Quadrupole Excitation in Tunnel Splitting Oscillation in Nanoparticle 𝐌𝐧12

We analyze the interference between tunneling paths that occur for a spin system with special Hamiltonian both for dipole and quadrupole excitations. Using an instanton approach, we find that as the strength of the second-order transverse anisotropy is increased, the tunnel splitting for both excita...

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Main Authors: Yousef Yousefi, Khikmat Kh. Muminov
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Advances in Condensed Matter Physics
Online Access:http://dx.doi.org/10.1155/2012/530765
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spelling doaj-d0e964b7072f41709bc503bbbca20c1e2020-11-24T20:59:11ZengHindawi LimitedAdvances in Condensed Matter Physics1687-81081687-81242012-01-01201210.1155/2012/530765530765Quadrupole Excitation in Tunnel Splitting Oscillation in Nanoparticle 𝐌𝐧12Yousef Yousefi0Khikmat Kh. Muminov1Physical-Technical Institute Named after S.U.Umarov, Academy of Sciences of Republic of Tajikistan, Aini Ave 299/1, Dushanbe, TajikistanPhysical-Technical Institute Named after S.U.Umarov, Academy of Sciences of Republic of Tajikistan, Aini Ave 299/1, Dushanbe, TajikistanWe analyze the interference between tunneling paths that occur for a spin system with special Hamiltonian both for dipole and quadrupole excitations. Using an instanton approach, we find that as the strength of the second-order transverse anisotropy is increased, the tunnel splitting for both excitations is modulated, with zeros occurring periodically and the number of quenching points for quadrupole excitation decreasing. This effect results from the interference of four tunneling paths connecting easy-axis spin orientations and occurs in the absence of any magnetic field.http://dx.doi.org/10.1155/2012/530765
collection DOAJ
language English
format Article
sources DOAJ
author Yousef Yousefi
Khikmat Kh. Muminov
spellingShingle Yousef Yousefi
Khikmat Kh. Muminov
Quadrupole Excitation in Tunnel Splitting Oscillation in Nanoparticle 𝐌𝐧12
Advances in Condensed Matter Physics
author_facet Yousef Yousefi
Khikmat Kh. Muminov
author_sort Yousef Yousefi
title Quadrupole Excitation in Tunnel Splitting Oscillation in Nanoparticle 𝐌𝐧12
title_short Quadrupole Excitation in Tunnel Splitting Oscillation in Nanoparticle 𝐌𝐧12
title_full Quadrupole Excitation in Tunnel Splitting Oscillation in Nanoparticle 𝐌𝐧12
title_fullStr Quadrupole Excitation in Tunnel Splitting Oscillation in Nanoparticle 𝐌𝐧12
title_full_unstemmed Quadrupole Excitation in Tunnel Splitting Oscillation in Nanoparticle 𝐌𝐧12
title_sort quadrupole excitation in tunnel splitting oscillation in nanoparticle 𝐌𝐧12
publisher Hindawi Limited
series Advances in Condensed Matter Physics
issn 1687-8108
1687-8124
publishDate 2012-01-01
description We analyze the interference between tunneling paths that occur for a spin system with special Hamiltonian both for dipole and quadrupole excitations. Using an instanton approach, we find that as the strength of the second-order transverse anisotropy is increased, the tunnel splitting for both excitations is modulated, with zeros occurring periodically and the number of quenching points for quadrupole excitation decreasing. This effect results from the interference of four tunneling paths connecting easy-axis spin orientations and occurs in the absence of any magnetic field.
url http://dx.doi.org/10.1155/2012/530765
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