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- W2323790138 abstract "Long-range quantum lattice systems often exhibit drastically different behavior than their short-range counterparts. In particular, because they do not satisfy the conditions for the Lieb-Robinson theorem, they need not have an emergent relativistic structure in the form of a light cone. Adopting a field-theoretic approach, we study the one-dimensional transverse-field Ising model with long-range interactions, and a fermionic model with long-range hopping and pairing terms, explore their critical and near-critical behavior, and characterize their response to local perturbations. We deduce the dynamic critical exponent, up to the two-loop order within the renormalization group theory, which we then use to characterize the emergent causal behavior. We show that beyond a critical value of the power-law exponent of the long-range couplings, the dynamics effectively becomes relativistic. Various other critical exponents describing correlations in the ground state, as well as deviations from a linear causal cone, are deduced for a wide range of the power-law exponent." @default.
- W2323790138 created "2016-06-24" @default.
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- W2323790138 date "2016-03-17" @default.
- W2323790138 modified "2023-10-12" @default.
- W2323790138 title "Causality and quantum criticality in long-range lattice models" @default.
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- W2323790138 doi "https://doi.org/10.1103/physrevb.93.125128" @default.
- W2323790138 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/6513008" @default.
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- W2323790138 hasPublicationYear "2016" @default.
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