Hartree-Fock theory of skyrmions in quantum Hall ferromagnets

Hartree-Fock theory of skyrmions in quantum Hall ferromagnets
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DOI:
10.1103/physrevb.55.10671
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发表时间:
1997-04-15
期刊:
影响因子:
3.7
通讯作者:
Sondhi, SL
Sondhi, SL
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Fertig, HA;Brey, L;Sondhi, SL

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我们报告了一项关于在奇数朗道能级填充因子附近的量子霍尔铁磁体中发生的带电斯凯明子或自旋纹理激发的研究。粒子-空穴对称性用于关联带电粒子和空穴激发以及中性粒子-空穴对激发的自旋量子数。 Hartree-Fock 理论用于对这些激发的能量及其对塞曼耦合强度、朗道能级量子数和二维电子层厚度的依赖性进行定量估计。对于 v 接近 3 的情况,我们建议随着塞曼耦合强度的增加,从多斯格明子态到具有许多最大自旋极化准粒子的一阶相变的可能性。
We report on a study of the charged-Skymion or spin-texture excitations which occur in quantum Hall ferromagnets near odd Landau-level filling factors. Particle-hole symmetry is used to relate the spin-quantum numbers of charged particle and hole excitations and neutral particle-hole pair excitations. Hartree-Fock theory is used to provide quantitative estimates of the energies of these excitations and their dependence on Zeeman coupling strength, Landau-level quantum numbers, and the thicknesses of the two-dimensional electron layers. For the case of v near three we suggest the possibility of first-order phase transitions with increasing Zeeman coupling strength from a many-Skyrmion state to one with many maximally spin-polarized quasiparticles.