神秘的 4/11 态：非常规分数量子霍尔效应的原型。
Enigmatic 4/11 state: a prototype for unconventional fractional quantum Hall effect.
机构信息
Department of Theoretical Physics, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India.
Department of Physics, 104 Davey Laboratory, Pennsylvania State University, University Park, Pennsylvania 16802, USA.
出版信息
Phys Rev Lett. 2014 Jan 10;112(1):016801. doi: 10.1103/PhysRevLett.112.016801. Epub 2014 Jan 6.
The origin of the fractional quantum Hall effect (FQHE) at 4/11 and 5/13 has remained controversial. We make a compelling case that the FQHE is possible here for fully spin polarized composite fermions, but with an unconventional underlying physics. Thanks to a rather unusual interaction between composite fermions, the FQHE here results from the suppression of pairs with a relative angular momentum of three rather than one, confirming the exotic mechanism proposed by Wójs, Yi, and Quinn [Phys. Rev. B 69, 205322 (2004)]. We predict that the 4/11 state reported a decade ago by Pan et al. [Phys. Rev. Lett. 90, 016801 (2003)] is a conventional partially spin polarized FQHE of composite fermions, and we estimate the Zeeman energy where a phase transition into the unconventional fully spin polarized state will occur.
整数量子霍尔效应（FQHE）在 4/11 和 5/13 处的起源一直存在争议。我们提出了一个令人信服的观点，即在完全极化的复合费米子中，FQHE 是可能的，但具有非常规的潜在物理机制。由于复合费米子之间存在一种相当特殊的相互作用，这里的 FQHE 是由于抑制了相对角动量为三的对，而不是一对，从而证实了 Wójs、Yi 和 Quinn [Phys. Rev. B 69, 205322 (2004)]提出的奇特机制。我们预测，十年前 Pan 等人报告的 4/11 状态[Phys. Rev. Lett. 90, 016801 (2003)]是复合费米子的常规部分极化 FQHE，并且我们估计发生进入非常规完全极化态的相变的塞曼能。
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