论文标题
指数为小量子校正电导率
Exponentially small quantum correction to conductance
论文作者
论文摘要
当打破时反转对称性时，通过混乱的腔体的平均电导率，从$ n_1 $打开频道的入口引线到带有$ n_2 $打开频道的退出引线，由$ n_1n_2/m $，$ n_1n_2/m $，其中$ m = n_1+n_2 $。我们表明，当将反射率$γ$放在潜在客户上时，平均电导率出现了两个校正项，其中一个与$γ^{m} $成正比。由于$ m \ sim \ hbar^{ - 1} $，因此在半经典限制下，此校正成倍小。令人惊讶的是，我们从半经典的近似中得出了这个术语，通常预计仅给出$ \ hbar $的投放订单。即使该理论都以$γ$和1 $ 1/m $的速度为扰动，但最终结果是准确的。
When time-reversal symmetry is broken, the average conductance through a chaotic cavity, from an entrance lead with $N_1$ open channels to an exit lead with $N_2$ open channels, is given by $N_1N_2/M$, where $M=N_1+N_2$. We show that, when tunnel barriers of reflectivity $γ$ are placed on the leads, two correction terms appear in the average conductance, and that one of them is proportional to $γ^{M}$. Since $M\sim \hbar^{-1}$, this correction is exponentially small in the semiclassical limit. Surprisingly, we derive this term from a semiclassical approximation, generally expected to give only leading orders in powers of $\hbar$. Even though the theory is built perturbatively both in $γ$ and in $1/M$, the final result is exact.
