. Reynoso, K. Biermann, P. V. Santos, and A. Fainstein. Polariton-driven phonon laser.Nature Communications, 11(1):4552, December 2020

    work page 2020

  8. [8]

    Rakich, and Robert J

    Yiwen Chu, Prashanta Kharel, Taekwan Yoon, Luigi Frunzio, Peter T. Rakich, and Robert J. Schoelkopf. Creation and control of multi-phonon Fock states in a bulk acoustic- wave resonator.Nature, 563(7733):666–670, November 2018

    work page 2018

  9. [9]

    Cleland, Martin J

    Per Delsing, Andrew N. Cleland, Martin J. A. Schuetz, Johannes Kn¨ orzer, G´ eza Giedke, J. Ignacio Cirac, Kartik Srinivasan, Marcelo Wu, Krishna Coimbatore Balram, Christo- pher B¨ auerle, Tristan Meunier, Christopher J. B. Ford, Paulo V. Santos, Edgar Cerda- M´ endez, Hailin Wang, Hubert J. Krenner, Emeline D. S. Nysten, Matthias Weiß, Ge- off R. Nash, ...

    work page 2019

  10. [10]

    Juliane Doster, Tirth Shah, Thomas F¨ osel, Philipp Paulitschke, Florian Marquardt, and Eva M. Weig. Observing polarization patterns in the collective motion of nanomechanical arrays.Nature Communications, 13(1):2478, December 2022

    work page 2022

  11. [11]

    Esmann, F

    M. Esmann, F. R. Lamberti, A. Harouri, L. Lanco, I. Sagnes, I. Favero, G. Aubin, C. Gomez-Carbonell, A. Lemaˆ ıtre, O. Krebs, P. Senellart, and N. D. Lanzillotti-Kimura. Brillouin scattering in hybrid optophononic Bragg micropillar resonators at 300 GHz.Op- tica, 6(7):854, July 2019

    work page 2019

  12. [12]

    Esmann, F

    M. Esmann, F. R. Lamberti, A. Lemaˆ ıtre, and N. D. Lanzillotti-Kimura. Topological acoustics in coupled nanocavity arrays.Physical Review B, 98(16):161109(R), October 2018

    work page 2018

  13. [13]

    Topological nanophononic states by band inversion.Physical Review B, 97(15):155422, April 2018

    Martin Esmann, Fabrice Roland Lamberti, Pascale Senellart, Ivan Favero, Olivier Krebs, Lo¨ ıc Lanco, Carmen Gomez Carbonell, Aristide Lemaˆ ıtre, and Norberto Daniel Lanzillotti- Kimura. Topological nanophononic states by band inversion.Physical Review B, 97(15):155422, April 2018

    work page 2018

  14. [14]

    A Topological View on Optical and Phononic Fabry–Perot Microcavities through the Su–Schrieffer–Heeger Model.Applied Sciences, 8(4):527, April 2018

    Martin Esmann and Norberto Daniel Lanzillotti-Kimura. A Topological View on Optical and Phononic Fabry–Perot Microcavities through the Su–Schrieffer–Heeger Model.Applied Sciences, 8(4):527, April 2018

    work page 2018

  15. [15]

    Fainstein, N

    A. Fainstein, N. D. Lanzillotti-Kimura, B. Jusserand, and B. Perrin. Strong Optical- Mechanical Coupling in a Vertical GaAs/AlAs Microcavity for Subterahertz Phonons and Near-Infrared Light.Physical Review Letters, 110:037403, January 2013

    work page 2013

  16. [16]

    Raman Scattering in Resonant Cavities

    Alejandro Fainstein and Bernard Jusserand. Raman Scattering in Resonant Cavities. In Manuel Cardona and Roberto Merlin, editors,Light Scattering in Solid IX, volume 108, pages 17–110. Springer Berlin Heidelberg, Berlin, Heidelberg, 2006

    work page 2006

  17. [17]

    Groenen, F

    J. Groenen, F. Poinsotte, A. Zwick, C. M. Sotomayor Torres, M. Prunnila, and J. Ahopelto. Inelastic light scattering by longitudinal acoustic phonons in thin silicon layers: From membranes to silicon-on-insulator structures.Physical Review B, 77:045420, January 2008

    work page 2008

  18. [18]

    Hafezi, S

    M. Hafezi, S. Mittal, J. Fan, A. Migdall, and J. M. Taylor. Imaging topological edge states in silicon photonics.Nature Photonics, 7(12):1001–1005, December 2013. 16

    work page 2013

  19. [19]

