Bulk and edge excitations of a ν = 1 Hall ferromagnet
Bulk and edge excitations of a ν = 1 Hall ferromagnet
复制标题
ν = 1 霍尔铁磁体的体激励和边缘激励
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
B. Sakita
中科院分区：
文献类型：
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作者：
R. Ray;B. Sakita
我们专注于费米子在v= 1量子霍尔液滴的集体动力学。具体来说，我们看量子霍尔铁磁体。在这个系统中，由于库仑相互作用的交换部分和泡利不相容原理，电子自旋在基态是有序的。低能激发是铁磁振子。为了得到这些磁振子的有效拉格朗日量，我们在多费米子系统的希尔伯特空间中引入玻色集体坐标。这些集体坐标描述了费米子希尔伯特空间的一部分。利用这种技术，我们解释了玻色子集体激发的多电子霍尔系统的希尔伯特空间中的磁振子。此外，通过考虑有限范围的霍尔液滴，我们还得到了控制样品边缘自旋集体激发的有效拉格朗日量。
We focus on the collective dynamics of the fermions in a v= 1 quantum-Hall droplet. Specifically, we look at the quantum Hall ferromagnet. In this system, the electron spins are ordered in the ground state due to the exchange part of the Coulomb interaction and the Pauli exclusion principle. The low-energy excitations are ferromagnetic magnons. In order to obtain an effective Lagrangian for these magnons, we introduce bosonic collective coordinates in the Hilbert space of many-fermion systems. These collective coordinates describe a part of the fermionic Hilbert space. Using this technique, we interpret the magnons as bosonic collective excitations in the Hilbert space of the many-electron Hall system. Furthermore, by considering a Hall droplet of finite extent, we also obtain the effective Lagrangian governing the spin collective excitations at the edge of the sample.