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

Abstract

We 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 $\max (0,2r-1)<s<1$, 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.

14 pages, 14 eps figures

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Cited by in corpus (11)

• Population switching and charge sensing in quantum dots: A case for a quantum phase transition
• Tunable Quantum Phase Transitions in a Resonant Level Coupled to Two Dissipative Baths
• Quantum criticality in the pseudogap Bose-Fermi Anderson and Kondo models: Interplay between fermion- and boson-induced Kondo destruction
• Transport Signatures of Majorana Quantum Criticality Realized by Dissipative Resonant Tunneling
• The Ohmic two-state system from the perspective of the interacting resonant level model: Thermodynamics and transient dynamics
• Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
• Quantum phase transitions in a charge-coupled Bose-Fermi Anderson model
• Critical charge fluctuations in a pseudogap Anderson model
• Rescuing a Quantum Phase Transition with Quantum Noise
• Quantum criticality in Kondo quantum dot coupled to helical edge states of interacting 2D topological insulators
• Nonequilibrium occupation number and charge susceptibility of a resonance level close to a dissipative quantum phase transition