Ponomarenko Vadim V, Averin Dmitri V
International Center for Condensed Matter Physics, Universidade de Brasilia, 70904-970 Brasilia, Brazil.
Phys Rev Lett. 2007 Aug 10;99(6):066803. doi: 10.1103/PhysRevLett.99.066803.
We consider tunneling between two edges of quantum Hall liquids of filling factors nu(0,1)=1/(2m(0,1)+1), with m(0)>or=m(1)>or=0, through two-point contacts forming a Mach-Zehnder interferometer. A quasiparticle description of the interferometer is derived explicitly through the instanton duality transformation. For m(0)+m(1)+1 identical withm>1, tunneling of quasiparticles of charge e/m leads to nontrivial m-state dynamics of effective flux through the interferometer, which restores the regular "electron" periodicity of the current in flux. The exact solution available for equal propagation times between the contacts shows that the interference pattern depends on voltage and temperature only through a common amplitude.
我们考虑通过形成马赫 - 曾德尔干涉仪的两点接触，在填充因子为(\nu(0,1)=\frac{1}{2m(0,1)+1})（其中(m(0)\geq m(1)\geq0)）的量子霍尔液体的两条边缘之间的隧穿。通过瞬子对偶变换明确地推导出了干涉仪的准粒子描述。对于(m(0)+m(1)+1=m\gt1)，电荷为(e/m)的准粒子隧穿导致通过干涉仪的有效磁通的非平凡(m)态动力学，这恢复了磁通中电流的规则“电子”周期性。触点之间传播时间相等时的精确解表明，干涉图样仅通过一个共同的幅度依赖于电压和温度。
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