PT symmetric Floquet topological phase in SSH model

Turker, Z.; Tombuloglu, S.; Yüce, C.

doi:10.1016/j.physleta.2018.05.015

Cited by 44 publications

(26 citation statements)

References 35 publications

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“…To close this section we note that there are a few studies that examine the interplay between non-Hermiticity and driving in models with gains and losses [160][161][162][163], or others with non-reciprocal interactions [164].…”

Section: Connection With Floquet Systemsmentioning

confidence: 99%

Perspective on topological states of non-Hermitian lattices

Torres

2019

J. Phys. Mater.

143

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The search of topological states in non-Hermitian systems has gained a strong momentum over the last two years climbing to the level of an emergent research front. In this perspective we give an overview with a focus on connecting this topic to others like Floquet systems. Furthermore, using a simple scattering picture we discuss an interpretation of concepts like the Hamiltonian's defectiveness, i.e. the lack of a full basis of eigenstates, crucial in many discussions of topological phases of non-Hermitian Hamiltonians.

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Section: Connection With Floquet Systemsmentioning

confidence: 99%

Perspective on topological states of non-Hermitian lattices

Torres

2019

J. Phys. Mater.

143

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“…A complete topological classification of FNH systems based on their underlying symmetries is not only of fundamental significance but also experimentally relevant. A periodically driven non-Hermitian system features non-unitary quantum dynamics and describes a variety of physical settings, e.g., photonic systems with ubiquitous gain and loss or nonreciprocal effects under Floquet driving [134][135][136][137][138][139][140][141][142][143], ultracold atoms with dissipation interacting with an external electromagnetic field [144][145][146][147][148][149], and non-unitary quantum walks [150][151][152][153][154].…”

Section: Introductionmentioning

confidence: 99%

Symmetry and topological classification of Floquet non-Hermitian systems

Liu,

Hu,

Chen

2021

Preprint

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“…The Su-Schrieffer-Heeger (SSH) model constitutes a simple yet powerful and instructive tight-binding (TB) based model to describe the electronic and topological properties of solids, and induced a large body of literature within the last four decades [1][2][3][4][5][6][7][8][9][10][11][12][13]. Besides being a playground to explore topological phases [6,14] and quasiparticles [1,[15][16][17], it is also capable of revealing transport properties of organic polymers such as polyacetylene [18] and the electronic energy level diagrams of molecular chains, for instance, if applied to finite systems.…”

Section: Introductionmentioning

confidence: 99%

Modification of the Optical Properties of Molecular Chains upon Coupling to Adatoms

Müller,

Kosik,

Pelc

et al. 2021

Preprint

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Adsorbed atoms (adatoms) coupled to the matrix of solid state host materials as impurities can significantly modify their properties. Especially in low-dimensional materials, such as one-dimensional organic polymer chains or quasi-one-dimensional graphene nanoribbons, intriguing manipulation of the optical properties, such as the absorption cross section, is possible. The most widely used approach to couple quantum emitters to optical antennas is based on the Purcell effect. This formalism, however, does not comprise charge transfer from the emitter to the antenna, but only spontaneous emission of the quantum emitter into the tailored photonic environment, that is evoked by the antenna. To capture such effects, we present a tight-binding formalism to couple an adatom to a finite Su-Schrieffer-Heeger chain, where the former is treated as a two-level system and the latter acts as an optical antenna. We systematically analyze how the coupling strength and the position of the adatom influence the optical properties of the molecular chains in the model. We take into account charge transfer from the adatom to the antenna and vice versa via an inter-system hopping parameter, and also include Coulomb interaction within the antenna as well as between the adatom and the antenna. We show that coupling the adatom to one of the bulk atoms of the linear chain results in a substantial change in optical properties already for comparatively small coupling strengths. We also find that the position of the adatom crucially determines if and how the optical properties of the chains are altered. Therefore, we identify this adatom-chain hybrid system as a tunable platform for light-matter interaction at the nanoscale.I.

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PT symmetric Floquet topological phase in SSH model

Cited by 44 publications

References 35 publications

Perspective on topological states of non-Hermitian lattices

Perspective on topological states of non-Hermitian lattices

Symmetry and topological classification of Floquet non-Hermitian systems

Modification of the Optical Properties of Molecular Chains upon Coupling to Adatoms

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