Fendley Paul, Fisher Matthew P A, Nayak Chetan
Department of Physics, University of Virginia, Charlottesville, Virginia 22904-4714, USA.
Phys Rev Lett. 2006 Jul 21;97(3):036801. doi: 10.1103/PhysRevLett.97.036801. Epub 2006 Jul 17.
We analyze the tunneling of non-Abelian quasiparticles between the edges of a quantum Hall droplet at the Landau level filling fraction nu=5/2, assuming that the electrons in the first excited Landau level organize themselves in the non-Abelian Moore-Read Pfaffian state. By bosonizing the edge theory, we show that an effective spin-1/2 degree of freedom emerges in the description of a point contact. We show how the crossover from the high-temperature regime of weak quasiparticle tunneling between the edges of the droplet, with the 4-terminal Rxx approximately T(-3/2), to the low-temperature limit, with Rxx(-1/10)(h/e2) approximately-T4, is closely related to the two-channel Kondo effect. We give a physical interpretation for the entropy loss of ln(2[square root of 2) in this crossover.
我们分析了在朗道能级填充因子ν = 5/2时，非阿贝尔准粒子在量子霍尔液滴边缘之间的隧穿，假设第一激发朗道能级中的电子形成非阿贝尔摩尔 - 里德Pfaffian态。通过对边缘理论进行玻色化，我们表明在点接触的描述中会出现一个有效的自旋 - 1/2自由度。我们展示了从液滴边缘之间弱准粒子隧穿的高温 regime（其中四端电阻Rxx近似为T^(-3/2)）到低温极限（其中Rxx ~ (-1/10)(h/e²) ~ -T^4）的转变如何与双通道近藤效应密切相关。我们对这种转变中ln(2√2)的熵损失给出了物理解释。
