Effect of an uniaxial single-ion anisotropy on the quantum and thermal
entanglement of a mixed spin-(1/2,$S$) Heisenberg dimer
- URL: http://arxiv.org/abs/2107.14620v1
- Date: Fri, 30 Jul 2021 13:38:51 GMT
- Title: Effect of an uniaxial single-ion anisotropy on the quantum and thermal
entanglement of a mixed spin-(1/2,$S$) Heisenberg dimer
- Authors: Hana Vargov\'a, Jozef Stre\v{c}ka and Nat\'alia Toma\v{s}ovi\v{c}ov\'a
- Abstract summary: Exact analytical diagonalization is used to study the bipartite entanglement of the antiferromagnetic mixed spin-(1/2,$S$) Heisenberg dimer (MSHD)
It is shown that the largest quantum entanglement is reached for the antiferromagnetic ground state of MSHD with arbitrary half-odd-integer spins $S$.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: Exact analytical diagonalization is used to study the bipartite entanglement
of the antiferromagnetic mixed spin-(1/2,$S$) Heisenberg dimer (MSHD) with the
help of negativity. Under the assumption of uniaxial single-ion anisotropy
affecting higher spin-$S$ ($S\!>\!1/2$) entities only, the ground-state
degeneracy $2S$ is partially lifted and the ground state is two-fold degenerate
with the total magnetization per dimer $\pm(S\!-\!1/2)$. It is shown that the
largest quantum entanglement is reached for the antiferromagnetic ground state
of MSHD with arbitrary half-odd-integer spins $S$, regardless of the exchange
and single-ion anisotropies. Contrary to this, the degree of a quantum
entanglement in MSHD with an integer spin $S$ for the easy-plane single-ion
anisotropy, exhibits an increasing tendency with an obvious spin-$S$ driven
crossing point. It is shown that the increasing spin magnitude is a crucial
driving mechanism for an enhancement of a threshold temperature above which the
thermal entanglement vanishes. The easy-plane single-ion anisotropy together
with an enlargement of the spin-$S$ magnitude is other significant driving
mechanism for an enhancement of the thermal entanglement in MSHD.
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