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| Paper IPM / P / 15056 |
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| Abstract: | |||||
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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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