Onsager-Zerlegung für einen Defektspin in der linearen Spinkette mitX-Y-Kopplung im kritischen Magnetfeld

The autocorrelation function of an impurity spin in an infinite chain of spins withX-Y-coupling moving in a critical magnetic field is shown to be an example of “Onsager separation” with a hydrodynamic branch point singularity. By reason of this type of singularity the hydrodynamic part of the autocorrelation function is longranged in time. It appears that the phenomenological part of the statistical entropy production associated with the impurity spin relaxation in the critical field is positive.     

Noise in the Helical Edge Channel Anisotropically Coupled to a Local Spin

We calculate the frequency-dependent shot noise in the edge states of a two-dimensional topological insulator coupled to a magnetic impurity with spin S = 1/2 of arbitrary anisotropy. If the anisotropy is absent, the noise is purely thermal at low frequencies, but tends to the Poisson noise of the full current I at high frequencies. If the interaction only flips the impurity spin but conserves those of electrons, the noise at high voltages eV ≫ T is frequency-independent. Both the noise and the backscattering current I_bs saturate at voltageindependent values. Finally, if the Hamiltonian contains all types of non-spin-conserving scattering, the noise at high voltages becomes frequency-dependent again. At low frequencies, its ratio to 2eI_bs is larger than 1 and may reach 2 in the limit I_bs→0. At high frequencies, it tends to 1.

     

Hyperfine interaction in a quantum spin chain

From an electron spin resonance measurement on a single crystal sample of theS=1 linear chain Heisenberg antiferromagnet Ni(C₃H₁₀N₂)₂NO₂ClO₄ (NINO) containing a small amount of Cu impurity atoms, we have observed two sets of four hyperfine lines, one of which has almost three times larger field splitting than the other. The hyperfine lines are well explained as arising from the hyperfine interaction between the Cu nuclear spin andthe Cu electron spin which interact with theS=1/2 degrees of freedom induced at the Ni sites by the quantum effect. A large anisotropy in the hyperfine constant is observed andanalyzed using a ligand field theory with covalency effects.     

Magnetic anisotropy of Zn-Mn and Zn-Cr alloys below 1 K

Low field magnetization measurements on very dilute Zn-Mn and Zn-Cr single crystal alloys show a large anisotropy in the parallel and perpendicular directions below 1 K. Such behavior is analyzed in terms of fine structure splitting of the impurity 3d-states in the axial crystal field of the Zn host. The closest theoretical fit to our data using such a simplified model gives an effective impurity spin S = 1 for each system with the crystal field splitting D = ?0.07 K for Zn-Mn and D = +0.08K for Zn-Cr.     

Non-analyticity of the entropy and Nernst's law in random spin systems

It is shown explicitly for a soluble model that a random spin system can have an entropy which is non-analytic at (H = 0, T = 0), with $\text{(}\text{?S}\text{?H}\text{)}{}_{\mathrm{H=0}}$ and/or $\text{(}\text{?}{}^2\text{S}\text{?H}{}^2\text{)}{}_{\mathrm{H=0}}$non-vanishing in the T → 0 limit, while nevertheless Nernst's law is satisfied.     

Multichannel Kondo problem and some applications

We review analytical and numerical results derived from the Bethe ansatz solution of the n-channel Kondo model of arbitrary spin S as a function of temperature, external field, impurity spin S and the number of channels n. Three situations have to be distinguished: (i) If n = 2S the conduction electrons exactly compensate the impurity spin into a singlet at low temperatures, (ii) if n < 2S the impurity spin is only partially compensated (undercompensated), and (iii) if n > 2S the impurity spin is said to be overcompensated giving rise to critical behaviour. The results are discussed in the context of magnetic impurities, e.g. Fe, Cr and Tm in simple metals, the quadrupolar Kondo effect, an impurity spin embedded in the Takhtajan-Babujian Heisenberg model and electron assisted-tunnelling of an atom in a double-well potential.     

Antiferromagnetic resonance in α-RbMnCl3 · 2H2O

Antiferromagnetic resonance results on α-RbMnCl₃ · 2H₂O below the Néel temperature 4.56 K are reported. At T = 1.2K we find for the anisotropy fields H^c = 440 Oe and H^a = 1510 Oe. The spin flop field at T = 1.2K is 14.62 kOe.     

On the static susceptibility in the kondo problem

The dynamical susceptibility of thes-d-model is calculated in second order. It turns out, that only the impurity-impurity part of the static susceptibility contains logarithmically divergent terms. In order to obtain convergent results belowT=T _k a partial summation is carried out for this part. The final result is expressed in terms of Suhl's spin flip scattering amplitude. We find an interpolation formula for the temperature dependence of the susceptibility with complete screening of the impurity spin forS=1/2 atT=0.     

