Anomalous transmission of disordered photonic graphenes at the Dirac point

Wang, Xuefeng; Jiang, Haitao; Yan, Chao; Sun, Yipeng; Li, Y. H.; Shi, Yanling; Chen, H.

doi:10.1209/0295-5075/103/17003

Cited by 12 publications

(11 citation statements)

References 33 publications

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“…[216], references therein). Due to the wave nature of the electron motion in the honeycomb graphene lattice, the relativistic pseudo-particles can also be created using microwave photonic crystals [217][218][219][220][221][222][223][224][225][226][227][228][229][230] or mechanical vibrations and phononic crystals [231][232][233][234][235][236], where the propagation of the electromagnetic or acoustic wave follows the same honeycomb lattice structure, as shown in the left panel of Fig. 2.…”

Section: B Microwave Billiards With a Triangular Photonic Structurementioning

confidence: 99%

“…The effective boundary displacement can be determined as δ 1 = ∆l − ∆ l − and δ 2 = ∆ l + − ∆l. (220,222,223)]. The parameters are u 0 = 2.045/a, ∆l = 2a, m 0 = 0.2/a, and the resulting boundary shift is δ = 0.032a.…”

Section: Tunneling Rate and Tunneling Probability Of Spin-polarized Statesmentioning

confidence: 99%

“…The relative values of b L,R can be obtained from Eq. (222). With these coefficients, the wavefunction in the x-direction can be obtained from Eq.…”

Section: Tunneling Rate and Tunneling Probability Of Spin-polarized Statesmentioning

confidence: 99%

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Relativistic quantum chaos

Huang

Grebogi

et al. 2018

Physics Reports

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Quantum chaos is generally referred to as the study of quantum manifestations or fingerprints of nonlinear dynamical and chaotic behaviors in the corresponding classical system, an interdisciplinary field that has been active for about four decades. In closed chaotic Hamiltonian systems, for example, the basic phenomena studied include energy level-spacing statistics and quantum scarring. In open Hamiltonian systems, quantum chaotic scattering has been investigated extensively. Previous works were almost exclusively for nonrelativistic quantum systems described by the Schrödinger equation. Recent years have witnessed a rapid growth of interest in Dirac materials such as graphene, topological insulators, molybdenum disulfide and topological Dirac semimetals. A common feature of these materials is that their physics is described by the Dirac equation in relativistic quantum mechanics, generating phenomena that do not usually emerge in conventional semiconductor materials. This has important consequences. In particular, at the level of basic science, a new field has emerged: Relativistic Quantum Chaos (RQC), which aims to uncover, understand, and exploit relativistic quantum manifestations of classical nonlinear dynamical behaviors including chaos. Practically, Dirac materials have the potential to revolutionize solid-state electronic and spintronic devices, and have led to novel device concepts such as valleytronics. Exploiting manifestations of nonlinear dynamics and chaos in the relativistic quantum regime can have significant applications.The aim of this article is to give a comprehensive review of the basic results obtained so far in the emergent field of RQC. Phenomena to be discussed in depth include energy level-spacing statistics in graphene or Dirac fermion systems that exhibit various nonlinear dynamical behaviors in the classical limit, relativistic quantum scars (unusually high concentrations of relativistic quantum spinors about classical periodic orbits), peculiar features of relativistic quantum chaotic scattering and quantum transport, manifestations of the Klein paradox and its effects on graphene or 2D Dirac material based devices, chaos based modulation of conductance fluctuations in relativistic quantum dots, regularization of relativistic quantum tunneling by chaos, superpersistent currents in chaotic Dirac rings subject to a magnetic flux, and exploitation of relativistic quantum whispering gallery modes for applications in quantum information science. Computational methods for solving the Dirac equation in various situations will be introduced and physical theories developed so far in RQC will be described. Potential device applications will be discussed.

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Section: B Microwave Billiards With a Triangular Photonic Structurementioning

confidence: 99%

Section: Tunneling Rate and Tunneling Probability Of Spin-polarized Statesmentioning

confidence: 99%

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Relativistic quantum chaos

Huang

Grebogi

et al. 2018

Physics Reports

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“…Using photons, one can selectively excite states, and observe both the spectral and spatial responses throughout the material, which are challenging tasks in electronic systems. Experimental efforts studying gauge fields with photons have been limited to the microwave domain [3][4][5][6][7], while investigations in the optical domain have remained elusive. This is due to the fact that magneto-optic effectsthe simplest source of coupling between gauge fields and photons-are extremely weak at optical frequencies.…”

mentioning

confidence: 99%

Topologically Robust Transport of Photons in a Synthetic Gauge Field

et al. 2014

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Electronic transport is localized in low-dimensional disordered media. The addition of gauge fields to disordered media leads to fundamental changes in the transport properties. We implement a synthetic gauge field for photons using silicon-on-insulator technology. By determining the distribution of transport properties, we confirm that waves are localized in the bulk and localization is suppressed in edge states. Our system provides a new platform for investigating the transport properties of photons in the presence of synthetic gauge fields.

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“…In optics, it was predicted that in photonic graphene lattices, the pseudospin of the backscattered wave is anti-parallel to the input pseudospin direction, resulting in a CBS dip due to a Berry phase of π 26 . Consequently, enhanced transmission in photonic graphene lattices was observed in the microwave regime 27 . Here, we directly measured the destructive interference between the counter-propagating paths inside the fiber.…”

Section: Discussionmentioning

confidence: 99%

Control of coherent backscattering by breaking optical reciprocity

et al. 2016

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Reciprocity is a universal principle that has a profound impact on many areas of physics. A fundamental phenomenon in condensed-matter physics, optical physics and acoustics, arising from reciprocity, is the constructive interference of quantum or classical waves which propagate along time-reversed paths in disordered media, leading to, for example, weak localization and metal-insulator transition. Previous studies have shown that such coherent effects are suppressed when reciprocity is broken 1-3 . Here we show that by breaking reciprocity in a controlled manner, we can tune, rather than simply suppress, these phenomena. In particular, we manipulate coherent backscattering of light 4-7 , also known as weak localization. By utilizing a nonreciprocal magneto-optical effect, we control the interference between time-reversed paths inside a multimode fiber with strong mode mixing, and realize a continuous transition from the wellknown peak to a dip in the backscattered intensity. Our results may open new possibilities for coherent control of classical and quantum waves in complex systems.

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Anomalous transmission of disordered photonic graphenes at the Dirac point

Cited by 12 publications

References 33 publications

Relativistic quantum chaos

Relativistic quantum chaos

Topologically Robust Transport of Photons in a Synthetic Gauge Field

Control of coherent backscattering by breaking optical reciprocity

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