Self-consistent Wigner distribution function study of gate-voltage controlled triple-barrier resonant tunnelling diode

Wójcik, P.; Spisak, B. J.; Wołoszyn, M.; Adamowski, J.

doi:10.1088/0268-1242/24/9/095012

Cited by 9 publications

(16 citation statements)

References 43 publications

(59 reference statements)

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“…In striking contrast to the standard RTA model in (5), the generalized version in (40) intrinsically ensures the positivity of the spatial charge density n(z) as well as of the level populations f n . Indeed, (i) as shown in Ref.…”

Section: Proposed Nonlocal Scattering Modelsmentioning

confidence: 98%

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Wigner-function formalism applied to semiconductor quantum devices: Need for nonlocal scattering models

2017

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In designing and optimizing new-generation nanomaterials and related quantum devices, dissipation versus decoherence phenomena are often accounted for via local scattering models, such as relaxation-time and Boltzmann-like schemes. Here we show that the use of such local scattering approaches within the Wigner-function formalism may lead to unphysical results, namely anomalous suppression of intersubband relaxation, incorrect thermalization dynamics, and violation of probability-density positivity. Furthermore, we propose a quantum-mechanical generalization of relaxation-time and Boltzmann-like models, resulting in nonlocal scattering superoperators that enable one to overcome such limitations.

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Section: Proposed Nonlocal Scattering Modelsmentioning

confidence: 98%

“…Importantly, the generalization scheme employed to derive the nonlocal RTA model in (40) can also be adopted to overcome the limitations of the Boltzmannlike treatment pointed out in Sec. III B.…”

Section: B Nonlocal Boltzmann-like Scattering Modelmentioning

confidence: 99%

Wigner-function formalism applied to semiconductor quantum devices: Need for nonlocal scattering models

2017

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“…(3) coupled through the electron density (4) constitute a nonlinear problem that can be solved numerically by a self-consistent procedure [6]. We assume the Dirichlet boundary conditions for the Poisson equation [7] and the open boundary conditions for the quantum kinetic equation [5]. The spin-dependent current-voltage characteristics for the independent spin channels can be obtained from the current density formula of the form…”

Section: Model Of Nanodevice and Methods Of Calculationsmentioning

confidence: 99%

Simulation of Spin-Dependent Electronic Transport through Resonant Tunnelling Diode with Paramagnetic Quantum Well

et al. 2011

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The spin-dependent electronic transport is investigated in a paramagnetic resonant tunnelling diode formed from Zn 1−x Mn x Se quantum well between two ZnBeSe barrier layers. The spin-dependent current-voltage characteristics have been obtained in the presence of magnetic fields by solving the quantum kinetic equation for the Wigner distribution function and the Poisson equation in the self-consistent procedure. We have obtained two distinct current peaks due to the giant Zeeman splitting of electronic levels in a qualitative agreement with experiment. We have shown that the sign of spin current polarization can be reversed by tuning the bias voltage. Moreover, we have found the bias voltage windows with a nearly constant polarization.

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“…As anticipated in the introductory section, in addition to the density-matrix treatments just recalled, state-of-the-art quantum nanodevices are often modelled via Wigner-function-based simulation schemes [ 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65 , 66 , 67 , 68 , 69 , 70 , 71 , 72 , 73 , 74 , 75 , 76 , 77 , 78 ]. Regardless of the specific problem under investigation, the time evolution of the single-particle Wigner function

can be expressed once again as the sum of a deterministic and of a scattering contribution, namely [ 86 ]:

…”

Section: Semiclassical Scattering Modelsmentioning

confidence: 99%

“…Due to the difficulty in dealing with its fully nonlocal character, it is common practice in many quantum-simulation approaches to replace the scattering superoperator in Equation ( 8 ) with a local superoperator. The simplest choice is once again the adoption of an RTA model [ 49 , 51 , 66 , 75 ] that rewords the semiclassical case, namely:

…”

Section: Semiclassical Scattering Modelsmentioning

confidence: 99%

Microscopic Theory of Energy Dissipation and Decoherence in Solid-State Quantum Devices: Need for Nonlocal Scattering Models

Iotti

Rossi

2018

Entropy

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Energy dissipation and decoherence in state-of-the-art quantum nanomaterials and related nanodevices are routinely described and simulated via local scattering models, namely relaxation-time and Boltzmann-like schemes. The incorporation of such local scattering approaches within the Wigner-function formalism may lead to anomalous results, such as suppression of intersubband relaxation, incorrect thermalization dynamics, and violation of probability-density positivity. The primary goal of this article is to investigate a recently proposed quantum-mechanical (nonlocal) generalization (Phys. Rev. B 2017, 96, 115420) of semiclassical (local) scattering models, extending such treatment to carrier-carrier interaction, and focusing in particular on the nonlocal character of Pauli-blocking contributions. In order to concretely show the intrinsic limitations of local scattering models, a few simulated experiments of energy dissipation and decoherence in a prototypical quantum-well semiconductor nanostructure are also presented.

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Self-consistent Wigner distribution function study of gate-voltage controlled triple-barrier resonant tunnelling diode

Cited by 9 publications

References 43 publications

Wigner-function formalism applied to semiconductor quantum devices: Need for nonlocal scattering models

Wigner-function formalism applied to semiconductor quantum devices: Need for nonlocal scattering models

Simulation of Spin-Dependent Electronic Transport through Resonant Tunnelling Diode with Paramagnetic Quantum Well

Microscopic Theory of Energy Dissipation and Decoherence in Solid-State Quantum Devices: Need for Nonlocal Scattering Models

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