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 \( \gg \) 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)\({{\mathcal{L}}_{V}}\), where F(r) depends only on distance and \({{\mathcal{L}}_{V}}\) 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.
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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).
A. I. Mil’shtein and V. M. Strakhovenko, Sov. Phys. JETP 57, 722 (1983).
Ya. B. Zel’dovich and V. S. Popov, Sov. Phys. Usp. 14, 673 (1972).
D. P. di Vincenzo 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, Phys. E (Amsterdam, Neth.) 106, 298 (2019).
K. A. Sveshnikov, Yu. S. Voronina, A. S. Davydov, and P. A. Grashin, Theor. Math. Phys. 199, 533 (2019).
R. N. Lee and A. I. Milstein, Phys. Lett. A 189, 72 (1994).
A. I. Akhiezer and V. B. Berestetskii, Quantum Electrodynamics (Nauka, Moscow, 1981; Wiley, New York, 1965)
Ya. V. Zel’dovich and V. S. Popov, Sov. Phys. Usp. 14, 673 (1972).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series and Products (Fizmatgiz, Moscow, 1963; Academic, New York, 1980).
V. M. Pereira, V. N. Kotov, and A. H. Castro Neto, Phys. Rev. B 78, 085101 (2008).
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Terekhov, I.S. Induced Charge Generated by Potential Well in Transition Metal Dichalcogenides. J. Exp. Theor. Phys. 136, 751–759 (2023). https://doi.org/10.1134/S1063776123060146
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DOI: https://doi.org/10.1134/S1063776123060146