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Entropy

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

L.S. Lima

Published Dec 6, 2024• 2 citations
Publisher

Abstract

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.

DOI
10.3390/e26121060

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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.
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.
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We present an exact diagonalization study on layered J1−J2J_{1}-J_{2}J1​−J2​ antiferromagnetic Heisenberg spin model to examine the role of frustration induced by inplane next-nearest neighbor coupling J2J_{2}J2​, in presence of interlayer antiferromagnetic coupling J⊥J_{\perp}J⊥​. A finite lattice of 24 spins in layered geometry of (4×3)⊕(4×3)(4\times 3)\oplus (4\times 3)(4×3)⊕(4×3) is considered and the resulting Hamiltonian matrix diagonalized using Davidson iterative algorithm to obtain the ground and a few low-lying excited states. The lattice size (242424 spins with Hilbert space dimensionality of 270415627041562704156 in Sztot=0S_{z}^{tot}=0Sztot​=0 subspace) has been kept relatively small because of the large number of runs required to sample J1−J2−J⊥J_{1}-J_{2}-J_{\perp}J1​−J2​−J⊥​ parameter space. Quantities like spin-gap, Shannon entropy, spin-spin correlation, static spin structure-factor, magnetic specific-heat and magnetic susceptibility are calculated for various values of spin-spin coupling parameters. With increase in interlayer coupling, the system is driven to states with long range order and the interval of quantum paramagnetically disordered state, sandwiched between Néel and collinear ordered states, narrows on the scale of inplane frustration parameter.
The spin ladder systems have attracted a lot of interest in the field of low-dimensional physics. It is well known that the S = 1/2 two-leg spin ladder has a spin gap, while the three-leg one has a gapless spin liquid ground state. Some spin liquid behaviors were observed in the recent experiments of some frustrated systems; the distorted triangular lattice and kagome lattice antiferromagnets etc. Thus we consider the S = 1/2 three-leg spin ladder system with the next-nearest-neighbor interaction to investigate the effect of frustration on the spin liquids. Using the exact numerical diagonalization of finite-cluster systems, we study the ground state of this system. The phase diagram with respect to some exchange interaction constants is presented. It is revealed that sufficiently large next-nearest-neighbor coupling leads to a ferrimagnetic phase, which has a frustration-induced spontaneous magnetization. In addition we find two spin liquid phases, one of which corresponds to a Néel-like spin configuration and the other a collinear spin configuration. As a result of the numerical study, we find a new phase which is different from three phases.