Formation and annihilation of magnetic skyrmions on a square lattice Heisenberg Ferromagnet: the role played by the pure and random anisotropy configurations

Yüksel, Yusuf

doi:10.1080/14786435.2021.1931523

Cited by 1 publication

(1 citation statement)

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“…Such interaction has been found to give rise to spiral magnetic order in many 1D as well as 2D spin systems. For instance, in reference [11] the authors have clearly depicted an existence of spiral magnetic ordering leading to a 'striped' magnetic order in a 2D Heisenberg square lattice. In our case interestingly, there was initially a magnetic order in the z-direction.…”

Section: Introductionmentioning

confidence: 99%

Loss of classicality in alternating spin- 12 /spin-1 chain, in the presence of next-neighbor couplings and Dzyaloshinskii–Moriya interactions

Lahiri

Pati

2022

J. Phys.: Condens. Matter

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We have considered and alternating spin-½/spin-1 chain with nearest-neighbor (J1), next-nearest neighbor (J2) antiferromagnetic Heisenberg interactions along with z-component of the Dzyaloshinskii-Moriya(DM) (Dz) interaction. The Hamiltonian has been studied using (a) Linear Spin-Wave Theory(LSWT) and (b) Density Matrix Renormalization Group (DMRG). The system had been reported earlier as a classical ferrimagnet only when nearest neighbor exchange interactions are present. Both the antiferromagnetic next-nearest neighbor interactions and DM interactions introduce strong quantum ﬂuctuations and due to which all the signatures of ferrimagnetism vanishes. We ﬁnd that the nonzero J2 introduces strong quantum ﬂuctuations in each of the spin sites due to which the z-components of both spin-1 and spin-1/2 sites average out to be zero. The ground state becomes a singlet. The presence of J1 along with Dzintroduces a short range order but develops long range order along the XY plane. J1 along with J2induces competing phases with structure factor showing sharp and wide peaks, at two diﬀerent angles reﬂecting the spin spiral structure locally as well as in the underlying lattice. Interestingly, we ﬁnd that the Dz term removes the local spin spiral structure in z-direction, while developing a spiral order in the XY plane.

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Section: Introductionmentioning

confidence: 99%