EXCITATIONS FROM A FILLED LANDAU-LEVEL IN THE TWO-DIMENSIONAL ELECTRON-GAS
EXCITATIONS FROM A FILLED LANDAU-LEVEL IN THE TWO-DIMENSIONAL ELECTRON-GAS
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DOI：
10.1103/physrevb.30.5655
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发表时间：
1984-01-01
影响因子：
3.7
通讯作者：
HALPERIN, BI
中科院分区：
文献类型：
--
作者：
KALLIN, C;HALPERIN, BI
本文考虑零温强垂直磁场中具有均匀正背景的相互作用二维电子系统，其中朗道能级为整数，库仑能e2 ε l0小于回旋能ε ω c.基本中性激发也可以被描述为磁等离子体模式，或者磁激子-即一个空穴在填充的朗道能级和一个电子在空能级的束缚态-它们的特征是守恒波矢量k→。对于最低的磁等离子体激元带，在k= 0处进入回旋频率，色散关系可以精确地计算到（e2 ε l0）<$ω c的一阶。计算了朗道能级一个自旋态被完全占据时的自旋波色散关系，定性讨论了分数量子化霍尔效应条件下部分填充朗道能级的激子谱.
We consider an interacting two-dimensional electron system, with a uniform positive background, in a strong perpendicular magnetic field at zero temperature, under conditions where an integral number of Landau levels are filled and the Coulomb energy e 2 ε l 0 is smaller than the cyclotron energy ℏ ω c. The elementary neutral excitations may be described alternatively as magnetoplasma modes, or as magnetic excitons—ie, a bound state of a hole in a filled Landau level and one electron in an otherwise empty level—and they are characterized by a conserved wave vector k→. The dispersion relations may be calculated exactly, to first order in (e 2 ε l 0) ℏ ω c, for the lowest magnetoplasmon band, which comes in to the cyclotron frequency at k= 0. We also calculate the spin-wave dispersion relations for the case where one spin state of a Landau level is completely occupied, and we discuss qualitatively the exciton spectrum for a partially filled Landau level, under the conditions of the fractional quantized Hall effect.