Asymptotically exact dispersion relations for collective modes in a confined charged Fermi liquid

被引:2
作者
Tokatly, IV [1 ]
Pankratov, O [1 ]
机构
[1] Univ Erlangen Nurnberg, Lerhrstuhl Theoret Festkorperphys, D-91058 Erlangen, Germany
来源
PHYSICAL REVIEW B | 2002年 / 66卷 / 15期
关键词
D O I
10.1103/PhysRevB.66.153103
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Using general local conservation laws we derive dispersion relations for edge modes in a slab of electron liquid confined by a symmetric potential. The dispersion relations are exact up to lambda(2)q(2), where q is a wave vector and lambda is an effective screening length. For a harmonic external potential the dispersion relations are expressed in terms of the exact static pressure and dynamic shear modulus of a homogeneous liquid with the density taken at the slab core. We also derive a simple expression for the frequency shift of the dipole (Kohn) modes in nearly parabolic quantum dots in a magnetic field.
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页码:1 / 4
页数:4
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