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Resonant Multi-Lead Point-Contact Tunneling | | C. Nayak
; Matthew P.A. Fisher
; A.W.W. Ludwig
; H.-H. Lin
; | | Date: |
29 Oct 1997 | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | Affiliation: | ITP), Matthew P.A. Fisher (ITP), A.W.W. Ludwig (ITP,UCSB), H.-H. Lin (UCSB | | Abstract: | We analyze a model of resonant point-contact tunneling between multiple Luttinger liquid leads. The model is a variant of the multi-channel Kondo model and can be related to the quantum Brownian motion of a particle on lattices with $pi$-flux through each plaquette (in the 3-lead case, it is a honeycomb lattice with $pi$-flux). By comparing the perturbative and instanton gas expansions, we find a duality property of the model. At the boundary, this duality exchanges Neumann and Dirichlet boundary conditions on the Tomonaga-Luttinger bosons which describe the leads; in the bulk, it exchanges the `momentum’ and `winding’ modes of these bosons. Over a certain range of Luttinger liquid parameter, $g$, a novel non-trivial intermediate coupling fixed point controls the low-energy physics. The finite conductance at this fixed point can be exactly computed for two special values of $g$. For larger values of $g$, there is a stable fixed point at strong coupling which has enhanced conductance resulting from an analogue of Andreev reflection at the point contact. | | Source: | arXiv, cond-mat/9710305 | | Services: | Forum | Review | PDF | Favorites | |
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