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Interplay of Spin Nernst Effect and Entanglement Negativity in Layered Ferrimagnets: A Study via Exact Diagonalization

L.S. Lima

Published Jun 16, 2025• 0 citations
Publisher
DOI
10.37247/etni2ed.2.25.8

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In this paper, we analyzed the influence of spin Nernst effect on quantum correlation in the layered ferrimagnetic model. In the study of three-dimensional ferrimagnets, the focus is on materials with a specific arrangement of spins, where neighboring spins are parallel and other antiparallel. The anisotropic nature of these materials means that the interactions between spins depend on their relative orientations in different directions. We analyzed the effect of magnon bands induced by the coupling parameters on entanglement negativity. The influence of the coupling parameters of the topologic phase transition on quantum entanglement is investigated as well. Numerical simulations using Lanczos algorithm and exact diagonalization for different sizes lattice are compared with the results of the spin wave theory.
In this paper, we analyzed the influence of the spin Nernst effect on quantum correlation in a layered ferrimagnetic model. In the study of three-dimensional ferrimagnets, the focus is on materials with a specific arrangement of spins, where the neighboring spins are parallel and the others are antiparallel. The anisotropic nature of these materials means that the interactions between spins depend on their relative orientations in different directions. We analyzed the effect of magnon bands induced by the coupling parameters on entanglement negativity. The influence of the coupling parameters of the topologic phase transition on quantum entanglement is investigated as well. Numerical simulations using the Lanczos algorithm and exact diagonalization for different lattice sizes are compared with the results of spin wave theory.
Abstract We investigate the influence of exchange interactions on quantum entanglement and magnon Nernst effect in the two-dimensional ferromagnet on honeycomb lattice. We analyze the effect of the variation induced on spin Nernst coefficient induced by the variation of the exchange parameters on entanglement. We use entanglement negativity as quantifier of entanglement and quantum correlations which is a useful measure to study entanglement in mixed state. Moreover, we studied the spin Nernst coefficient where we get that it tends to zero at T = 0, due to absence of thermally excited magnons at zero temperature. Simulations using Lanczos algorithm and exact diagonalization are performed for a finite size lattice and exhibit a behavior for entanglement negativity different from mean field theory.