Magnetic resonance on LiCuVO 4

EPR and ⁷Li NMR measurements were performed in the distorted inverse spinel V(LiCu)O₄ down to 1.5 K. Anisotropy effects on magnetic resonance spectra due to the Jahn-Teller distortion of the oxygen octahedra surrounding the copper ions are discussed. The estimation of the spin-spin interactions deduced from the EPR-relaxation rate Δ H reveals a situation comparable to the prototypical one-dimensional S = 1/2 Heisenberg antiferromagnet CuGeO₃. Approaching three-dimensional antiferromagnetic order ( T _N ≈ 2 K) from above, both magnetic relaxation rates, Δ H _EPR and ⁷ (1/ T ₁ ), respectively, exhibit nearly the same critical divergence reminding to the onset of three-dimensional order in two-dimensional layered systems. Received 22 January 2001 and Received in final form 6 May 2001     

Infrared spectra and lattice vibrations of the spin-chain compound LiCuVO 4

The infrared spectra of the one-dimensional antiferromagnet LiCuVO₄ are measured in the frequency range from 10 cm^-1 to 10 000 cm^-1 and at temperatures from 2 K to 300 K, for the electric field vector E of the radiation polarized either along the a- or along the b-crystallographic directions. For each polarization six infrared active phonon modes are observed in accordance with factor group analysis of the crystal structure of LiCuVO₄. The theoretical group analysis of the possible spinel low-symmetry phases is performed within the framework of Landau's theory of phase transitions. The parameters of several phonon lines show noticeable anomalies around 150 K where the magnetic correlations appear in the copper chains, which may indicate a finite interaction between the phonon and the magnon subsystems in LiCuVO₄. Received 19 February 2001 and Received in final form 26 June 2001     

Quasi-one-dimensional conductors

This review is intended to be an introduction to the physics of quasi-one-dimensional conductors which exhibit a Peirels instability. It is first shown that the Peirels instability occurs because of a fundamental instability in the electronic system. The mean field theory of the Peierls instability for the Fröhlich Hamiltonian of a one-dimensional electronic system which interacts with lattice modes of vibration is then discussed. The properties of the periodic lattice distortions and the accompanying charge density waves which result from the instability are described and the important effects of fluctuations and three dimensionality are considered. The observed properties of the mixed valence planar transition metal compound, K₂[Pt(CN)₄]Br_0.30·3H₂O, and the organic charge transfer salt, tetrathiofulvalinium tetracyanoquinodimethane, are then presented and they are interpreted in terms of the Peierls-Fröhlich model of one-dimensional conductor. Theoretical predictions for one-dimensional electronic systems in, which Coulomb interactions are important are also described and their relevance to tetrathiofulvalinium tetracyanoquinodimethane is considered.     

Spinon thermal conductivity of-(CuO2)-spin chains in LiCuVO4

The thermal conductivity κ ^b_tot of the quasi-one-dimensional (S=1/2) Heisenberg antiferromagnet LiCuVO₄ with uniform (-CuO₆-) spin chains aligned parallel to the b axis in a crystal with an orthorhombically distorted inverse spinel structure is measured in the temperature range 10–300 K. The spinon component κ ^chain_m of the thermal conductivity is separated out.

     

Quasi-one-dimensional foam drainage

Foam drainage is considered in a froth flotation cell. Air flow through the foam is described by a simple two-dimensional deceleration flow, modelling the foam spilling over a weir. Foam microstructure is given in terms of the number of channels (Plateau borders) per unit area, which scales as the inverse square of bubble size. The Plateau border number density decreases with height in the foam, and also decreases horizontally as the weir is approached. Foam drainage equations, applicable in the dry foam limit, are described. These can be used to determine the average cross-sectional area of a Plateau border, denoted A, as a function of position in the foam. Quasi-one-dimensional solutions are available in which A only varies vertically, in spite of the two-dimensional nature of the air flow and Plateau border number density fields. For such situations the liquid drainage relative to the air flow is purely vertical. The parametric behaviour of the system is investigated with respect to a number of dimensionless parameters: K (the strength of capillary suction relative to gravity), α (the deceleration of the air flow), and n and h (respectively, the horizontal and vertical variations of the Plateau border number density). The parameter K is small, implying the existence of boundary layer solutions: capillary suction is negligible except in thin layers near the bottom boundary. The boundary layer thickness (when converted back to dimensional variables) is independent of the height of the foam. The deceleration parameter α affects the Plateau border area on the top boundary: weaker decelerations give larger Plateau border areas at the surface. For weak decelerations, there is rapid convergence of the boundary layer solutions at the bottom onto ones with negligible capillary suction higher up. For strong decelerations, two branches of solutions for A are possible in the K = 0 limit: one is smooth, and the other has a distinct kink. The full system, with small but non-zero capillary suction, lies relatively close to the kinked solution branch, but convergence from the lower boundary layer onto this branch is distinctly slow. Variations in the Plateau border number density (non-zero n and h) increase individual Plateau border areas relative to the case of uniformly sized bubbles. For strong decelerations and negligible capillarity, solutions closely follow the kinked solution branch if bubble sizes are only slightly non-uniform. As the extent of non-uniformity increases, the Plateau border area reaches a maximum corresponding to no net upward velocity of foam liquid. In the case of vertical variation of number density, liquid content profiles and Plateau border area profiles cease to be simply proportional to one another. Plateau border areas match at the top of the foam independent of h, implying a considerable difference in liquid content for foams which exhibit different number density profiles. Received 3 July 2001     

Quasi-one-dimensional quantum ferrimagnets

We present an exact diagonalization study of the half-filled Hubbard model on bipartite quasi-one-dimensional lattices. In particular, we emphasize the dependence of the ferrimagnetic ground state properties, and its associated magnetic excitations, on the Coulomb repulsion U.     

