Anomalous bulk-edge correspondence in continuous media
Clément Tauber,Pierre Delplace,Antoine Venaille +2 more
- 11 Feb 2020
- Vol. 2, Iss: 1, pp 013147
TL;DR: In this article, the authors show that the bulk-edge correspondence fails for continuous media, due to the presence of ghost topological modes, revealed by scattering theory, which solves this apparent paradox.
read more
Abstract: This work shows that bulk-edge correspondence fails for continuous media. From oceanic to superfluid waves passing by active fluids, the number of edge modes depends on the boundary conditions and does not match with the bulk invariant. This failure is symptomatic of unbounded yet regularized Hamiltonians and is due to the presence of ghost topological modes, revealed by scattering theory, which solves this apparent paradox.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Topology of 2D Dirac operators with variable mass and an application to shallow-water waves
Alessandro Tarantola
- 14 Jul 2023
TL;DR: In this article , the mass depend on the position operator in the vertical direction, interpolating between the original model and its negative-mass counterpart, and the resulting Hamiltonian has a compact Brillouin zone and a well-defined bulk index.
Topological Phase Diagram of an Interacting Kitaev Chain: Mean Field versus DMRG Study
Giovanni Nunziante,Alfonso Maiellaro,Claudio Guarcello,Roberta Citro +3 more
TL;DR: Topological phase diagram of an interacting Kitaev chain exhibits robust topological phase as a function of interaction strength and on-site energy. Mean field and DMRG simulations show good agreement in reporting the phase transition.
Emergent Kelvin waves in chiral active matter
Anthony R. Poggioli,David T. Limmer +1 more
- 26 Jun 2023
TL;DR: In this article , the authors deduce directly from first principles the hydrodynamic equations for a system far from equilibrium, a chiral active fluid in which both parity and time-reversal symmetries are broken.
Robust propagation of internal coastal Kelvin waves in complex domains
Chenyang Ren,Xianping Fan,Yiling Xia,Tiancheng Chen,Liu Yang,Jin-Qiang Zhong,Hepeng Zhang +6 more
- 25 Feb 2021
TL;DR: In this paper, internal coastal Kelvin waves were experimentally generated in a two-layer fluid system on a rotating table, and they propagate in the same direction as the table rotation along boundaries of complex geometries without being scattered.
Topological chiral interface states beyond insulators
Lavi K. Upreti,Pierre Delplace +1 more
TL;DR: In this article, the authors proposed a mechanism to engineer a chiral spectral flow of interface states in a gapless semimetallic system, where the topological indices of the bands are ill-defined, owing to the existence of bulk band touching points.
References
Colloquium: Topological insulators
M. Z. Hasan,Charles L. Kane +1 more
TL;DR: In this paper, the theoretical foundation for topological insulators and superconductors is reviewed and recent experiments are described in which the signatures of topologically insulators have been observed.
Ordering, metastability and phase transitions in two-dimensional systems
TL;DR: In this article, a new definition of order called topological order is proposed for two-dimensional systems in which no long-range order of the conventional type exists, and the possibility of a phase transition characterized by a change in the response of the system to an external perturbation is discussed in the context of a mean field type of approximation.
9.9K
Quantized Hall conductance in a two-dimensional periodic potential
TL;DR: In this article, the Hall conductance of a two-dimensional electron gas has been studied in a uniform magnetic field and a periodic substrate potential, where the Kubo formula is written in a form that makes apparent the quantization when the Fermi energy lies in a gap.
7K
Topological Photonics
Tomoki Ozawa,Hannah M. Price,Alberto Amo,Nathan Goldman,Mohammad Hafezi,Ling Lu,Mikael C. Rechtsman,David Schuster,Jonathan Simon,Oded Zilberberg,Iacopo Carusotto +10 more
TL;DR: Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light as mentioned in this paper, which holds great promise for applications.
Photonic Floquet topological insulators
Mikael C. Rechtsman,Julia M. Zeuner,Yonatan Plotnik,Yaakov Lumer,Daniel K. Podolsky,Felix Dreisow,Stefan Nolte,Mordechai Segev,Alexander Szameit +8 more
TL;DR: This work proposes and experimentally demonstrate a photonic topological insulator free of external fields and with scatter-free edge transport—a photonic lattice exhibiting topologically protected transport of visible light on the lattice edges.
3.3K