Exchange Narrowing in One-Dimensional Systems

Dietz, R. E.; Merritt, F. R.; Dingle, R.; Hone, Daniel; Silbernagel, B. G.; Richards, Peter M.

doi:10.1103/physrevlett.26.1186

Cited by 306 publications

(97 citation statements)

References 8 publications

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“…When the effect of the anisotropy is small, the ESR lineshape is shown to be Lorentzian up to a possible small smooth background; the width and the shift of the Lorentzian peak are given perturbatively. In one dimension, it was argued that the diffusive spin dynamics leads to a non-Lorentzian lineshape, which is indeed observed in the S = 5/2 antiferromagnetic chain TMMC 4 . However, our results imply that the argument does not apply to the present case of the S = 1/2 antiferromagnetic chain at low temperature.…”

Section: Introductionmentioning

confidence: 87%

“…At zero uniform field, the spin operators may be written in terms of the field φ as follows: 4) where the dual fieldφ is defined in terms of right-mover ϕ R and ϕ L as φ = ϕ R + ϕ L and φ = ϕ R − ϕ L . While S z and S x,y are represented in a very different way, their correlation functions turn out to be equal at the SU(2) invariant radius R = 1/ √ 2π, as required from the symmetry of the original Heisenberg chain.…”

Section: Field-theory Approach To Thementioning

confidence: 99%

“…The second term is 4) which is equivalent to the additional magnetic field of −2πλH. This can be absorbed by a renormalization of the magnetic field, giving the shift of the resonance by −2πλH.…”

Section: Exchange Anisotropy Parallel To the Field: Direct Calculmentioning

confidence: 99%

“…Among many experimental methods of investigation, Electron Spin Resonance (ESR) is unique for its high sensitivity to anisotropy. While the theory of ESR has been studied [1][2][3][4] for a long time, there remain important open problems, especially for strongly interacting systems. One of the problems is that, generally one has to make a crucial assumption about the lineshape at some point during the calculation.…”

Section: Introductionmentioning

confidence: 99%

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Electron spin resonance inS=12antiferromagnetic chains

2002

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A systematic field-theory approach to Electron Spin Resonance (ESR) in the S = 1/2 quantum antiferromagnetic chain at low temperature T (compared to the exchange coupling J) is developed. In particular, effects of a transverse staggered field h and an exchange anisotropy (including a dipolar interaction) δ on the ESR lineshape are discussed. In the lowest order of perturbation theory, the linewidth is given as ∝ Jh 2 /T 2 and ∝ (δ/J) 2 T , respectively. In the case of a transverse staggered field, the perturbative expansion diverges at lower temperature; non-perturbative effects at very low temperature are discussed using exact results on the sine-Gordon field theory. We also compare our field-theory results with the predictions of Kubo-Tomita theory for the high-temperature regime, and discuss the crossover between the two regimes. It is argued that a naive application of the standard Kubo-Tomita theory to the Dzyaloshinskii-Moriya interaction gives an incorrect result. A rigorous and exact identity on the polarization dependence is derived for certain class of anisotropy, and compared with the field-theory results.

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Section: Introductionmentioning

confidence: 87%

Section: Field-theory Approach To Thementioning

confidence: 99%

Section: Exchange Anisotropy Parallel To the Field: Direct Calculmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electron spin resonance inS=12antiferromagnetic chains

2002

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“…We study the angle dependence of the width of the resonance. It is well-known 19,20) that the width disappears at a certain angle (so-called magic angle),…”

Section: As Cmentioning

confidence: 99%

ESR Line Shape in Strongly Interacting Spin Systems

Ogasahara

Miyashita

2003

J. Phys. Soc. Jpn.

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The field and temperature dependence of the line shape of ESR for strongly interacting quantum spin systems would provide various important informations for the magnetic interaction. We have introduced a method of direct numerical estimation of the dynamical susceptibility with the Kubo formula and applied it to spin systems of various lattice structures. There the ESR line shape shows significant dependence on the strength of the field, and also on the geometrical situation among the directions of the fields and lattice axes.KEYWORDS: ESR, Kubo formula, Quantum spin system, Dynamical Shift, Antiferromagnetic Resonance, Paramagnetic Resonance, Nanoscale molecular magnets §1. IntroductionElectron spin resonance (ESR) has been one of the most powerful tool to study the magnetic properties of the material.1-4) In low dimensional strongly interacting spin systems, the ESR line shape depends on the geometrical structure among the lattice structure of the magnetic interaction, the static field and the oscillating So far, extensive studies have been done on the various ground state phases of the Heisenberg magnets with so-called spin gap, inspired by discovery of the Haldane phase of the spin 1 Heisenberg antiferromagnets. 5)The various phases are characterized in the view point of the VBS picture. 6, 7)However, from the view point of the ESR, as far as the Hamiltonian consists of the isotropic Heisenberg couplings, all of these systems give the same response, that the Zeeman term, which causes the paramagnetic resonance. In order to have a change in the line shape of ESR from the paramagnetic resonance (electron paramagnetic resonance, EPR), the system needs some perturbations which violate the SU(2) symmetry of the Heisenberg model and do not commute with the total magnetization.As a typical example, the effect of the dipole-dipole interaction on the shift of resonant field in the onedimensional Heisenberg antiferromagnet has been investigated by Nagata and Tazuke 8) with the effective mode method proposed by Kanamori-Tachiki.9) The resonant frequency shifts depending on the angle between the chain axis and the static field H 0 . The difference between the cases whether the static field and the chain axis are parallel or perpendicular is clarified. Furthermore the shift also depends on the direction of the oscillating field, as has been pointed out as the dynamical * E-mail address: ogasa@spin.t.u-tokyo.ac.jp * * E-mail address: miya@spin.t.u-tokyo.ac.jp shift. 10, 11)In order to study such dependence of the shift in the line shape and also of the width of the resonant peak in more general cases, we have introduced a direct numerical method to estimate the ESR line shape by studying the Kubo formula 4) with the full Hamiltonian of the spin system and the field. We have applied this method to Heisenberg antiferromagnetic chain and confirmed that we can reproduce the characteristic temperature and angle dependence.13) We also applied the method to antiferromagnetic clusters with easy-axis anisotropy and found that the ...

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