A new loss mechanism in graphene nanoresonators due to the synthetic electric fields caused by inherent out-of-plane membrane corrugations

Firsova, N. E.; Firsov, Yu. A.

doi:10.1088/0022-3727/45/43/435102

Cited by 12 publications

(27 citation statements)

References 42 publications

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“…The interplay of strain and valley physics has been explored previously, [20][21][22] and some consequences of having time-dependent strain in graphene were considered. [23][24][25][26] This paper is organized as follows. In Sec.…”

Section: Topological Insulatorsmentioning

confidence: 99%

Topological electric current from time-dependent elastic deformations in graphene

et al. 2013

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Section: Topological Insulatorsmentioning

confidence: 99%

Topological electric current from time-dependent elastic deformations in graphene

et al. 2013

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“…The case of non-stationary phenomenon theory is obviously still more difficult and is awaiting the attentive investigator. And by constructing such non-stationary theories in graphene we think that the formulae we obtained in [17][18] and in present paper could be useful.…”

Section: Discussionmentioning

confidence: 55%

Radiative decay effects influence the local electromagnetic response of the monolayer graphene with surface corrugations in terahertz range

Firsov

Firsova

2015

Physica E: Low-dimensional Systems and Nanostructures

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We continue the study of surface corrugations influence on the monolayer graphene local electromagnetic response in terahertz range we started earlier. The effects of radiative decay, double-valley structure of charge carriers spectrum in graphene and the breathing surface curvature form induced synthetic electric fields are taken into account. To fulfill this program the generalized nonlinear self-consistent equation is obtained. In case of weak external alternating electric field for the obtained equation in linear approximation on the external electric field the exact solution is found. It shows that in this case we get local dephasing in induced current paths depending on the surface form . This theoretical result qualitatively explains the corresponding experiments with local current patterns in graphene without using fully quantum approach which is necessary for theoretical description of such phenomenon in graphene nanoribbons. Besides the formulae obtained in the present paper could become the basis of the new method of the imaging of surface corrugations form for given picture of local current paths. The obtained results allow to study mechanical behavior of materials at nanoscale deviates from macroscoping established concepts and this is of particular importance for graphene.

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“…Note that the formulae for quantum inductivity and capacitance from [17][18][19] actually were obtained on the basis of different models. So if we used these formulae from [17][18][19] to find eigen frequency according to (9) we would get the value where the conductivity (2) does not have singularity. It means that the results obtained in [17][18][19] do not give possibility to find correctly graphene membrane eigen frequency.…”

Section: From (2) We See That Graphene Membrane Eigen Frequency (Condmentioning

confidence: 99%

“…This surface curvature under external time depending field generates "breathing" metrics which results in certain new effects. These effects proved to be essential and were for the first time analyzed in [9][10][11]. It was shown in [9] that the quality factor of the graphene nanoresonator considerably depends on graphene membrane metrics generating new loss mechanism based on the so called synthetic electric fields.…”

mentioning

confidence: 99%

On corrected formula for irradiated graphene quantum conductivity

Firsova

2017

Photonics and Nanostructures - Fundamentals and Applications

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Graphene membrane irradiated by weak activating periodic electric field in terahertz range is considered. The corrected formula for the graphene quantum conductivity is found. The obtained formula gives complex conjugate results when radiation polarization direction is clockwise or it is opposite clockwise. The found formula allows us to see that the graphene membrane is an oscillating contour. Its eigen frequency coincides with a singularity point of the conductivity and depends on the electrons concentration. So the graphene membrane could be used as an antenna or a transistor and its eigen frequency could be tuned by doping in a large terahertz-infrared frequency range. The obtained formula allows us also to calculate the graphene membrane quantum inductivity and capacitance. The found dependence on electrons concentration is consistent with experiments. The method of the proof is based on study of the time-dependent density matrix. The exact solution of von Neumann equation for density matrix is found for our case in linear approximation on the external field. On this basis the induced current is studied and then the formula for quantum conductivity as a function of external field frequency and temperature is obtained. The method of the proof suggested in this paper could be used to study other problems. The found formula for quantum conductivity can be used to correct the SPPs Dispersion Relation and for the description of radiation process. It would be useful to take the obtained results into account when constructing devices containing graphene membrane nanoantenna. Such project could make it possible to create wireless communications among nanosystems. This would be promising research area of energy harvesting applications.PACS 73.22.Pr, 74.25.N-1.Introduction. -After the graphene discovery [1-2] there appeared many interesting results which were studied in the framework of 2D (flatland) model (see for instance review [3]). However it was shown 70 years ago by Peierls [4][5] and Landau [6] that strictly speaking 2D crystal cannot exist since thermal fluctuations should destroy its long range order by thermal fluctuations. After a while it was found that actually the monolayer graphene surface was always strongly corrugated [7]. In [8] it was shown that the in-plane and out-of-plane deformations mutual interaction save membrane from being crumpled. This surface curvature under external time depending field generates "breathing" metrics which results in certain new effects. These effects proved to be essential and were for the first time analyzed in [9][10][11]. It was shown in [9] that the quality factor of the graphene nanoresonator considerably depends on graphene membrane metrics generating new loss mechanism based on the so called synthetic electric fields. These fields arise due to the "breathing" graphene membrane metrics activated by the external periodic electric field. In [10-11] graphene electromagnetic response was studied in terahertz range. It was shown that the induced currents

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A new loss mechanism in graphene nanoresonators due to the synthetic electric fields caused by inherent out-of-plane membrane corrugations

Cited by 12 publications

References 42 publications

Topological electric current from time-dependent elastic deformations in graphene

Topological electric current from time-dependent elastic deformations in graphene

Radiative decay effects influence the local electromagnetic response of the monolayer graphene with surface corrugations in terahertz range

On corrected formula for irradiated graphene quantum conductivity

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