Quantum correlation, entanglement and influnece of magnon Hall effect on some quantum spin systems

Quantum correlations and entanglement in some quantum spin systems as the nearest-neighbor Heisenberg model on Lieb lattice (LL) with out-of-plane Dzyaloshinskii-Moriya (DMI) antissimetric spins coupling and external magnetic field was studied [1,2]. We obtain the behaviour of the von Neumann entropy (VN) and entanglement negativity as a function of the DMI interaction, analyzing the effect of magnon bands on quantum entanglement. Furthermore, quantum correlations in some fermions models such as the two-dimensional non-Hermitian model (NH) on LL lattice and the tight-binding model (TB) on the LL lattice have been also investigated. In these models, we analyze the effect of opening of the gap in the spectrum in quantum entanglement quantifiers as von Neumann entropy and entanglement negativity. In addition, we analyze quantum correlations in other models as well: in the two-dimensional Heisenberg model on checkerboard and honeycomb lattices[3,4] as well as in other non-Hermitian quantum spin systems [5].

REFERÊNCIAS

[1] L.S. Lima, Physica E 141, 115235 (2022).

[2] L.S. Lima Physica E 128, 114580 (2021).

[3] L.S. Lima, The European Physical Journal Plus 137, 1 (2022).

[4] L.S. Lima, Journal of Low Temperature Physics 201, 515 (2020).

[5] L. S. Lima, L dos Santos Lima - Available at SSRN 4154106 - papers.ssrn.com