Duality between normal and superconducting junctions of multiple quantum wires
| dc.creator | Das, Sourin | |
| dc.creator | Rao, Sumathi | |
| dc.date | 2008-07-06 | |
| dc.date | 2008-10-15 | |
| dc.date.accessioned | 2026-07-07T12:50:43Z | |
| dc.date.available | 2026-07-07T12:50:43Z | |
| dc.description | We study junctions of single-channel spinless Luttinger liquids using bosonisation. We generalize earlier studies by allowing the junction to be superconducting and find new charge non-conserving low energy fixed points. We establish the existence of $g \leftrightarrow 1/g$ duality (where $g$ is the Luttinger Liquid parameter) between the charge conserving (normal) junction and the charge non-conserving (superconducting) junction by evaluating and comparing the scaling dimensions of various operators around the fixed points in normal and superconducting sectors of the theory. For the most general two-wire junction, we show that there are two conformally invariant one-parameter families of fixed points which are also connected by a duality transformation. We also show that the stable fixed point for the two-wire superconducting junction corresponds to the situation where the crossed Andreev reflection is perfect between the wires. For the three-wire junction, we study, in particular, the superconducting analogs of the chiral, $D_P$ and the disconnected fixed points obtained earlier in the literature in the context of charge conserving three-wire junctions. We show that these fixed points can be stabilized for $g < 1$ (repulsive electrons) within the superconducting sector of the theory which makes them experimentally relevant. | |
| dc.description | Figures added. Final version to appear in Phys. Rev. B | |
| dc.identifier | https://arxiv.org/abs/0807.0804 | |
| dc.identifier | http://arxiv.org/abs/0807.0804 | |
| dc.identifier | Phys. Rev. B 78, 205421 (2008) | |
| dc.identifier | doi:10.1103/PhysRevB.78.205421 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222769 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Duality between normal and superconducting junctions of multiple quantum wires | |
| dc.type | text |