Boundary Immittance Operators for the SchrÖdinger–Maxwell Problem of Carrier Dynamics in Nanodevices

Pierantoni, Luca; Mencarelli, Davide; Rozzi, T.

doi:10.1109/tmtt.2009.2017351

Cited by 41 publications

(31 citation statements)

References 21 publications

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“…In the time-domain, a full-wave approach has been introduced: the Maxwell equations, discretized by the transmission line matrix (TLM) method, are selfconsistently coupled to the Schrödinger/Dirac equations, discretized by a proper finite-difference time-domain or a TLM scheme [28][29].…”

Section: Time-domain: Maxwell-coherent Transportmentioning

confidence: 99%

“…In [29][30], we introduced exact boundary conditions that rigorously model absorption and injection of charge at the terminal planes, in a realistic field effect transistor environment.…”

Section: Time-domain: Maxwell-coherent Transportmentioning

confidence: 99%

“…Several examples of the electromagnetics/transport dynamics are shown in [28][29]. It is highlighted that the self-generated electromagnetic field may affect the dynamics (group velocity, kinetic energy, etc.)…”

Section: Time-domain: Maxwell-coherent Transportmentioning

confidence: 99%

“…We consider the GNR in a realistic FET environment, with two metallic source-drain electrode contacts. In order to model the injection-absorption of charge, we apply absorbing boundary conditions as in [29]. In fig.…”

Section: Time-domain: Dirac-maxwellmentioning

confidence: 99%

“…Recently, we have introduced full-wave techniques ( fig. 1) both in the frequency (energy)-domain [21][22][23][24][25][26], and the time-domain [28][29][30][31][32][33][34][35][36] for the investigation of new devices based on carbon materials, namely carbon nanotube (CNT), multiwall (MW) CNT, graphene and graphene nanoribbon (GNR).…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Numerical Techniques for the Analysis of Charge Transport and Electrodynamics in Graphene Nanoribbons

Pierantoni

Mencarelli

2012

Nanomaterials and Nanotechnology

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In this paper, we report on multiphysics fullwave techniques in the frequency (energy)-domain and the time-domain, aimed at the investigation of the combined electromagnetic-coherent transport problem in carbon based on nano-structured materials and devices, e.g., graphene nanoribbons.The frequency-domain approach is introduced in order to describe a Poisson/Schrödinger system in a quasi static framework. An example of the self-consistent solution of laterally coupled graphene nanoribbons is shown.The time-domain approach deals with the solution of the combined Maxwell/Schrödinger system of equations. The propagation of a charge wavepacket is reported, showing the effect of the self-generated electromagnetic field that affects the dynamics of the charge wavepacket.

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Section: Time-domain: Maxwell-coherent Transportmentioning

confidence: 99%

“…In [29][30], we introduced exact boundary conditions that rigorously model absorption and injection of charge at the terminal planes, in a realistic field effect transistor environment.…”

Section: Time-domain: Maxwell-coherent Transportmentioning

confidence: 99%

Section: Time-domain: Maxwell-coherent Transportmentioning

confidence: 99%

Section: Time-domain: Dirac-maxwellmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical Techniques for the Analysis of Charge Transport and Electrodynamics in Graphene Nanoribbons

Pierantoni

Mencarelli

2012

Nanomaterials and Nanotechnology

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T he Symplectic FDTD Method for M axwell and S chrödinger Equations

Huang

Xie

Ren

et al. 2022

Advances in Time‐Domain Computational Electromagnetic Methods

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Coupled analysis of Maxwell–Schrödinger equations by using the length gauge: harmonic model of a nanoplate subjected to a 2D electromagnetic field

Ohnuki

Takeuchi

Sako

et al. 2013

Int J Numerical Modelling

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A novel algorithm is proposed for solving coupled Maxwell and Schrödinger equations relying on the use of a length gauge form of the coupling between an electromagnetic field and electrons. Numerical simulations using codes implemented with the proposed and conventional algorithms have been performed for a harmonic model of a nanoplate subjected to a pulsed laser field whose central frequency is close to the plasmon frequency. We verify that the proposed algorithm can reduce computational time almost by half as compared with the conventional method. Figure 4. Relative error « of the time-dependent probability density measured at y = 0, | c (y = 0, t)| 2 for an electron confined by a 1D harmonic oscillator potential. in 2002. His research interest is concerned with computational electromagnetics. 544 S. OHNUKI ET AL.

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Boundary Immittance Operators for the SchrÖdinger–Maxwell Problem of Carrier Dynamics in Nanodevices

Cited by 41 publications

References 21 publications

Numerical Techniques for the Analysis of Charge Transport and Electrodynamics in Graphene Nanoribbons

Numerical Techniques for the Analysis of Charge Transport and Electrodynamics in Graphene Nanoribbons

T he Symplectic FDTD Method for M axwell and S chrödinger Equations

Coupled analysis of Maxwell–Schrödinger equations by using the length gauge: harmonic model of a nanoplate subjected to a 2D electromagnetic field

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