1. Fermi-Edge Singularity in Tunnel Junctions
Jin Zhang, Y. Sherkunov, N. d’Ambrumenil, B. Muzykantskii
University of Warwick, U.K.
APS March Meeting, Portland, 17th, March, 2010

2. Fermi-Edge Singularity
Sudden change of potential
felt by the Fermi sea:
X-Ray Absorption:
Spectrum decomposition:
Orthogonality Catastrophe
in quantum point contact:
2m30s
At zero temperature in single lead
P. W. Anderson, PRL18, 1049 (1967)

3. Scattering Matrix Approach
Characterize by
But how to connect the Hamiltonians?
Example: ? 2m
Choose
with :
Keeling Klich Levitov, PRL97, (2006)

4. Map onto Full Counting Statistics
Fermi-Edge Singularity:
Full Counting Statistics: 1m
Let
, with

5. Example: Constant Phase Shift (I)
FES
FCS
T=1
T=1/2
1m30
How to connect and
How to represent the delta function
with
e.g. Choose Lorentzian Pulses:

6. Example: Constant Phase Shift (II)2
When , we have two
independent Lorentzian Pulses:
2m30s
JZ YS NdA BM, PRB80, (2009)

7. Conclusion Thank You How to connect the two Hamiltonian matters
Map FES problem onto FCS
Thank You
30s

8. The Effect of Opening & Closing
Turn on the scattering as
Outcome of the wave function:
Example for the simplest case
Optimal Electronic
Entangler
YS JZ NdA BM, PRB 80, (R) (2009)

9. Fermi-edge Singularity in 2DEG
Absorption Spectrum:
Introduce faraday flux, Integer modulo of 2pi
D. Cobden, BM, PRL75, 4274 (1995)