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TT: Fachverband Tiefe Temperaturen
TT 69: Nonequilibrium Quantum Systems II (joint session TT/DY)
TT 69.9: Talk
Thursday, March 21, 2024, 11:45–12:00, H 3025
Fractonic Dynamics in Breathing Quantum-Spin Ice — •Gloria Isbrandt1,2, Frank Pollmann1,2, and Michael Knap1,2 — 1Technical University of Munich, TUM School of Natural Sciences, Physics Department, 85748 Garching, Germany — 2Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 München, Germany
Fracton quantum matter is characterized by excitations with constrained mobility. It remains an open challenge to identify suitable material candidates for such systems. Recently, breathing pyrochlore lattices have been argued as potential candidates for realizing fractonic constraints. Here, we study the dynamics of excitations in such a breathing pyrochlore lattice. We derive an effective Hamiltonian for excitations in the fractonic ground state manifold, by resorting to the rank-2 U(1) gauge theory formulation and the rank-2 Gauss law of fractons. We show both by analytical considerations and by numerical simulations based on cellular automaton circuit dynamics, that excitations in these systems are confined to two-dimensional planes within the three-dimensional breathing pyrochlore lattice. We derive a height-field theory for the effective two-dimensional dynamics, which exhibits diffusive dynamics with slow modes at finite momenta, resulting from effective subsystem symmetries. Coined as "Fractonic Quantum-Spin Ice," this system offers a physically realizable platform for fractonic excitations predicted by higher-rank gauge theories
Keywords: Spin Ice; Fractons