{ "id": "cond-mat/0403129", "version": "v1", "published": "2004-03-03T17:23:14.000Z", "updated": "2004-03-03T17:23:14.000Z", "title": "Anti-Resonance and the 0.7 Anomaly in Conductance through a Quantum Point Contact", "authors": [ "Ye Xiong", "X. C. Xie", "Shi-jie Xiong" ], "comment": "4 pages, 3 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "We investigate the transmission of electrons through a quantum point contact by using a quasi-one-dimensional model with a local bound state below the band bottom. While the complete transmission in lower channels gives rise to plateaus of conductance at multiples of $2e^{2}/h$, the electrons in the lowest channel are scattered by the local bound state when it is singly occupied. This scattering produces a wide zero-transmittance (anti-resonance) for a singlet formed by tunneling and local electrons, and has no effect on triplets, leading to an exact $0.75(2e^{2}/h)$ shoulder prior to the first $2e^{2}/h$ plateau. Formation of a Kondo singlet from electrons in the Fermi sea screens the local moment and reduces the effects of anti-resonance, complementing the shoulder from 0.75 to 1 at low temperatures.", "revisions": [ { "version": "v1", "updated": "2004-03-03T17:23:14.000Z" } ], "analyses": { "keywords": [ "quantum point contact", "anti-resonance", "local bound state", "conductance", "fermi sea screens" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004cond.mat..3129X" } } }