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Quantum Monte Carlo finds two paths for heavy electron transport

Quantum Zeitgeist7 min read

Quantum Monte Carlo studies of U(1) lattice gauge models of Kondo breakdown, motivated by the description of heavy fermions by a compact U(1) gauge theory. Simulations identify two regimes—a heavy-fermion metal with robust low-frequency transport and a Kondo-breakdown metal with vanishing low-frequency transport.

Gaopei Pan and Fakher F. Assaad of Universität Würzburg used sign-problem-free determinant quantum Monte Carlo simulations to reveal two distinct pathways for heavy electron transport within a U(1) lattice gauge model. Their work identifies a heavy-fermion metal characterized by robust low-frequency transport alongside a Kondo-breakdown metal exhibiting vanishing transport at low frequencies, demonstrating that heavy electron behavior is not a single, predictable phenomenon. The researchers found that the Luttinger volume, a measure of electron count, differs significantly between these regimes, counting both composite and conduction electrons in the heavy-fermion phase but only conduction electrons in the Kondo-breakdown phase. This evolution, detailed through analysis of composite-fermion spectra and optical conductivity, provides a nonperturbative demonstration of gauge-mediated Kondo breakdown. Gaopei Pan of Universität Würzburg and Fakher F. Assaad detailed a U(1) lattice gauge model revealing two distinct regimes governing heavy electron…

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