Tilted Dirac cones and asymmetric conical diffraction in photonic Lieb-kagome lattices

Lang, Jean-Philippe; Hanafi, Haissam; Imbrock, Jörg; Denz, Cornélia

doi:10.1103/physreva.107.023509

Cited by 5 publications

(5 citation statements)

References 40 publications

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“…Notice that the tilted Dirac dispersion has been predicted to appear in 2D for quinoid-type [74] and hydrogenated graphene [75], 8-Pmmn Borophene [76], planar arrays of carbon nanotubes [77]. The tilted Dirac cones have been experimentally observed in photonic Liebkagome lattices [78]. We believe that the above theoretical predictions and experimental techniques will be instrumental in future to engineer the tilted dispersion of WSMs in 3D.…”

Section: Discussionmentioning

confidence: 81%

Fano resonances in tilted Weyl semimetals in an oscillating quantum well

Das,

Maity,

Sarkar

et al. 2024

J. Phys.: Condens. Matter

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Considering the low-energy model of tilted Weyl semimetal, we study the electronic transmission through a periodically driven quantum well, oriented in the transverse direction with respect to the tilt. We adopt the formalism of Floquet scattering theory and investigate the emergence of Fano resonances as an outcome of matching between the Floquet sidebands and quasi-bound states. The Fano resonance energy changes linearly with the tilt strength suggesting the fact that tilt-mediated part of quasi-bound states energies depends on the above factor. Given a value of momentum parallel (perpendicular) to the tilt, we find that the energy gap between two Fano resonances, appearing for two adjacent values of transverse (collinear) momentum with respect to the tilt direction, is insensitive (sensitive) to the change in the tilt strength. Such a coupled (decoupled) behavior of tilt strength and the collinear (transverse) momentum can be understood from the tilt-mediated and normal parts of the quasi-bound state energies inside the potential well. We vary the other tilt parameters and chirality of the Weyl points to conclusively verify the exact form of the tilt-mediated part of the quasi-bound state energy that is the same as the tilt term in the static dispersion. The tilt orientation can significantly alter the transport in terms of evolution of Fano resoance energy with tilt momentum. We analytically find the explicit form of the bound state energy that further supports all our numerical findings. Our work paves the way to probe the tilt-mediated part of quasi-bound state energy to understand the complex interplay between the tilt and Fano resonance.

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Section: Discussionmentioning

confidence: 81%

Fano resonances in tilted Weyl semimetals in an oscillating quantum well

Das,

Maity,

Sarkar

et al. 2024

J. Phys.: Condens. Matter

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“…. The frequencies associated with each spin-resolved conductance exhibit a proportional relationship, as described by Equation (15). This proportionality provides a fundamental understanding of the observed oscillatory behavior in spin transport through a tilted Dirac cone.…”

Section: Resultsmentioning

confidence: 94%

“…Notably, tilted Dirac cones in photonic systems lead to entirely new phenomena. Using a Lieb-kagome lattice framework, Hanafi et al demonstrated the manipulation of Dirac cone tilt in photonic structures, unveiling asymmetric conical diffraction and showcasing control confirmed both theoretically and experimentally [15]. Photonic systems provide a rich platform for exploring Dirac cone physics.…”

Section: Introductionmentioning

confidence: 97%

Asymmetric Tilt-Induced Quantum Beating of Conductance Oscillation in Magnetically Modulated Dirac Matter Systems

Sukprasert,

Rakrong,

Saipaopan

et al. 2024

Nanomaterials

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Herein, we investigate the effect of tilt mismatch on the quantum oscillations of spin transport properties in two-dimensional asymmetrically tilted Dirac cone systems. This study involves the examination of conductance oscillation in two distinct junction types: transverse- and longitudinal-tilted Dirac cones (TTDCs and LTDCs). Our findings reveal an unusual quantum oscillation of spin-polarized conductance within the TTDC system, characterized by two distinct anomaly patterns within a single period, labeled as the linear conductance phase and the oscillatory conductance phase. Interestingly, these phases emerge in association with tilt-induced orbital pseudo-magnetization and exchange interaction. Our study also demonstrates that the structure of the LTDC can modify the frequency of spin conductance oscillation, and the asymmetric effect within this structure results in a quantum beating pattern in oscillatory spin conductance. We note that an enhancement in the asymmetric longitudinal tilt velocity ratio within the structure correspondingly amplifies the beating frequency. Our research potentially contributes valuable insights for detecting the asymmetry of tilted Dirac fermions in type-I Dirac semimetal-based spintronics and quantum devices.

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“…[90,91] Moreover, tilted Dirac cones have also been experimentally observed in photonic Lieb-kagome lattices. [92] For the case of QBT, as occuring in bilayer graphene, a tilt term can be engineered similarly as in monolayer graphene. Given the above discussion, it is evident that a tilt in LBT and QBT dispersions is not only a theoretical idea but also an experimentally feasible phenomena.…”

Section: Discussionmentioning

confidence: 99%

Fano Resonances for Tilted Linear and Quadratic Band Touching Dispersions in a Harmonically Driven Potential Well

Gregefalk,

Black‐Schaffer,

Nag

2023

Annalen der Physik

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Considering models with tilted linear and quadratic band touching dispersions, the effect of the transverse linear tilt on the transmission spectra is analyzed through a harmonically driven potential well oriented longitudinally. Employing the Floquet scattering matrix formalism, Fano resonances are found as an outcome of matching between the Floquet sidebands and quasi‐bound states, where the tilt renormalizes their energies and wave vectors. It is found that the Fano resonance energy decreases (increases) for linear (quadratic) band touchings as the magnitude of the transverse momentum increases, indicating a distinct signature of the underlying band dispersion in the transmission profile. The sign of the product of the transverse momentum and the tilt also determines the relative shift in the Fano resonance energy with respect to the untilted case for both band dispersions, suggesting a possible tunability of the Fano resonance for tilted systems. Importantly, the tilt strength can also be directly determined by measuring the Fano resonance energy as function of the transverse momenta direction. The shot noise spectra and their differential property are further studied where an inflection region and undulation, respectively, is found around the Fano resonance energy. Interestingly, differential shot noise and transmission spectra both qualitatively behave in a similar fashion and might thus serve as important observables for future experiments on driven solid‐state systems.

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Tilted Dirac cones and asymmetric conical diffraction in photonic Lieb-kagome lattices

Cited by 5 publications

References 40 publications

Fano resonances in tilted Weyl semimetals in an oscillating quantum well

Fano resonances in tilted Weyl semimetals in an oscillating quantum well

Asymmetric Tilt-Induced Quantum Beating of Conductance Oscillation in Magnetically Modulated Dirac Matter Systems

Fano Resonances for Tilted Linear and Quadratic Band Touching Dispersions in a Harmonically Driven Potential Well

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