Electron trapping in a one-dimensional semiconductor quantum wire with multiple impurities

Tanaka, Satoshi; Garmon, Savannah; Ordóñez, Gonzalo; Petrosky, Tomio

doi:10.1103/physrevb.76.153308

Cited by 46 publications

(64 citation statements)

References 25 publications

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“…They exist in water waves between two obstacles [80][81][82][83][84][85] as first proposed by M. McIver 80 ; these are sometimes called sloshing trapped modes 86 . In quantum mechanics, they are found in impurity pairs in a waveguide 20,87 , time-dependent double-barrier structures 88 , quantum dot pairs connected to a wire [89][90][91][92][93] , double metal chains on a metal substrate 94 , or double waveguide bends 95 . In photonics, they exist in structures ranging from stacked PhC slabs [96][97][98] and double gratings 99,100 , to off-channel resonant defects connected to a waveguide or waveguide array 25,27,45,77,101,102 .…”

Section: Fabry-pérot Bic (Through Coupled Resonances)mentioning

confidence: 99%

Bound states in the continuum

et al. 2016

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Bound states in the continuum are waves that, defying conventional wisdom, remain localized even though they coexist with a continuous spectrum of radiating waves that can carry energy away. Their existence was first proposed in quantum mechanics and, being a general wave phenomenon, later identified in electromagnetic, acoustic, and water waves. They have been studied in a wide variety of material systems such as photonic crystals, optical waveguides and fibers, piezoelectric materials, quantum dots, graphene, and topological insulators. This Review describes recent developments in this field with an emphasis on the physical mechanisms that lead to these unusual states across the seemingly very different platforms. We discuss recent experimental realizations, existing applications, and directions for future work.

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Section: Fabry-pérot Bic (Through Coupled Resonances)mentioning

confidence: 99%

Bound states in the continuum

et al. 2016

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“…In the present system, the latter yields oscillations in Σ + (z) with energy as shown in Fig.2 in Ref. [24], in contrast to the infinite chain case [33]. In fact, with the change of variables z = − cos θ, the self-energy is written by…”

Section: Complex Eigenvalue Problemmentioning

confidence: 61%

“…This is the same self-energy that brings about the boundstate-in-continuum (BIC) as studied in Ref. [24]. (See Eq.…”

Section: Complex Eigenvalue Problemmentioning

confidence: 68%

“…where the wave function is confined in between the boundary and the impurity atom [24]. Note that Eq.…”

Section: Complex Eigenvalue Problemmentioning

confidence: 99%

“…It should be emphasized that the complex eigenvalue problem of the effective Hamiltonian becomes nonlinear in this approach in the sense that the effective Hamiltonian depends on its eigenvalue. It has been revealed recently that this nonlinearity of the eigenvalue problem of the effective Hamiltonian causes interesting phenomena, such as the dynamical phase transition [23], bound states in continuum (BIC) [24,25], as well as non-analytic spectral features [26][27][28], and modified time evolution near excep-tional points [29].…”

Section: Introductionmentioning

confidence: 99%

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Fano absorption spectrum with the complex spectral analysis

et al. 2017

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A new aspect of understanding a Fano absorption spectrum is presented in terms of the complex spectral analysis. The absorption spectrum of an impurity embedded in semi-infinite superlattice is investigated. The boundary condition on the continuum causes a large energy dependence of the self-energy, enhances the nonlinearity of the eigenvalue problem of the effective Hamiltonian, yielding several nonanalytic resonance states. The overall spectral features is perfectly reproduced by the direct transitions to these discrete resonance states. Even with a single optical transition path the spectrum exhibits an asymmetric Fano profile, which is enhanced for the transition to the nonanalytic resonance states. Since this is the genuine eigenstates of the total Hamiltonian, there is no ambiguity in the interpretation of the absorption spectrum, avoiding the arbitrary interpretation based on the quantum interference. The spectral change around the exceptional point is well understood when we extract the resonant state component.

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Bound states in the continuum in electronic transport through parallel‐coupled quantum‐dot structures

Han

Gong

Wei

2009

Physica Status Solidi (b)

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The occurrence of bound states in continuum (BICs) are theoretically studied, by investigating the electronic transport through coupled quantum‐dot structures (a quantum‐dot chain and a quantum‐dot ring) embodied in an Aharonov–Bohm interferometer. It is found that for the structure of a quantum‐dot chain, the BICs will come into being only under the condition of the same‐numbered quantum dots coupled to the quantum dots in the arms of the interferometer. But with respect to the quantum‐dot ring, the occurrence of BICs is remarkable, independent of the number of quantum dots in the ring. Furthermore, by the presence of an appropriate magnetic flux through the interferometer, the linear conductance spectrum of the (2n + 1)‐quantum‐dot ring (n ∈ integer) is the same as that of the 2n ‐quantum‐dot chain, on account of the occurrence of BICs in electron transport through these two kinds of systems. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Electron trapping in a one-dimensional semiconductor quantum wire with multiple impurities

Cited by 46 publications

References 25 publications

Bound states in the continuum

Bound states in the continuum

Fano absorption spectrum with the complex spectral analysis

Bound states in the continuum in electronic transport through parallel‐coupled quantum‐dot structures

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