TY - JOUR

T1 - Theory of a Two-Dimensional Rotating Wigner Cluster

AU - Mahmoodian, Mahmood M.

AU - Mahmoodian, Mehrdad M.

AU - Entin, M. V.

N1 - Funding Information: This work was supported by the Russian Foundation for Basic Research (project no. 20-02-00622). Publisher Copyright: © 2022, Pleiades Publishing, Inc.

PY - 2022/5

Y1 - 2022/5

N2 - A two-dimensional Wigner cluster (2DWC) with the number of electrons up to 200 in a parabolic potential well has been studied numerically and analytically. It has been shown that the inner part of the 2DWC in the axisymmetric potential well is polycrystalline, whereas electrons in outer layers form pronounced circular shells. The scaling of the cluster under the variation of the stiffness of the potential well has been considered. The threshold of the free rotation of the solid cluster in the axisymmetric potential well has been determined. The action of an alternating magnetic field generated by a coaxial solenoid on the 2DWC has been examined. It has been shown that the initially immobile solid 2DWC subjected to a weak vortex electric field begins to rotate at an angular velocity equal to half the cyclotron frequency. Furthermore, in a stronger vortex field, the cluster not only rotates but also begins to be periodically compressed, holding its structure. A further increase in the vortex field can lead to the total collapse of the cluster accompanied by the destruction of its structure. A sufficiently strong vortex electric field can also result in the differential rotation of the shells of the 2DWC. The rotational friction coefficient caused by ohmic losses in the gate, which can restrict the free rotation of the 2DWC, has been determined.

AB - A two-dimensional Wigner cluster (2DWC) with the number of electrons up to 200 in a parabolic potential well has been studied numerically and analytically. It has been shown that the inner part of the 2DWC in the axisymmetric potential well is polycrystalline, whereas electrons in outer layers form pronounced circular shells. The scaling of the cluster under the variation of the stiffness of the potential well has been considered. The threshold of the free rotation of the solid cluster in the axisymmetric potential well has been determined. The action of an alternating magnetic field generated by a coaxial solenoid on the 2DWC has been examined. It has been shown that the initially immobile solid 2DWC subjected to a weak vortex electric field begins to rotate at an angular velocity equal to half the cyclotron frequency. Furthermore, in a stronger vortex field, the cluster not only rotates but also begins to be periodically compressed, holding its structure. A further increase in the vortex field can lead to the total collapse of the cluster accompanied by the destruction of its structure. A sufficiently strong vortex electric field can also result in the differential rotation of the shells of the 2DWC. The rotational friction coefficient caused by ohmic losses in the gate, which can restrict the free rotation of the 2DWC, has been determined.

UR - http://www.scopus.com/inward/record.url?scp=85135503511&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/70eb4952-a073-3d1c-a65a-a6f863f12669/

U2 - 10.1134/S0021364022100599

DO - 10.1134/S0021364022100599

M3 - Article

AN - SCOPUS:85135503511

VL - 115

SP - 608

EP - 614

JO - JETP Letters

JF - JETP Letters

SN - 0021-3640

IS - 10

ER -