E. Barkai et al., BIDIRECTIONAL SHOT-NOISE IN A SINGLY OCCUPIED CHANNEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(2), 1996, pp. 1161-1175
We calculate the power spectrum of the noisy current in a narrow chann
el that admits one charge carrier at a time from the left L or right R
reservoirs. The random positive and negative currents are produced by
the random arrival and departure of discrete charges ata measuring de
vice on one side. The unidirectional currents are: not independent bec
ause the presence of one charge in the channel blocks the entrance of
another. Four classes of trajectories are possible: the trans trajecto
ries LR and RL and cis trajectories LL and RR. The power spectrum of t
he total current is described by explicit formulas, depending only on
the statistics of the interarrival times and times spent in the channe
l. These formulas generalize those of shot (e.g., Schottky) noise and
predict more complex behavior than the sum of the noises of the four t
ypes of trajectories, if they were independent: (i) the mean current a
nd the intensity of fluctuations saturate as the arrival time on one s
ide decreases and (ii) the noise intensity depends nonlinearly on the
mean net current. Explicit formulas are given and special cases are an
alyzed.