Topological transitions in continuously deformed photonic crystals

Zhu, Xuan; Wang, Hai-Xiao; Xu, Chang‐Qing; Lai, Yun; Jiang, Jianhua; John, Sajeev

doi:10.1103/physrevb.97.085148

Cited by 90 publications

(57 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In photonics, such phenomena can emerge in systems with [32][33][34][35][36][37][38] or without [39] time-reversal symmetry. In the literature, there are various proposals for photonic topological insulators [32][33][34][35][36][37][38][39][40][41]. For simplicity, we shall consider 2D all-dielectric photonic crystals for the transverse-magnetic modes, which can be realized by metallic plates cladding along the z direction [38].…”

Section: Quantum Spin Hall Effect and Fragile Topology In Photonic Anmentioning

confidence: 99%

See 1 more Smart Citation

Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology

2019

Self Cite

View full text Add to dashboard Cite

The rapid development of topological photonics and acoustics calls for accurate understanding of band topology in classical waves, which is not yet achieved in many situations. Here, we present the Wilson-loop approach for exact numerical calculation of the topological invariants for several photonic/sonic crystals. We demonstrate that these topological photonic/sonic crystals are topological crystalline insulators with fragile topology, a feature which has been ignored in previous studies. We further discuss the bulk-edge correspondence in these systems with emphasis on symmetry broken on the edges.

show abstract

Section: Quantum Spin Hall Effect and Fragile Topology In Photonic Anmentioning

confidence: 99%

“…Helical edge states, the hallmark of quantum spin Hall effects, have been widely studied in photonic and acoustic system [32][33][34][35][36][37][38][59][60][61]. Here we perform calculations for the edge states using the sonic crystals studied in section 3.3.…”

Section: Quantum Spin Hall Effect and Helical Edge Statementioning

confidence: 99%

Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology

2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…In the last few years, it could be shown that the non-reciprocal behaviour of magneto-optical materials like InSb has very interesting consequences for nanoscale thermal radiation. For example, fundamental effects like a persistent heat-current [1,2], giant magnetoresistance [3,4], thermal Hall effect [5] as well as a circular heat flux, angular momentum, and spin which do also persist in global equilibrium [6] were highlighted. As reviewed and discussed in detail in Ref.…”

Section: Introductionmentioning

confidence: 99%

Thermal rectification and spin-spin coupling of nonreciprocal localized and surface modes

Ott

Biehs

2020

Phys. Rev. B

View full text Add to dashboard Cite

We study the rectification of near-field radiative heat transfer between two InSb nano-particles due to the presence of non-reciprocal surface modes in a nearby InSb sample when an external magnetic field is applied and its dependence on the magnetic field strength. We reveal the spin-spin coupling mechanism of the localized particle resonances and the surface mode resonances which is substantiated by the directional heat flux in the given setup. We discuss further the interplay of the frequency shift, the propagation length, and local density of states on the strength and directionality of the rectification as well as the non-reciprocal heating effect of the nanoparticles. arXiv:2002.08752v1 [cond-mat.mes-hall]

show abstract

“…Usually topological edge states appear when one of the materials forming the interface is periodic and possesses specific degeneracies in its spectrum. Edge states at the interfaces of such mate-rials (including those with honeycomb and hexagonal structure) may be created by introducing deformations into underlying lattices [13], by varying spacing between lattice sites across the interface, introducing detuning between sublattices, changing orientation of anisotropic elements placed in the lattice nodes, and realization of anisotropic coupling between different lattice sites. They have been suggested and observed in electromagnetic systems, including photonic crystals [14][15][16], periodic metamaterial structures [17,18], shallow waveguide arrays [19], for acoustic [20] and elastic [21] waves, polaritons [22], as well as for electronic states in two-dimensional materials [23].…”

Section: Introductionmentioning

confidence: 99%

Interface states in polariton topological insulators

2019

View full text Add to dashboard Cite

We address linear and nonlinear topological interface states in polariton condensates excited at the interface of the honeycomb and Lieb arrays of microcavity pillars in the presence of spin-orbit coupling and Zeeman splitting in the external magnetic field. Such interface states appear only in total energy gaps of the composite structure when parameters of the honeycomb and Lieb arrays are selected such that some topological gaps in the spectrum of one of the arrays overlap with topological or nontopological gaps in the spectrum of other array. This is in contrast to conventional edge states at the interface of periodic topological and uniform trivial insulators, whose behaviour is determined exclusively by the spectrum of topological medium. The number of emerging interface states is determined by the difference of Chern numbers of overlapping gaps. The illustrative examples with one or two coexisting unidirectional interface states are provided. The representative feature of the system is the possibility of wide tuning of concentration of power of the interface states between two limiting cases when practically all power is concentrated either in Lieb or in honeycomb array. Localization of the interface states and their penetration depth into arrays drastically vary with Bloch momentum or upon modification of the amplitude of the interface state in the nonlinear regime. We illustrate topological protection of the interface states manifested in the absence of backscattering on interface defects, and study their modulation instability in the nonlinear regime. The latter leads to formation of quasisolitons whose penetration into different arrays also depends on Bloch momentum. In addition, we discuss the impact of losses and coherent pump leading to bistability of the interface states.

show abstract

Topological transitions in continuously deformed photonic crystals

Cited by 90 publications

References 35 publications

Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology

Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology

Thermal rectification and spin-spin coupling of nonreciprocal localized and surface modes

Interface states in polariton topological insulators

Contact Info

Product

Resources

About