Quantum criticality and formation of a singular Fermi liquid in the attractive SU(N > 2) Anderson model
arXiv:1904.08125 · doi:10.1103/PhysRevLett.123.136803
Abstract
While much is known about repulsive quantum impurity models, significantly less attention has been devoted to their attractive counterparts. This motivated us to study the attractive SU(N) Anderson impurity model. While for the repulsive case, the phase diagram features mild N dependence and the ground state is always a Fermi liquid, in the attractive case a Kosterlitz-Thouless charge localization phase transition is revealed for N > 2. Beyond a critical value of attractive interaction an abrupt jump appears in the number of particles at the impurity site, and a singular Fermi liquid state emerges, where the scattering of quasiparticles is found to exhibit power law behavior with fractional power. The capacity diverges exponentially at the quantum critical point, signaling the Kosterlitz-Thouless transition.
5 pages, 4 figures, includes Supplemental Information
References in corpus (20)
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Fermi-liquid instabilities at magnetic quantum phase transitions
- Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
- Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions
- Three-body recombination in a three-state Fermi gas with widely tunable interactions
- Color Superfluidity and "Baryon" Formation in Ultracold Fermions
- Topological Kondo effect with Majorana fermions
- Many Body Effects on the Transport Properties of Single-Molecule Devices
- Electron Attraction Mediated by Coulomb Repulsion
- Quantum Phase Transition in a Resonant Level Coupled to Interacting Leads
- Superconductivity emerging near quantum critical point of valence transition
- A tunable Josephson platform to explore many-body quantum optics in circuit-QED
- Zero-bias conductance in carbon nanotube quantum dots
- Exploring the Kondo model in and out of equilibrium with alkaline-earth atoms
- Nonequilibrium charge-Kondo transport through negative-U molecules
- Current noise through a Kondo quantum dot in a SU(N) Fermi liquid state
- Tunneling spectroscopy of Majorana-Kondo devices
- SU(3) Anderson impurity model: A numerical renormalization group approach exploiting non-Abelian symmetries
- Attractive Coulomb interactions in a triple quantum dot
- Dissipative quantum phase transition in a quantum dot