Mutual information in heavy-fermion systems

Abstract

A key notion in heavy-fermion systems is the entanglement between conduction electrons and localized spin degrees of freedom. To study these systems from this point of view, we compute the mutual information in a ferromagnetic and antiferromagnetic Kondo lattice model in the presence of geometrical frustration. Here the interplay between the Kondo effect, the Ruderman-Kittel-Kasuya-Yosida interaction, and geometrical frustration leads to partial Kondo screened, conventional Kondo insulating, and antiferromagnetic phases. In each of these states the mutual information follows an area law, the coefficient of which shows sharp crossovers (on our finite lattices) across phase transitions. Deep in the respective phases, the area law coefficient can be understood in terms of simple direct product wave functions thereby yielding an accurate measure of the entanglement in each phase. The above-mentioned results stem from approximation-free auxiliary field quantum Monte Carlo simulations.

8 pages, 8 figures including Supplemental Material; v2: corrected typo; v3: published version

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Cited by in corpus (8)

• Controlled bond expansion for DMRG ground state search at single-site costs
• Kondo Breakdown via Fractionalization in a Frustrated Kondo Lattice Model
• Disentangling quantum matter with measurements
• Mutual information, quantum phase transition, and phase coherence in Kondo systems
• Amplified multipartite entanglement witnessed in a quantum critical metal
• Superconducting fluctuations and charge-4$e$ plaquette state at strong coupling
• The ALF (Algorithms for Lattice Fermions) project release 2.4. Documentation for the auxiliary-field quantum Monte Carlo code
• Towards Entanglement Entropy of Random Large-N Theories