Fine structure of shallow donor lines in germanium induced by magnetic field

Photoconductivity spectra of Ge doped with Sb and P were investigated in a magnetic field (H) at the temperature T = 4.2K. Measurements were performed in the Voigt configuration (H ∥ [111]). Fine structure of lines connected with optical transitions from the ground to the excited states of shallow donors due to spin splitting of impurity energy states were observed.     

Undercompensated kondo impurity with quantum critical point

The low-temperature properties of a magnetic impurity of spin S interacting with an electron gas via anisotropic spin exchange are studied via Bethe's ansatz. For S>1/2 the impurity is only partially compensated at T = 0, leaving an effective spin that is neither integer nor half integer. The entropy has an essential singularity at H = T = 0, and the susceptibility and the specific heat follow power laws of H and T with nonuniversal exponents, which are the consequence of a quantum critical point. The results for the generalization to an arbitrary number of channels are also reported.     

Dynamics of a longitudinal-and-transverse acoustic wave in a crystal with paramagnetic impurities

The evolution of longitudinal-and-transverse acoustic pulses propagating along an external magnetic field through a system of resonant paramagnetic impurities with effective spin S=1/2 is studied theoretically. It is shown that, when the group velocities of longitudinal and transverse waves are equal and the impurity concentration is sufficiently small, the initial system of equations is reduced to new evolution equations, which are integrable within the framework of the inverse scattering problem approach. These equations qualitatively describe the new coherent dynamics of acoustic pulses.     

Ground state properties of S = 1 antiferromagnetic chain systems studied by ESR

Electron spin resonance (ESR) was used to study the ground state properties of two kinds of spin (S) one Heisenberg antiferromagnetic chain systems, namely a uniform chain system (HAUC), which is well known as the Haldane system, and a bond alternating chain system (HABA). To investigate and compare the features of the ground state, two nickel chain compounds doped with non-magnetic Zn²⁺ impurities were studied. The HAUC was modelled with Ni(1,3-pn)₂(μ-NO₂)(ClO₄)(1,3-pn = 1,3-propanediamine), abbreviated as NINO, while the HABA was modelled with Ni(333-tet)(μ-NO₂)(ClO₄) (333-tet = bis-(3-aminopropyl)-1,3-propanediamine), abbreviated as NTENP. Both systems have a singlet ground state with an excitation gap. The ground state of NINO approximates well to the valence bond solid state, thus producing S = 1/2 spins at the sites neighbouring the impurities. The angular dependence of the ESR signals of NINO:Zn is explained by the anisotropy of the g tensor for spin 1/2. On the other hand, the ground state of NTENP is expected to be in the singlet dimer phase based on the ratio of alternating bond strengths. In this case, it is expected that the S = 1 spins will appear at the sites neighbouring the impurities without forming the singlet dimer. From ESR studies of NTENP:Zn was observed the triplet state (S = 1), induced by the impurity doping, which is consistent with the above picture.     

Large single-ion anisotropy and ferromagnetic intrachain interaction in four Ni-compounds of formula NiX2L2 with X = Cl,Br; L = N2C3H4, NC5H5

The specific heat has been measured of powdered samples of NiX₂L₂ (X = Cl, Br; L = pyrazole, pyridine), compounds which can be considered as weakly antiferromagnetically coupled ferromagnetic chains with large uniaxial single-ion anisotropy. The intrachain exchange constants and the zero-field splitting parameters for the four compounds have been deduced from the specific heat data, using accurate numerical calculations for the isotropic Heisenberg spin S = 1 linear chain model with uniaxial single-ion anisotropy.     

X-Band ESR and51V NMR study of the Haldane system PbNi2−xMgxV2O8

The temperature and angular dependence of the X-band electron spin resonance (ESR) and⁵¹V nuclear magnetic resonance (NMR) spectra have been measured in a recently discovered Haldenegap system, PbNi_2-xMg_xV₂O₈ (0≤x≤0.24). The angular dependence of the ESR signal suggests that both the spin diffusion as well as the magnetic anisotropy determine the electronic spin correlation functions. However, in doped samples the magnetic anisotropy increasingly dominates the spin dynamics on cooling. The huge broadening of the⁵¹V NMR spectra in doped samples at low temperatures provides evidence for localized magnetic moments in the vicinity of the Mg impurities. Locally distorted structure around each Mg impurity may slightly modify the magnetic interactions and be potentially responsible for the antiferromagnetic ordering (belowT _N≈ 3.5K) in doped compositions.     

Green function method study of the anisotropic ferromagnetic Heisenberg model on a square lattice

We study the phase diagram of the anisotropic ferromagnetic Heisenberg model on a square lattice. We use the double-time Green’s function method within the Callen decoupling approximation. The dependence of the Curie temperature T_c on the spin S and on the anisotropy parameter Δ (Δ=0 and 1 correspond to the isotropic Heisenberg and Ising model, respectively) is obtained explicitly. Our results are in agreement with results obtained from other theoretical approaches.     

