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Paper   IPM / Physic / 15056
School of Physics
  Title:   Logarithmic Negativity in Lifshitz Harmonic Models
1.  M.M. Mohammadi Mozaffar
2.  A. Mollabashi
  Status:   Published
  Journal: J.Stat. Mech: Theory and Experiments
  No.:  5
  Vol.:  1805
  Year:  2018
  Pages:   053113
  Supported by:  IPM
Recently generalizations of the harmonic lattice model has been introduced as a discrete ap- proximation of bosonic eld theories with Lifshitz symmetry with a generic dynamical exponent z. In such models in (1+1) and (2+1)-dimensions, we study logarithmic negativity in the vacuum state and also nite temperature states. We investigate various features of logarithmic negativ- ity such as the universal term, its z-dependence and also its temperature dependence in various congurations. We present both analytical and numerical evidences for linear z-dependence of logarithmic negativity in almost all range of parameters both in (1+ 1) and (2+ 1)-dimensions. We also investigate the validity of area law behavior of logarithmic negativity in these generalized models and nd that this behavior is still correct for small enough dynamical exponents.

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