A Monte Carlo Study of electron transport in suspended monolayer graphene

Rengel, Raúl; Couso, C.; Martı́n, Marı́a Jesús

doi:10.1109/cde.2013.6481371

Cited by 11 publications

(4 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Figure 6 shows the average time between scatterings for silicene for the electric field up to 40 kV cm −1 . It is interesting to take note that the scattering time for silicene is about 50 times lower than graphene [29]. While silicene on Al 2 O 3 does not exhibit a clear saturation value for the scattering time, the average time between scatterings for suspended silicene starts to saturate at 25.6 fs which corresponds to the mean free path of 13 Å.…”

Section: Resultsmentioning

confidence: 96%

Analytical band Monte Carlo analysis of electron transport in silicene

Yeoh

Ong

Ooi

et al. 2016

Semicond. Sci. Technol.

View full text Add to dashboard Cite

An analytical band Monte Carlo (AMC) with linear energy band dispersion has been developed to study the electron transport in suspended silicene and silicene on aluminium oxide (Al 2 O 3) substrate. We have calibrated our model against the full band Monte Carlo (FMC) results by matching the velocity-field curve. Using this model, we discover that the collective effects of charge impurity scattering and surface optical phonon scattering can degrade the electron mobility down to about 400 cm 2 V −1 s −1 and thereafter it is less sensitive to the changes of charge impurity in the substrate and surface optical phonon. We also found that further reduction of mobility to ∼100 cm 2 V −1 s −1 as experimentally demonstrated by Tao et al (2015 Nat. Nanotechnol. 10 227) can only be explained by the renormalization of Fermi velocity due to interaction with Al 2 O 3 substrate.

show abstract

Section: Resultsmentioning

confidence: 96%

Analytical band Monte Carlo analysis of electron transport in silicene

Yeoh

Ong

Ooi

et al. 2016

Semicond. Sci. Technol.

View full text Add to dashboard Cite

show abstract

“…In figure 2 the saturation velocity (considered at 40 kV cm −1 ) and the peak velocity (maximum velocity in the applied field range considered) are also shown. Contrarily to the case of graphene [16], in this context the negative differential resistance cannot be attributed to the conical shape of the conduction band. The abrupt treatment of the scattering relaxing time in the hard cutoff description implies a threshold energy v 2 th 0 F 0  e e p l = = for the activation of this mechanism.…”

Section: Resultsmentioning

confidence: 96%

Damping of acoustic flexural phonons in silicene: influence on high-field electronic transport

Rengel¹,

Iglesias²,

Hamham³

et al. 2018

Semicond. Sci. Technol.

View full text Add to dashboard Cite

Silicene is a two-dimensional buckled material with broken horizontal mirror symmetry and Dirac-like dispersion. Under such conditions, flexural acoustic (ZA) phonons play a dominant role. Consequently, it is necessary to consider some suppression mechanism for electron-phonon interactions with long wavelengths in order to reach mobilities useful for electronic applications.In this work, we analyze, by means of an ensemble Monte Carlo simulator, the influence of several possibilities for the description of the effect of ZA phonon damping on electronic transport in silicene. The results show that a hard cutoff situation (total suppression for phonons with a wavelength longer than a critical one), as it has been proposed in the literature, does not yield a realistic picture regarding the electronic distribution function, and it artificially induces a negative differential resistance at moderate and high fields. Sub-parabolic dispersions, on the other hand, may provide a more realistic description in terms of the behavior of the electron distribution in the momentum space, but need extremely short cutoff wavelengths to reach functional mobility and drift velocity values.

show abstract

“…Such an approach could lead to coarse approximations; for example, for a correct simulation of transport behavior of graphene when thermal effects are considered, the out-ofplane Z-phonons have to be included as a distinct population because, although they do not directly interact with electrons, their thermal inertia, particularly for the flexural acoustic ZA phonons, is not negligible [12,13,14,15,16,17]. However, the isotropic approximation, for which the in-plane acoustic and optical phonons are considered as a unique population, is often accepted for simulations (see for example [5,18,19,20,21,22,23,24], and references therein), and an exhaustive analysis of the implications of such a hypothesis is not present, at best of our knowledge, in the literature.…”

Section: Introductionmentioning

confidence: 99%

“…22 we show mean electron energy and velocity obtained with the previous two definitions of local equilibrium temperature but by using constant relaxation times τ µ = 1.5 ps, except for ZA phonons which maintain their already used relaxation time to avoid the introduction of a)…”

mentioning

confidence: 99%

About the Definition of the Local Equilibrium Lattice Temperature in Suspended Monolayer Graphene

Coco

Mascali²,

Romano

2021

Entropy

View full text Add to dashboard Cite

The definition of temperature in non-equilibrium situations is among the most controversial questions in thermodynamics and statistical physics. In this paper, by considering two numerical experiments simulating charge and phonon transport in graphene, two different definitions of local lattice temperature are investigated: one based on the properties of the phonon–phonon collision operator, and the other based on energy Lagrange multipliers. The results indicate that the first one can be interpreted as a measure of how fast the system is trying to approach the local equilibrium, while the second one as the local equilibrium lattice temperature. We also provide the explicit expression of the macroscopic entropy density for the system of phonons, by which we theoretically explain the approach of the system toward equilibrium and characterize the nature of the equilibria, in the spatially homogeneous case.

show abstract

A Monte Carlo Study of electron transport in suspended monolayer graphene

Cited by 11 publications

References 14 publications

Analytical band Monte Carlo analysis of electron transport in silicene

Analytical band Monte Carlo analysis of electron transport in silicene

Damping of acoustic flexural phonons in silicene: influence on high-field electronic transport

About the Definition of the Local Equilibrium Lattice Temperature in Suspended Monolayer Graphene

Contact Info

Product

Resources

About