Thermoelectric power of the vitreous electrolyte (AgI)0.79(Ag2O.B2O3)0.21

We have determined the thermoelectric power ? of the high ionic conductivity glass (AgI)_0.79(Ag₂O.B₂O₃)_0.21; ? is negative throughout the investigated T range, 320–500 K. The heat of transport of the mobile Ag⁺, Q_Ag, taken as the slope of the straight line fitting ? versus 1/T, is quite lower than the activation energy obtained from conductivity data, viz. Q_Ag = 2.81 kcal/mole^-1 < E_act = 4.34 kcalmole^-1. To circumvent this discrepancy, the analysis of the experimental data is carried out as follows: (i) it is supposed that Q_Ag = E_act in agreement with the free ion theory for solid electrolytes; (ii) the vibrational part of the silver ion entropy, S(Ag⁺, vib), is assumed to be equal to the entropy of silver, S(Ag); (iii) on the ground of a structural model for this kind of glasses, the ideal configurational entropy of the mobile Ag⁺, S(Ag⁺, conf)_id, is evaluated through a statistical approach. The ideal ionic entropy is defined as S(Ag⁺)_id = {S(Ag⁺, vib) + S(Ag⁺, conf)_id}; (iv) the difference {S(Ag⁺)_exp - S(Ag⁺)_id} is viewed as an excess entropy and is described according to the classical model of the regular solutions.     

Separation of overlapping singlet and triplet band systems in Cl2CS by LFES and MRS techniques

The visible absorption band systems of Cl₂CS have been reexamined using laser fluorescence excitation and magnetic rotation spectroscopy. Since the former is sensitive only to S₁ ← S₀ transitions and the latter primarily to T₁ ← S₀ transition, the spin multiplicities of the features in the overlapping singlet and triplet systems could be unambiguously determined. Analyses of the spectra gave new values for ν′₆ = 189 cm^?1 in the $\text{A}\text{?}$ state and ν′₁ = 923 cm^?1 in the $\text{a}\text{?}$ state. Bands with types A and C polarization were found to occur only very weakly in the $\text{A}\text{?}\text{←}\text{X}\text{?}$ spectrum in marked contrast to the corresponding system in the prototype thiocarbonyl compound, H₂CS.     

Angle-selective measurements of spin soliton in ladder polydiacetylene by pulsed 94 GHz EPR

Angle-selection experiments of a spin soliton in randomly oriented ladder polydiacetylene were carried out by pulsed electron paramagnetic resonance (EPR) at W-band. EPR measurement using 94 GHz microwaves increased the difference in the resonance field due tog anisotropy of the spin soliton to allow the orientation dependence of transient nutation, electron nuclear double resonance (ENDOR) and spin relaxations to be investigated. The shape of theg anisotropy-resolved nutation spectrum was discussed on the basis of the EPR transition moments and the differences between spin relaxation times. Reliable assignments of hyperfine couplings to the β protons (H_β) of the alkyl side chains were achieved with the support of W-band ENDOR measurements. No significant orientational dependence in theT ₁ andT ₂ processes was found in terms of isotropy of the H_β-hyperfine interaction.     

Magnetic resonance in amorphous FexNi80-xP14B6: II. Spin glass alloys

We report EPR measurements on amorphous Fe_xNi_80-xP₁₄B₆ alloys for concentrations less than that required for ferromagnetism. Measurements were made at microwave frequencies between 10 and 35 GHz and at temperatures between 2 and 150 K. We find i) at high temperatures the alloys are simple paramagnets with ? ≈ 2.14 and a relaxation rate (linewidth) increasing linearly with temperature, ii) the linewidth increases at low T and follows an empirical form proposed earlier, iii) as the temperature is decreased, the susceptibility (measured by reference to the line intensities) increases, iv) in order to account for the frequency dependence of the resonance field we must introduce an anisotropy energy with uniaxial symmetry; the “hard axis” being normal to the sample plane. The associated anisotropy constant K' appears at several times the spin glass transition temperature T_SG, v) at still lower temperatures ( < 2T_SG) another type of anisotropy field appears. The corresponding anisotropy energy is similar to that introduced to explain data on the reentrant alloys of this system and the archetypal spin glasses CuMn and AgMn and the anisotropy constant K has the same type of temperature dependence. However, the frequency dependence of K is different.     

Ferromagnetic resonance investigation of nanocrystalline FeCuNbSiB

An elaborate line-shape analysis of the ferromagnetic resonance (FMR) spectra taken in the temperature range 100 K to 350 K on amorphous FeCuNbSiB alloys before and after nanocrystallizing them reveals that in the nanocrystalline state, (i) spin wave stiffness (D) is enhanced while the saturation magnetization,M _S, is reduced, (ii) both the ‘in-plane’ anisotropy field,H _K, as well as the FMR line-width scale with MS, (iii) the single-ion anisotropy of spin-orbit plus crystal field origin dominates over the twoion anisotropy of dipolar origin and (iv) multi-magnon scattering contributions to FMR line-width become important in some cases