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DY: Fachverband Dynamik und Statistische Physik

DY 3: Quantum-Critical Phenomena (joint session TT/DY)

DY 3.2: Talk

Monday, March 9, 2026, 09:45–10:00, HSZ/0101

Spin and charge criticality in the pseudogap two-impurity Anderson model — •Charlotte Beneke and Matthias Vojta — Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany

The Kondo effect originates from spin screening of localized impurities by conduction electrons. This Kondo screening can be suppressed by a fermionic bath following a pseudogap (i.e. power-law) density of states, by inter-impurity interactions, or by coupling to multiple conduction channels. We investigate the two-impurity Anderson model in various limits, and establish mappings to known Kondo and Anderson models. This leads to rich phase diagrams with Kondo-breakdown transitions of distinct universality classes giving rise to non-Fermi-liquid behavior. We analyze the phase diagram, and critical exponents of the pseudogap two-impurity Anderson model in the particle-hole symmetric, SU(2)-invariant case using perturbative renormalization-group techniques. We recover the transitions of the pseudogap single-impurity Anderson model, and find additional Kondo-breakdown quantum transitions to inter-impurity singlet-, triplet- and charge-ordered phases. At the quantum critical points, superconducting-pairing susceptibilities can be enhanced depending on the type of spin- and charge criticality. We discuss connections to heavy-fermion systems and two-quantum-dot realizations where quantum dots act as tunable magnetic impurities.

Keywords: Pseudogap two-impurity Anderson model; Kondo-breakdown quantum phase transitions; Spin- and charge fluctuations; Superconducting pairing susceptibilities; Non-Fermi liquid physics

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