Theory of Microwave Absorption by the Spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>Heisenberg-Ising Magnet

Brockmann, Michael; Göhmann, Frank; Karbach, Michael; Klümper, Andreas; Weiße, Alexander

doi:10.1103/physrevlett.107.017202

Cited by 9 publications

(20 citation statements)

References 17 publications

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“…At low temperature the resonance shift as a function of the resonance field shows stronger deviation from linear behavior. Fitting different theoretical predictions 27,28,30,32 we shall obtain two more estimates of the anisotropy parameter δ. Both of them are compatible with our previously obtained values within the estimated errors.…”

Section: Esr On Cu(py)2br2mentioning

confidence: 99%

“…Note that in Eqs. (26), (27), and (28) there is, in general, an angular dependent prefactor 3 cos 2 ϑ − 1 (see Eq. (B13b) in App.…”

Section: Low Temperaturesmentioning

confidence: 99%

“…The three different theoretical curves (26), (27), and (28), for several values of δ, are shown in Fig. 7, where the resonance shift is plotted as a function of h/(g c J) = µ B µ 0 H res /J and compared with the experimental data.…”

Section: Low Temperaturesmentioning

confidence: 99%

“…The difference between Eqs. (27) and (28) is therefore mostly due to the temperature. In order to illustrate its effect we use the δ values obtained from the fit of s(T, h, δ) in both cases.…”

Section: Low Temperaturesmentioning

confidence: 99%

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Anisotropic magnetic interactions and spin dynamics in the spin-chain compound Cu(py)2Br2 : An experimental and theoretical study

et al. 2017

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We compare theoretical results for electron spin resonance (ESR) properties of the Heisenberg-Ising Hamiltonian with ESR experiments on the quasi-one-dimensional magnet Cu(py)2Br2 (CPB). Our measurements were performed over a wide frequency and temperature range giving insight into spin dynamics, spin structure, and magnetic anisotropy of this compound. By analyzing the angular dependence of ESR parameters (resonance shift and linewidth) at room temperature we show that the two weakly coupled inequivalent spin chain types inside the compound are well described by Heisenberg-Ising chains with their magnetic anisotropy axes perpendicular to the chain direction and almost perpendicular to each other. We further determine the full g-tensor from these data. In addition, the angular dependence of the linewidth at high temperatures gives us access to the exponent of the algebraic decay of a dynamical correlation function of the isotropic Heisenberg chain. From the temperature dependence of static susceptibilities we extract the strength of the exchange coupling (J/kB = 52.0 K) and the anisotropy parameter (δ ≈ −0.02) of the model Hamiltonian. An independent compatible value of δ is obtained by comparing the exact prediction for the resonance shift at low temperatures with high-frequency ESR data recorded at 4 K. The spin structure in the ordered state implied by the two (almost) perpendicular anisotropy axes is in accordance with the propagation vector determined from neutron scattering experiments. In addition to undoped samples we study the impact of partial substitution of Br by Cl ions on spin dynamics. From the dependence of the ESR linewidth on doping level we infer an effective decoupling of the anisotropic component Jδ from the isotropic exchange J in these systems.

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Section: Esr On Cu(py)2br2mentioning

confidence: 99%

“…Note that in Eqs. (26), (27), and (28) there is, in general, an angular dependent prefactor 3 cos 2 ϑ − 1 (see Eq. (B13b) in App.…”

Section: Low Temperaturesmentioning

confidence: 99%

Section: Low Temperaturesmentioning

confidence: 99%

Section: Low Temperaturesmentioning

confidence: 99%

See 2 more Smart Citations

Anisotropic magnetic interactions and spin dynamics in the spin-chain compound Cu(py)2Br2 : An experimental and theoretical study

et al. 2017

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“…This situation is in contrast to the fact that S = 1/2 HAF critical chain whose low-temperature ESR is well understood. [7][8][9][10] Although ESR of the S = 1 HAF chain has been studied in several works, they were mostly concerned with ESR in gapped phases. 11,12 It is the objective of the present paper to fill this gap by developing a theory of ESR in the field-induced critical phase, especially around quantum critical points, of one-dimensional quantum spin systems in an organized manner.…”

Section: Introductionmentioning

confidence: 99%

Electron spin resonance shifts inS=1antiferromagnetic chains

2013

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We discuss electron spin resonance (ESR) shifts in spin-1 Heisenberg antiferromagnetic chains with a weak single-ion anisotropy, based on several effective field theories: the O(3) nonlinear sigma model (NLSM) in the Haldane phase, free fermion theories around the lower and the upper critical fields. In the O(3) NLSM, the single-ion anisotropy corresponds to a composite operator which creates two magnons at the same time and position. Therefore, even inside a parameter range where free magnon approximation is valid for thermodynamics, we have to take interactions among magnons into account in order to include the single-ion anisotropy as a perturbation. Although the O(3) NLSM is only valid in the Haldane phase, an appropriate translation of Faddeev-Zamolodchikov operators of the O(3) NLSM to fermion operators enables one to treat ESR shifts near the lower critical field in a similar manner to discussions in the Haldane phase. Our theory gives quantitative agreements with a numerical evaluation using Quantum Monte Carlo simulation, and also with recent ESR experimental results on a spin-1 chain compounds NDMAP.

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Modern Electron Paramagnetic Resonance Techniques and Their Applications to Magnetic Systems

Zorko

Pregelj

Arčon

2017

Handbook of Solid State Chemistry

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Ever since its invention in 1940s the electron paramagnetic resonance (EPR) has been one of the most important and versatile spectroscopic methods for studies of new materials. Numerous approaches ranging from conventional continuous wave to more modern pulsedEPRtechniques were introduced to provide insight into their structure, dynamics, or chemical reactivity at the local scale. More recently, efforts to increase sensitivity and enhance resolution led to highly innovative detection methods and expandedEPRto high‐frequency high‐magnetic field experimental regimes. Such intensive experimental instrumentation development together with parallel theoretical breakthroughs in particular enabledEPRto provide unique information about the spin Hamiltonians and the nature of low‐energy excitations in magnetic systems. Here, we review such modern approaches for studies of low‐dimensional and frustrated quantum antiferromagnets and provide several examples where full strength of theEPRtechnique is demonstrated. We provide thorough overview of the “conventional” Kubo–Tomita theory and critically comment its applicability to one‐dimensional spin systems. There, alternative approaches based on exact computations of theEPRresponse and Oshikawa–Affleck field theory have been successfully implemented. Finally, we also review the (anti)ferromagnetic resonance in the magnetically ordered phase. Important instrumental and theoretical advances that we have witnesses in the last couple of decades significantly extend the range of applicability ofEPRand shall lead to many new discoveries in the future.

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Theory of Microwave Absorption by the Spin-1/2Heisenberg-Ising Magnet

Cited by 9 publications

References 17 publications

Anisotropic magnetic interactions and spin dynamics in the spin-chain compound Cu(py)2Br2 : An experimental and theoretical study

Anisotropic magnetic interactions and spin dynamics in the spin-chain compound Cu(py)2Br2 : An experimental and theoretical study

Electron spin resonance shifts inS=1antiferromagnetic chains

Modern Electron Paramagnetic Resonance Techniques and Their Applications to Magnetic Systems

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