Localized spin excitations in an anisotropic Heisenberg ferromagnet with Dzyaloshinskii-Moriya interactions

Daniel, M.; Kavitha, L.

doi:10.1103/physrevb.63.172302

Cited by 57 publications

(28 citation statements)

References 15 publications

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“…One half spin corresponds to the two possible positions of the proton in the double-well potential along the O-O bond (hydrogen bond). This potential is a consequence of the interaction [46][47][48] for the spin operators in terms of the bosonic operators a † n , a n , which satisfy the usual Bose commutation relations. At a sufficiently low-temperature limit, the ground-state expectation value of a † n a n is small compared to 2S and n, therefore we can use the semi-classical expansions as where ε = 1/ √ S and, using (2), dimension-less Hamiltonian (1) can be written in a power series of ε, as Hamiltonian (3) characterizes the low-energy non-linear property of hydrogen-bonded chains in an oblique electric field.…”

Section: Mathematical Background Of Proton Dynamicsmentioning

confidence: 99%

Nano breathers and molecular dynamics simulations in hydrogen-bonded chains

Kavitha¹,

Muniyappan²,

Prabhu³

et al. 2012

J Biol Phys

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Non-linear localization phenomena in biological lattices have attracted a steadily growing interest and their existence has been predicted in a wide range of physical settings. We investigate the non-linear proton dynamics of a hydrogen-bonded chain in a semiclassical limit using the coherent state method combined with a Holstein-Primakoff bosonic representation. We demonstrate that even a weak inherent discreteness in the hydrogenbonded (HB) chain may drastically modify the dynamics of the non-linear system, leading to instabilities that have no analog in the continuum limit. We suggest a possible localization mechanism of polarization oscillations of protons in a hydrogen-bonded chain through modulational instability analysis. This mechanism arises due to the neighboring protonproton interaction and coherent tunneling of protons along hydrogen bonds and/or around heavy atoms. We present a detailed analysis of modulational instability, and highlight the role of the interaction strength of neighboring protons in the process of bioenergy localization. We perform molecular dynamics simulations and demonstrate the existence of nanoscale discrete breather (DB) modes in the hydrogen-bonded chain. These highly

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Section: Mathematical Background Of Proton Dynamicsmentioning

confidence: 99%

Nano breathers and molecular dynamics simulations in hydrogen-bonded chains

Kavitha¹,

Muniyappan²,

Prabhu³

et al. 2012

J Biol Phys

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“…In magnetic systems, the Dzyaloshinsky-Moriya (DM) interaction [13,14] plays an important role in describing weak ferromagnetism, phase transitions, spin soliton excitations, etc. [15][16][17]. However, DM interaction is seldom considered in previous works on ILSM's in antiferromagnets.…”

Section: Introductionmentioning

confidence: 94%

Intrinsic Localized Modes in Antiferromagnetic Chains with Dzyaloshinsky-Moriya Interaction

2014

Int J Theor Phys

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In this paper, we present an analytical study on intrinsic localized spin-wave modes in antiferromagnetic chains with Dzyaloshinsky-Moriya interaction in semiclassical limit. By means of the method of multiple scales combined with a quasi-discreteness approximation, the nonlinear Schrödinger equation is derived for the conherent-state amplitude. It is found that a bright stationary intrinsic localized spin-wave mode can appear below the linear spin-wave spectrum. Besides, we show that the antiferromagnetic chain can produce a dark intrinsic localized spin-wave mode, namely, nonpropagating kink, which is a typical nonlinear resonant mode.

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“…Recently, it is found that the two coupled spin ladder is expected to be integrable only when the two ferromagnetic legs are locked together at least at the level of the leading order allowing only small freedom for the individual spins [10,11]. Also, switching of magnetization via soliton flipping has been demonstrated in a biquadratic ferromagnet with varying exchange interactions [12][13][14][15][16][17]. High density data storage devices making use of ferromagnetic spin chains are indispensable for the growth of present day technology.…”

Section: Introductionmentioning

confidence: 98%