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Article overview
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Transport of interacting electrons through a potential barrier: nonperturbative RG approach | D.N. Aristov
; P. Woelfle
; | Date: |
11 Sep 2007 | Abstract: | We calculate the linear response conductance of electrons in a Luttinger
liquid with arbitrary interaction g_2, and subject to a potential barrier of
arbitrary strength, as a function of temperature. Our result agrees with known
limiting cases. We first map the Hamiltonian in the basis of scattering states
into an effective low energy Hamiltonian in current algebra form. Analyzing the
perturbation theory in the fermionic representation the diagrams contributing
to the renormalization group (RG) Beta-function are identified and summed to
all orders in g_2. The RG-equation for the temperature dependent conductance is
solved analytically. | Source: | arXiv, 0709.1562 | Services: | Forum | Review | PDF | Favorites |
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