Department of Physics, Bar Ilan University, Ramat Gan 52900, Israel.
Phys Rev Lett. 2010 Dec 17;105(25):256802. doi: 10.1103/PhysRevLett.105.256802. Epub 2010 Dec 13.
Nonequilibrium bosonization technique is used to study current fluctuations of interacting electrons in a single-channel quantum wire representing a Luttinger liquid (LL) conductor. An exact expression for the time resolved full counting statistics of the transmitted charge is derived. It is given by the Fredholm determinant of the counting operator with a time-dependent scattering phase. The result has a form of counting statistics of noninteracting particles with fractional charges, induced by scattering off the boundaries between the LL wire and the noninteracting leads.
采用非平衡玻色子化技术研究了单通道量子线中相互作用电子的电流涨落，该量子线表示 Luttinger 液体 (LL) 导体。推导出了传输电荷的时间分辨全计数统计的精确表达式。它由与时间相关的散射相位的计数算符的 Fredholm 行列式给出。结果具有由与 LL 线和非相互作用引线之间的边界散射引起的具有分数电荷的非相互作用粒子的计数统计的形式。