    Chiral quantum optics in broken-symmetry and topological photonic crystal waveguides

    Nils Valentin Hauff, Hanna Le Jeannic, Peter Lodahl, Stephen Hughes, and Nir Rotenberg. Chiral quantum optics in broken-symmetry and topological photonic crystal waveguides. Physical Review Research, 4(2):023082, April 2022

    work page 2022

  20. [20]

    Acoustic topological insulator and robust one-way sound transport

    Cheng He, Xu Ni, Hao Ge, Xiao-Chen Sun, Yan-Bin Chen, Ming-Hui Lu, Xiao-Ping Liu, and Yan-Feng Chen. Acoustic topological insulator and robust one-way sound transport. Nature Physics, 12(12):1124–1129, December 2016

    work page 2016

  21. [21]

    Sebastian D. Huber. Topological mechanics.Nature Physics, 12(7):621–623, July 2016

    work page 2016

  22. [22]

    Jusserand

    B. Jusserand. Selective resonant interaction between confined excitons and folded acoustic phonons in GaAs/AlAs multi-quantum wells.Applied Physics Letters, 103:093112, August 2013

    work page 2013

  23. [23]

    Jusserand, A

    B. Jusserand, A. N. Poddubny, A. V. Poshakinskiy, A. Fainstein, and A. Lemaitre. Polari- ton Resonances for Ultrastrong Coupling Cavity Optomechanics in GaAs / AlAs Multiple Quantum Wells.Physical Review Letters, 115:267402, December 2015

    work page 2015

  24. [24]

    In- ducing micromechanical motion by optical excitation of a single quantum dot.Nature Nanotechnology, 16(3):283–287, March 2021

    Jan Kettler, Nitika Vaish, Laure Mercier de L´ epinay, Benjamin Besga, Pierre-Louis de As- sis, Olivier Bourgeois, Alexia Auff` eves, Maxime Richard, Julien Claudon, Jean-Michel G´ erard, Benjamin Pigeau, Olivier Arcizet, Pierre Verlot, and Jean-Philippe Poizat. In- ducing micromechanical motion by optical excitation of a single quantum dot.Nature Nanotec...

    work page 2021

  25. [25]

    Khanikaev and Gennady Shvets

    Alexander B. Khanikaev and Gennady Shvets. Two-dimensional topological photonics. Nature Photonics, 11(12):763–773, December 2017

    work page 2017

  26. [26]

    Klembt, T

    S. Klembt, T. H. Harder, O. A. Egorov, K. Winkler, R. Ge, M. A. Bandres, M. Emmerling, L. Worschech, T. C. H. Liew, M. Segev, C. Schneider, and S. H¨ ofling. Exciton-polariton topological insulator.Nature, 562(7728):552–556, October 2018

    work page 2018

  27. [27]

    Kuznetsov, Diego H

    Alexander S. Kuznetsov, Diego H. O. Machado, Klaus Biermann, and Paulo V. Santos. Electrically Driven Microcavity Exciton-Polariton Optomechanics at 20 GHz.Physical Review X, 11(2):021020, April 2021

    work page 2021

  28. [28]

    N. D. Lanzillotti-Kimura, A. Fainstein, C. A. Balseiro, and B. Jusserand. Phonon engi- neering with acoustic nanocavities: Theoretical considerations on phonon molecules, band structures, and acoustic Bloch oscillations.Physical Review B, 75(2):024301, January 2007

    work page 2007

  29. [29]

    N. D. Lanzillotti-Kimura, A. Fainstein, B. Perrin, and B. Jusserand. Theory of coherent generation and detection of THz acoustic phonons using optical microcavities.Physical Review B, 84(6):064307, August 2011

    work page 2011

  30. [30]

    N. D. Lanzillotti-Kimura, A. Fainstein, B. Perrin, B. Jusserand, O. Mauguin, L. Largeau, and A. Lemaˆ ıtre. Bloch Oscillations of THz Acoustic Phonons in Coupled Nanocavity Structures.Physical Review Letters, 104(19):197402, May 2010

    work page 2010

  31. [31]

    Dongwoo Lee, N. D. Lanzillotti-Kimura, Jensen Li, and Junsuk Rho. Elastic topological interface states and voltage feeder by breaking inversion symmetry on thin plates.Physical Review B, 106:104107, September 2022

    work page 2022

  32. [32]

