Quantum-mechanical analysis of atom lithography

Lee, Chang Jae

doi:10.1103/physreva.61.063604

Cited by 31 publications

(15 citation statements)

References 26 publications

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“…Coulomb field by a relativistic particle noninteracting with this field [27,28]. Therefore, the Coulomb corrections coming from the third region are given by the momentum transfer ∆ 0 ∼ m. Using the language of exchanges by the Coulomb quanta with the nucleus, we can say that the contributions to the Coulomb corrections of the first and second regions in (30) correspond to the case when all particles interact with the Coulomb center.…”

Section: It Corresponds To the Coulomb Corrections To The Cross Sectimentioning

confidence: 99%

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High-energy electroproduction in an atomic field

Krachkov

Milstein

2019

Phys.-Usp.

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The differential cross section of high-energy electroproduction in the electric field of heavy atoms is derived. The result is obtained with the exact account of the atomic field by means of the quasiclassical approximation to the wave functions in the external field. The Coulomb corrections substantially modify the differential cross section compared with the Born result. They lead to the azimuth asymmetry in the differential cross section for the polarized incoming electron. The Coulomb corrections to the total cross section are obtained in the leading logarithmic approximation. PACS numbers: 12.20.Ds,

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Section: It Corresponds To the Coulomb Corrections To The Cross Sectimentioning

confidence: 99%

“…In this case, to derive the Coulomb corrections to the total cross section from Eqs. (31) and (32), it is necessary to use the relation [23,28]…”

Section: It Corresponds To the Coulomb Corrections To The Cross Sectimentioning

confidence: 99%

High-energy electroproduction in an atomic field

Krachkov

Milstein

2019

Phys.-Usp.

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“…For the latter case, the cross sections were obtained within another approach, see Refs. [5,6] and reviews [7,8]. In that approach, the cross sections were obtained for a fixed impact parameter ρ of a heavy particle with respect to the atomic center.…”

Section: Introductionmentioning

confidence: 99%

Coulomb effects in high-energy e+e− electroproduction by a heavy charged particles in an atomic field

Krachkov

Milstein

2017

Physics Letters B

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The cross section of high-energy e + e − pair production by a heavy charged particle in the atomic field is investigated in detail. We take into account the interaction with the atomic field of e + e − pair and a heavy particle as well. The calculation is performed exactly in the parameters of the atomic field. It is shown that, in contrast to the commonly accepted point of view, the cross section differential with respect to the final momentum of a heavy particle is strongly affected by the interaction of a heavy particle with the atomic field. However, the cross section integrated over the final momentum of a heavy particle is independent of this interaction.

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“…The interaction time is 3w 0 /v z which is about 60 ns while the free fly time is about 30 ns. The life time of the excited state is about 200 ns [31]. Therefore it is safe to neglect the decay of the atom in the simulation.…”

Section: Numerical Resultsmentioning

confidence: 99%

Coherent atom lithography with nanometer resolution

2013

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The resolution of optical lithography and the spacing of atom lithography are limited by about half of the wavelength due to the Rayleigh limit. Here we propose a coherent atom lithography experiment which can print nanometer structures. In this proposal, we show that subwavelength spatial distribution of the atoms in the excited state can be achieved by inducing spatially modulated Rabi oscillations in two-level atoms. We use the internal energy of the atoms to excite the photoresist and it can then print the subwavelength structure into the photoresist. For the peak Rabi frequency of about 2 GHz and the recoil limited collimation, we show that sub-10-nm spacing in both one-and two-dimensional space is possible.

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Quantum-mechanical analysis of atom lithography

Cited by 31 publications

References 26 publications

High-energy electroproduction in an atomic field

High-energy electroproduction in an atomic field

Coulomb effects in high-energy e+e− electroproduction by a heavy charged particles in an atomic field

Coherent atom lithography with nanometer resolution

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