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- W3103305436 startingPage "043106" @default.
- W3103305436 abstract "The entanglement entropy of free fermions with a Fermi surface is known to obey a logarithmic scaling and violate the area law in all dimensions. Here, we would like to see how temperature affects the logarithmic scaling behavior. To this end, we compute the entanglement negativity of free fermions using the fermionic partial transpose developed in our earlier paper [Phys. Rev. B 95, 165101 (2017)]. In one dimension, we analytically derive the leading order term in the finite-temperature entanglement negativity and show how the entanglement negativity indicates a crossover from a quantum entangled state to a classical thermal state, where the entanglement is completely lost. We explain how the one-dimensional result can be generalized to codimension-one Fermi surface of arbitrary shape in higher dimensions. In both one and two dimensions, we check that our analytical results agree with the numerical simulation of free fermions on a lattice." @default.
- W3103305436 created "2020-11-23" @default.
- W3103305436 creator A5053662519 @default.
- W3103305436 creator A5064974445 @default.
- W3103305436 date "2019-04-30" @default.
- W3103305436 modified "2023-10-16" @default.
- W3103305436 title "Finite-temperature entanglement negativity of free fermions" @default.
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- W3103305436 doi "https://doi.org/10.1088/1742-5468/ab11e0" @default.
- W3103305436 hasPublicationYear "2019" @default.
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