The study of Golds tone modes in ν=2 bilayer quantum Hall systems
The study of Golds tone modes in ν=2 bilayer quantum Hall systems
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ν=2双层量子霍尔系统中Golds音模式的研究
DOI：
10.1140/epjb/e2012-30559-2
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Z. F. Ezawa
中科院分区：
文献类型：
--
作者：
Y. Hama;Y. Hidaka;G. Tsitsishvili;Z. F. Ezawa
在填充因子ν=2时，双层量子霍尔系统有三个相，即自旋-铁磁相、自旋单态相和斜面反铁磁相，这取决于塞曼能和层间隧道能之间的相对强度。我们提出了一种系统的方法来推导这三个相中Goldstone模的有效哈密顿量。然后，我们研究了Goldstone模的色散关系和相干长度。为了探索层间相干性的可能出现，我们分析了零隧穿能量极限下的色散关系。在CaF相中发现了一种具有线性色散关系的无间隙模。
At the filling factorν= 2, the bilayer quantum Hall system has three phases, the spin-ferromagnet phase, the spin singlet phase and the canted antiferromagnet (CAF) phase, depending on the relative strength between the Zeeman energy and interlayer tunneling energy. We present a systematic method to derive the effective Hamiltonian for the Goldstone modes in these three phases. We then investigate the dispersion relations and the coherence lengths of the Goldstone modes. To explore a possible emergence of the interlayer phase coherence, we analyze the dispersion relations in the zero tunneling energy limit. We find one gapless mode with the linear dispersion relation in the CAF phase.