    Abu Jafar Rasel, Alessandro Mattoni, Ahmet Alatas, Malcolm G

    Chen Li, Hao Ma, Tianyang Li, Jinghang Dai, Md. Abu Jafar Rasel, Alessandro Mattoni, Ahmet Alatas, Malcolm G. Thomas, Zachary W. Rouse, Avi Shragai, Shefford P. Baker, B. J. Ramshaw, Joseph P. Feser, David B. Mitzi, and Zhiting Tian. Remarkably Weak Anisotropy in Thermal Conductivity of Two-Dimensional Hybrid Perovskite Butylammo- nium Lead Iodide Crystal...

    work page 2021

  33. [33]

    Joannopoulos, and Marin Soljaˇ ci´ c

    Ling Lu, John D. Joannopoulos, and Marin Soljaˇ ci´ c. Topological photonics.Nature Pho- tonics, 8(11):821–829, November 2014

    work page 2014

  34. [34]

    Guancong Ma, Meng Xiao, and C. T. Chan. Topological phases in acoustic and mechanical systems.Nature Reviews Physics, 1(4):281–294, April 2019

    work page 2019

  35. [35]

    Mahboob, K

    I. Mahboob, K. Nishiguchi, H. Okamoto, and H. Yamaguchi. Phonon-cavity electrome- chanics.Nature Physics, 8(5):387–392, May 2012

    work page 2012

  36. [36]

    Topological magnon amplifica- tion.Nature Communications, 10(1):3937, September 2019

    Daniel Malz, Johannes Knolle, and Andreas Nunnenkamp. Topological magnon amplifica- tion.Nature Communications, 10(1):3937, September 2019

    work page 2019

  37. [37]

    Mathew, Javier del Pino, and Ewold Verhagen

    John P. Mathew, Javier del Pino, and Ewold Verhagen. Synthetic gauge fields for phonon transport in a nano-optomechanical system.Nature Nanotechnology, 15(3):198–202, March 2020

    work page 2020

  38. [38]

    Brawley, Soroush Khademi, Elizabeth M

    Chao Meng, George A. Brawley, Soroush Khademi, Elizabeth M. Bridge, James S. Bennett, and Warwick P. Bowen. Measurement-based preparation of multimode mechanical states. Science Advances, 8(21):eabm7585, May 2022

    work page 2022

  39. [39]

    Raman-Brillouin light scattering in low-dimensional systems: Photoelastic model versus quantum model.Physical Review B, 75:245303, June 2007

    Adnen Mlayah, Jean-Roch Huntzinger, and Nicolas Large. Raman-Brillouin light scattering in low-dimensional systems: Photoelastic model versus quantum model.Physical Review B, 75:245303, June 2007

    work page 2007

  40. [40]

    Ortiz, M

    O. Ortiz, M. Esmann, and N. D. Lanzillotti-Kimura. Phonon engineering with superlattices: Generalized nanomechanical potentials.Physical Review B, 100(8):085430, August 2019

    work page 2019

  41. [41]

    Ortiz, F

    O. Ortiz, F. Pastier, A. Rodriguez, Priya, A. Lemaˆ ıtre, C. Gomez-Carbonell, I. Sagnes, A. Harouri, P. Senellart, V. Giesz, M. Esmann, and N. D. Lanzillotti-Kimura. Fiber- integrated microcavities for efficient generation of coherent acoustic phonons.Applied Physics Letters, 117(18):183102, November 2020

    work page 2020

  42. [42]

    Ortiz, P

    O. Ortiz, P. Priya, A. Rodriguez, A. Lemaˆ ıtre, M. Esmann, and N. D. Lanzillotti-Kimura. Topological optical and phononic interface mode by simultaneous band inversion.Optica, 8(5):598, May 2021

    work page 2021

  43. [43]

    Price, Alberto Amo, Nathan Goldman, Mohammad Hafezi, Ling Lu, Mikael C

    Tomoki Ozawa, Hannah M. Price, Alberto Amo, Nathan Goldman, Mohammad Hafezi, Ling Lu, Mikael C. Rechtsman, David Schuster, Jonathan Simon, Oded Zilberberg, and Iacopo Carusotto. Topological photonics.Reviews of Modern Physics, 91(1):015006, March 2019

    work page 2019

  44. [44]

    Seeds, Huiyun Liu, and David R

    Konstantinos Papatryfonos, Todora Angelova, Antoine Brimont, Barry Reid, Stefan Guldin, Peter Raymond Smith, Mingchu Tang, Keshuang Li, Alwyn J. Seeds, Huiyun Liu, and David R. Selviah. Refractive indices of mbe-grown alxga(1-x)as ternary alloys in the transparent wavelength region.AIP Advances, 11(2):025327, 2021

    work page 2021

  45. [45]

