Email this article 
Induced Charge Generated by Potential Well in Transition Metal Dichalcogenides
- Authors: Terekhov I.S1
-
Affiliations:
- Budker Institute of Nuclear Physics
- Issue: Vol 163, No 6 (2023)
- Pages: 842-851
- Section: Articles
- URL: https://journals.rcsi.science/0044-4510/article/view/145422
- DOI: https://doi.org/10.31857/S004445102306010X
- EDN: https://elibrary.ru/DGECBC
- ID: 145422
Cite item
Open Access
Access granted
Subscription Access
Abstract
We investigate the asymptotic behavior of the charge density ρind(r) induced by an azimuthally symmetric potential well of finite radius R. The analytic expression for ρind(r) at the distances r ≫≫ R is obtained. It is shown that, for a wide range of potential parameters, the induced charge density can be represented as ρind(r) = F(r)LV, where F(r) depends only on distance and LV depends on the parameters of the potential. We also investigate the behavior of the induced charge density when the potential well depth close to the critical value.
About the authors
I. S Terekhov
Budker Institute of Nuclear Physics
Author for correspondence.
Email: iterekhov@yandex.ru
630090, Novosibirsk, Russia
References
- E.H. Wichmann and N.M. Kroll, Phys.Rev. 101, 843 (1956).
- L. S. Brown, R.N. Cahn, and L.D. McLerran, Phys.Rev.D 12, 581 (1975).
- А.И. Мильштейн, В.М. Страховенко, ЖЭТФ 84, 1247 (1983) [Sov.Phys. JETP 57, 722 (1983)].
- Я.Б. Зельдович, В.С. Попов, УФН 105, 403 (1971) [Sov.Phys.Usp. 14, 673 (1972)].
- D.P. DiVincenzo and E. J. Mele, Phys.Rev.B 29, 1685 (1984).
- K. Nomura and A.H. MacDonald, Phys.Rev. Lett. 98, 076602 (2007).
- T. Ando, J.Phys. Soc. Jpn 75, 074716 (2006).
- E.H. Hwang, S. Adam, and S. Das Sarma, Phys. Rev. Lett. 98, 186806 (2007).
- M. I. Katsnelson, Phys.Rev.B 74, 201401(R) (2006).
- A.V. Shytov, M. I. Katsnelson, and L. S. Levitov, Phys.Rev. Lett. 99, 236801 (2007).
- V.M. Pereira, J. Nilsson, and A.H. Castro Neto, Phys.Rev. Lett. 99, 166802 (2007).
- R.R. Biswas, S. Sachdev, and D.T. Son, Phys. Rev.B 76 205122 (2007)
- M.M. Fogler, D. S. Novikov, and B. I. Shklovskii, Phys.Rev.B 76, 233402 (2007)
- I. S. Terekhov, A. I. Milstein, V. N. Kotov, and O. P. Sushkov, Phys.Rev. Lett. 100, 076803 (2008).
- V.N. Kotov, B. Uchoa, V.M. Pereira, F. Guinea, and A.H. Castro Neto, Rev.Mod.Phys. 84, 1067 (2012).
- V.M. Pereira, V.N. Kotov, and A.H. Castro Neto, Phys.Rev.B 78, 035119 (2008)
- A. I. Milstein and I. S. Terekhov, Phys.Rev.B 81, 125419 (2010).
- D. Xiao, G.-B. Liu, W. Feng, X. Xu, and W. Yao, Phys.Rev. Lett. 108, 196802 (2012).
- Yu. Voronina, K. Sveshnikov, P. Grashin, and A. Davydov, Physica E 106, 298 (2019).
- К.А. Свешников, Ю.С. Воронина, А.С. Давыдов, П.А. Грашин, ТМФ 199, 69 (2019).
- R.N. Lee and A. I. Milstein, Phys. Lett.A 189, 72 (1994).
- А.И. Ахиейзер, В.Б. Берестецкий, Квантовая электродинамика, Наука, Москва (1981).
- Я.В. Зельдович, В.С. Попов, УФН 150 (3), 403 (1971).
- И.С. Градштейн, И.М. Рыжик, Таблицы интегралов сумм рядов и произведений, Физматгиз, Москва (1963).
- V.M. Pereira, V.N. Kotov, and A.H. Castro Neto, Phys.Rev.B 78, 085101 (2008).
Supplementary files
