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Entanglement Entropy in Lifshitz Theories
We discuss and compute entanglement entropy (EE) in (1+1)-dimensional free
Lifshitz scalar field theories with arbitrary dynamical exponents. We consider
both the subinterval and periodic sublattices in the discretized theory as
subsystems. In both cases, we are able to analytically demonstrate that the EE
grows linearly as a function of the dynamical exponent. Furthermore, for the
subinterval case, we determine that as the dynamical exponent increases, there
is a crossover from an area law to a volume law. Lastly, we deform Lifshitz
field theories with certain relevant operators and show that the EE decreases
from the ultraviolet to the infrared fixed point, giving evidence for a
possible c-theorem for deformed Lifshitz theories.Comment: 24 pages, 8 figures; v2: Clarified discussions in Subsection 3.3 and
appendix; v3: Major extension of results, including an analytic computation
of subinterval entanglement in massless scalar Lifshitz theories; v4: Added
footnote 4 for clarification, version to appear in SciPos
Means for growing ribbon crystals without subjecting the crystals to thermal shock-induced strains
A susceptor particularly suited for use in growing a ribbon crystal employing edge defined film fed growth techniques is described. The susceptor includes a die through which a melt is drawn for forming a crystal ribbon. This is combined with a coolant delivery system characterized by a pair of jets for directing a stream of fluid coolant along a path extended to impinge on the susceptor in close proximity with the die in nonincident relation with the crystal being grown
Susceptibility of the aphids Myzus persicae and Brevicoryne brassicae to systemic pesticides
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