    Seeds, Christophe David, Guillemin Rodary, Huiyun Liu, and David R

    Konstantinos Papatryfonos, Jean-Christophe Girard, Mingchu Tang, Huiwen Deng, Al- wyn J. Seeds, Christophe David, Guillemin Rodary, Huiyun Liu, and David R. Selviah. Low-Defect Quantum Dot Lasers Directly Grown on Silicon Exhibiting Low Threshold Current and High Output Power at Elevated Temperatures.Advanced Photonics Research, 6(3):2400082, March 2025

    work page 2025

  46. [46]

    Cardozo De Oliveira, and Nor- berto Daniel Lanzillotti-Kimura

    Konstantinos Papatryfonos, Anne Rodriguez, Edson R. Cardozo De Oliveira, and Nor- berto Daniel Lanzillotti-Kimura. High-order topological states using alignment of different bandgaps in 1D superlattices. In David L. Andrews, Angus J. Bain, and Antonio Ambrosio, editors,Nanophotonics X, page 25, Strasbourg, France, June 2024. SPIE. 18

    work page 2024

  47. [47]

    Ochalski, Guillaume Huyet, Anthony Martinez, and Abderrahim Ramdane

    Konstantinos Papatryfonos, Dzianis Saladukha, Kamel Merghem, Siddharth Joshi, Fran- cois Lelarge, Sophie Bouchoule, Dimitrios Kazazis, Stephane Guilet, Luc Le Gratiet, Tomasz J. Ochalski, Guillaume Huyet, Anthony Martinez, and Abderrahim Ramdane. Laterally coupled distributed feedback lasers emitting at 2µm with quantum dash active region and high-duty-cy...

    work page 2017

  48. [48]

    Kuipers, and Ewold Verhagen

    Nikhil Parappurath, Filippo Alpeggiani, L. Kuipers, and Ewold Verhagen. Direct obser- vation of topological edge states in silicon photonic crystals: Spin, dispersion, and chiral routing.Science Advances, 6(10):eaaw4137, March 2020

    work page 2020

  49. [49]

    M. F. Pascual-Winter, A. Fainstein, B. Jusserand, B. Perrin, and A. Lemaˆ ıtre. Spectral responses of phonon optical generation and detection in superlattices.Physical Review B, 85:235443, June 2012

    work page 2012

  50. [50]

    Nicolas Pernet, Philippe St-Jean, Dmitry D. Solnyshkov, Guillaume Malpuech, Nicola Car- lon Zambon, Quentin Fontaine, Bastian Real, Omar Jamadi, Aristide Lemaˆ ıtre, Martina Morassi, Luc Le Gratiet, T´ eo Baptiste, Abdelmounaim Harouri, Isabelle Sagnes, Alberto Amo, Sylvain Ravets, and Jacqueline Bloch. Gap solitons in a one-dimensional driven- dissipativ...

    work page 2022

  51. [51]

    Priya, E. R. Cardozo de Oliveira, and N. D. Lanzillotti-Kimura. Perspectives on high- frequency nanomechanics, nanoacoustics, and nanophononics.Applied Physics Letters, 122(14):140501, April 2023

    work page 2023

  52. [52]

    Topological Phonon Modes and Their Role in Dynamic Instability of Microtubules.Physical Review Letters, 103(24):248101, December 2009

    Emil Prodan and Camelia Prodan. Topological Phonon Modes and Their Role in Dynamic Instability of Microtubules.Physical Review Letters, 103(24):248101, December 2009

    work page 2009

  53. [53]

    Rodriguez, K

    A. Rodriguez, K. Papatryfonos, E. R. Cardozo De Oliveira, and N. D. Lanzillotti- Kimura. Topological nanophononic interface states using high-order bandgaps in the one- dimensional Su-Schrieffer-Heeger model.Physical Review B, 108(20):205301, November 2023

    work page 2023

  54. [54]

    Coupled topological interface states.Physical Review B, 103(8):085412, February 2021

    Christoph Schmidt, Alexander Palatnik, Markas Sudzius, Stefan Meister, and Karl Leo. Coupled topological interface states.Physical Review B, 103(8):085412, February 2021

    work page 2021

  55. [55]

    Richa Sharma, Shuvendu Jena, and Dinesh V. Udupa. Coupling of topological interface states in 1D photonic crystal.Optical Materials, 137:113508, March 2023

    work page 2023

  56. [56]

    Plasmonic topological metasurface by encircling an exceptional point.Science, 373(6559):1133–1137, September 2021

