Quantum phase transitions in a resonant-level model with dissipation: Renormalization-group studies

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dc.creatorChung, Chung-Hou
dc.creatorGlossop, Matthew T.
dc.creatorFritz, Lars
dc.creatorKirćan, Marijana
dc.creatorIngersent, Kevin
dc.creatorVojta, Matthias
dc.date2007-06-14
dc.date.accessioned2026-07-07T08:54:43Z
dc.date.available2026-07-07T08:54:43Z
dc.descriptionWe study a spinless level that hybridizes with a fermionic band and is also coupled via its charge to a dissipative bosonic bath. We consider the general case of a power-law hybridization function $Γ(\w)\propto |\w|^r$ with $r\ge 0$, and a bosonic bath spectral function $B(\w)\propto \w^s$ with $s\ge -1$. For $r<1$ and $\mathrm{max}(0,2r-1)<s<1$, this Bose-Fermi quantum impurity model features a continuous zero-temperature transition between a delocalized phase, with tunneling between the impurity level and the band, and a localized phase, in which dissipation suppresses tunneling in the low-energy limit. The phase diagram and the critical behavior of the model are elucidated using perturbative and numerical renormalization-group techniques, between which there is excellent agreement in the appropriate regimes. For $r=0$ this model's critical properties coincide with those of the spin-boson and Ising Bose-Fermi Kondo models, as expected from bosonization.
dc.description14 pages, 14 eps figures
dc.identifierhttps://arxiv.org/abs/0706.2085
dc.identifierhttp://arxiv.org/abs/0706.2085
dc.identifierPhys. Rev. B 76, 235103 (2007)
dc.identifierdoi:10.1103/PhysRevB.76.235103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146036
dc.subjectStrongly Correlated Electrons
dc.subjectMesoscale and Nanoscale Physics
dc.titleQuantum phase transitions in a resonant-level model with dissipation: Renormalization-group studies
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