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Two-dimensional topological order of kinetically constrained quantum particles

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Kourtis, S 
Castelnovo, Claudio  ORCID logo


We investigate how imposing kinetic restrictions on quantum particles that would otherwise hop freely on a two-dimensional lattice can lead to topologically ordered states. The kinetically constrained models introduced here are derived as a generalization of strongly interacting particle systems in which hoppings are given by flux-lattice Hamiltonians and may be relevant to optically driven cold-atom systems. After introducing a broad class of models, we focus on particular realizations and show numerically that they exhibit topological order, as witnessed by topological ground-state degeneracies and the quantization of corresponding invariants. These results demonstrate that the correlations responsible for fractional quantum Hall states in lattices can arise in models involving terms other than density-density interactions.



cond-mat.str-el, cond-mat.str-el

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Physical Review B - Condensed Matter and Materials Physics

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American Physical Society (APS)
Engineering and Physical Sciences Research Council (EP/K028960/1)
Engineering and Physical Sciences Research Council (EP/M007065/1)
This work was supported in part by Engineering and Physical Sciences Research Council Grant No. EP/G049394/1, the Helmholtz Virtual Institute “New States of Matter and Their Excitations” and the EPSRC NetworkPlus on “Emergence and Physics far from Equilibrium”. S.K. acknowledges financial support by the ICAM Branch Contributions. The authors are grateful to M. Bukov, C. Chamon, N. R. Cooper, M. Daghofer, A. G. Grushin, C. Mudry, T. Neupert, and J. K. Pachos for stimulating discussions.