    Qinghua Song, Mutasem Odeh, Jes´ us Z´ u˜ niga-P´ erez, Boubacar Kant´ e, and Patrice Gen- evet. Plasmonic topological metasurface by encircling an exceptional point.Science, 373(6559):1133–1137, September 2021

    work page 2021

  57. [57]

    St-Jean, A

    P. St-Jean, A. Dauphin, P. Massignan, B. Real, O. Jamadi, M. Milicevic, A. Lemaˆ ıtre, A. Harouri, L. Le Gratiet, I. Sagnes, S. Ravets, J. Bloch, and A. Amo. Measuring Topological Invariants in a Polaritonic Analog of Graphene.Physical Review Letters, 126(12):127403, March 2021

    work page 2021

  58. [58]

    Madden, and Benjamin J

    Birgit Stiller, Moritz Merklein, Christian Wolff, Khu Vu, Pan Ma, Stephen J. Madden, and Benjamin J. Eggleton. Coherently refreshing hypersonic phonons for light storage.Optica, 7(5):492–497, May 2020

    work page 2020

  59. [59]

    W. P. Su, J. R. Schrieffer, and A. J. Heeger. Solitons in Polyacetylene.Physical Review Letters, 42(25):1698–1701, June 1979

    work page 1979

  60. [60]

    Roman S¨ usstrunk and Sebastian D. Huber. Observation of phononic helical edge states in a mechanical topological insulator.Science, 349(6243):47–50, July 2015. 19

    work page 2015

  61. [61]

    Tamura and J

    S. Tamura and J. P. Wolfe. Acoustic-phonon transmission in quasiperiodic superlattices. Physical Review B, 36:3491–3494, August 1987

    work page 1987

  62. [62]

    Giant Electrophononic Response in PbTiO 3 by Strain Engineering.Physical Review Letters, 123(18):185901, October 2019

    Pol Torres, Jorge Iniguez, and Riccardo Rurali. Giant Electrophononic Response in PbTiO 3 by Strain Engineering.Physical Review Letters, 123(18):185901, October 2019

    work page 2019

  63. [63]

    Jun Wang, Yiming Bai, Huiyun Liu, Zhuo Cheng, Mingchu Tang, Siming Chen, Jiang Wu, Konstantinos Papatryfonos, Zizhou Liu, Yongqing Huang, and Xiaomin Ren. Optimization of 1.3µm inas/gaas quantum dot lasers epitaxially grown on silicon: taking the optical loss of metamorphic epilayers into account.Laser Physics, 28(12):126206, oct 2018

    work page 2018

  64. [64]

    Xiang, E

    C. Xiang, E. R. Cardozo de Oliveira, S. Sandeep, K. Papatryfonos, M. Morassi, L. Le Gratiet, A. Harouri, I. Sagnes, A. Lemaitre, O. Ortiz, M. Esmann, and N. D. Lanzillotti- Kimura. Interference of ultrahigh frequency acoustic phonons from distant quasi-continuous sources, July 2024. arXiv:2407.06821 [cond-mat]

    work page arXiv 2024

  65. [65]

    Meng Xiao, Guancong Ma, Zhiyu Yang, Ping Sheng, Z. Q. Zhang, and C. T. Chan. Geomet- ric phase and band inversion in periodic acoustic systems.Nature Physics, 11(3):240–244, March 2015

    work page 2015

  66. [66]

    Meng Xiao, Z. Q. Zhang, and C. T. Chan. Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems.Physical Review X, 4(2):021017, April 2014

    work page 2014

  67. [67]

    Topological sound.Communications Physics, 1(1):1–13, December 2018

    Xiujuan Zhang, Meng Xiao, Ying Cheng, Ming-Hui Lu, and Johan Christensen. Topological sound.Communications Physics, 1(1):1–13, December 2018

    work page 2018

  68. [68]

    Degang Zhao, Meng Xiao, C. W. Ling, C. T. Chan, and Kin Hung Fung. Topological interface modes in local resonant acoustic systems.Physical Review B, 98(1):014110, July 2018

    work page 2018

  69. [69]

    Observation of Edge Waves in a Two-Dimensional Su-Schrieffer-Heeger Acoustic Network.Physical Review Applied, 12(3):034014, September 2019

    Li-Yang Zheng, Vassos Achilleos, Olivier Richoux, Georgios Theocharis, and Vincent Pag- neux. Observation of Edge Waves in a Two-Dimensional Su-Schrieffer-Heeger Acoustic Network.Physical Review Applied, 12(3):034014, September 2019. 20

    work page 2019