Fermi-Edge Singularity in Tunnel Junctions. Jin Zhang , Y. Sherkunov, N. d’Ambrumenil, B. Muzykantskii University of Warwick, U.K. APS March Meeting, Portland, 17 th , March, 2010. Fermi-Edge Singularity. Sudden change of potential felt by the Fermi sea: . X-Ray Absorption:.
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Fermi-Edge Singularityin Tunnel Junctions Jin Zhang, Y. Sherkunov, N. d’Ambrumenil, B. Muzykantskii University of Warwick, U.K. APS March Meeting, Portland, 17th, March, 2010
Fermi-Edge Singularity Sudden change of potential felt by the Fermi sea: X-Ray Absorption: Spectrum decomposition: Orthogonality Catastrophe in quantum point contact: At zero temperature in single lead P. W. Anderson, PRL18, 1049 (1967)
Scattering Matrix Approach Characterize by But how to connect the Hamiltonians? ? Example: Choose with : Keeling Klich Levitov, PRL97, 116403 (2006)
Map onto Full Counting Statistics Fermi-Edge Singularity: Full Counting Statistics: Let , with
Example: Constant Phase Shift (I) FES FCS T=1/2 T=1 How to connect and How to represent the delta function e.g. Choose Lorentzian Pulses: with
Example: Constant Phase Shift (II) 2 When , we have two independent Lorentzian Pulses: JZ YS NdA BM, PRB80, 245308 (2009)
Conclusion How to connect the two Hamiltonian matters Map FES problem onto FCS Thank You
The Effect of Opening & Closing Turn on the scattering as Outcome of the wave function: Optimal Electronic Entangler YS JZ NdA BM, PRB 80, 041313 (R) (2009)
Fermi-edge Singularity in 2DEG Absorption Spectrum: D. Cobden, BM, PRL75, 4274 (1995)