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Tunneling and Quantum Noise in 1-D Luttinger Liquids | | C. de C. Chamon
; D. E. Freed
; X. G. Wen
; | | Date: |
21 Aug 1994 | | Subject: | cond-mat | | Abstract: | We study non-equilibrium noise in the transmission current through barriers in 1-D Luttinger liquids and in the tunneling current between edges of fractional quantum Hall liquids. The distribution of tunneling events through narrow barriers can be described by a Coulomb gas lying in the time axis along a Keldysh (or non-equilibrium) contour. The charges tend to reorganize as a dipole gas, which we use to describe the tunneling statistics. Intra-dipole correlations contribute to the high-frequency ``Josephson’’ noise, which has an algebraic singularity at $omega=e^*V/hbar$, whereas inter-dipole correlations are responsible for the low-frequency noise. Inter-dipole interactions give a $1/t^2$ correlation between the tunneling events that results in a $|omega|$ singularity in the noise spectrum. We present a diagrammatic technique to calculate the correlations in perturbation theory, and show that contributions from terms of order higher than the dipole-dipole interaction should only affect the strength of the $|omega|$ singularity, but its form should remain $sim |omega|$ to all orders in perturbation theory. | | Source: | arXiv, cond-mat/9408064 | | Services: | Forum | Review | PDF | Favorites | |
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