Quasi-one-dimensional polarized fermi superfluids

We calculate the zero-temperature (T=0) phase diagram of a polarized two-component Fermi gas in an array of weakly coupled parallel one-dimensional (1D) "tubes" produced by a two-dimensional optical lattice. Increasing the lattice strength drives a crossover from three-dimensional (3D) to 1D behavior, stabilizing the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) modulated superfluid phase. We argue that the most promising regime for observing the FFLO phase is in the quasi-1D regime, where the atomic motion is largely 1D but there is weak tunneling in the other directions that stabilizes long-range order. In the FFLO phase, we describe a phase transition where the quasiparticle spectrum changes from gapless near the 3D regime to gapped in quasi-1D.     

Quasi-one-dimensional structure of polar liquids

The model of hindered molecular rotation considers a dense polar liquid as an infinite statistical chain of particles bound by dipole forces. The applicability limits of this quasi-one-dimensional model and the nature of possible phase transitions in the system under consideration are discussed.     

Quasi-one-dimensional transport in conducting polymer nanowires

Recent advances in the synthesis of nanowires based on conducting conjugated polymers are described. The results of recent experimental studies of the electrical properties of polymer nanowires are critically analyzed. The applicability of various theoretical models of tunneling in one-dimensional conductors (variable-range hopping conductivity, Luttinger liquid, Wigner crystal, etc.) to the interpretation of the experimental data on the electronic transport in polymer nanosystems is discussed. A phenomenological model is proposed describing the mechanism of transport in polymer nanowires with allowance for the quasi-one-dimensional nature of molecules of conjugated polymers. The first applications of polymer nanowires in nanoelectronics and prospects for the future are discussed.     

Quasi-one-dimensional magnons in an intermetallic marcasite

We present inelastic neutron scattering measurements and first principles calculations examining the intermetallic marcasite CrSb(2). The observed spin-wave dispersion implies that the magnetic interactions are strongly one-dimensional with antiferromagnetic chains parallel to the crystalline c axis. Such low-dimensional excitations are unexpected in a semiconducting intermetallic system. Moreover, we observe a clear anisotropic thermal conductivity indicating that the magnetic anisotropy enhances thermoelectric properties along particular crystallographic directions.     

Magnetic behavior of the two-dimensional antiferromagnet RbFeF4

RbFeF₄ shows anomalous magnetic susceptibility behavior rather similar to that of KFeF₄, in which the existence of two-dimensional antiferromagnetic ordering has recently been clearly demonstrated. A neutron diffraction study of powder samples reveals that RbFeF₄ orders antiferromagnetically in three dimensions at T_N = 134 K. In addition around T_N, the diffraction patterns indicate a magnetic ridge, thus giving, in accordance with KFeF₄, the evidence of the two-dimensional nature of the magnetism in RbFeF₄.     

Quasi-one-dimensional ballistic ring in crossed RF electric fields

The electron dynamics in a quasi-one-dimensional ballistic ring that is subjected to two rf electric fields that have mutually orthogonal polarizations and lie in the plane of the ring is considered. The mean dipole moment and the ring radiation intensity are calculated. The condition for spontaneous symmetry breaking, as a result of which the dipole moment of the system acquires a constant component, is found.     

Magnetic anisotropy of antiferromagnet (CH3)4NMnCl3

The parameters of the electron paramagnetic resonance (EPR) spectra of S ion pairs in diamagnetic crystals are analyzed. A relation between the spin Hamiltonian constants is established for solitary ions and pairs for (CH₃)₄NCdCl₃: Mn²⁺ crystals. In contrast to solitary ions, an additional contribution (which is a linear function of the exchange field) to the “single-ion” spin Hamiltonian constants appears in the case of pairs. It is shown that anisotropic exchange mechanisms do not play a significant part in the formation of the axial constant of the spin Hamiltonian for this crystal. Some aspects of the method of studying “single-ion” anisotropy predicted by the two-ion model are developed with the help of an isostructural diamagnetic analog with impurity concentration of the paramagnetic ions of a magnetically concentrated substance sufficiently high for observing the EPR spectrum of the pairs. It is found that the microscopic quantities determined partially from the EPR spectra for pairs and solitary Mn²⁺ ions in (CH₃)₄NCdCl₃ are in accord with the experimental value of the effective field for the (CH₃)₄NMnCl₃ crystal anisotropy which can be described primarily by the dipole and “single-ion” mechanisms of the exchange origin.     

Mössbauer study on a two-dimensional triangular antiferromagnet YFeMnO4

Magnetic ordering of YFeMnO₄ has been studied with Mössbauer spectroscopy in the temperature range between 4.2 K and 300 K on the conditions of gamma rays parallel to and perpendicular to thec-axis. It is revealed that the spin system orders like a Heisenberg spin system in a triangular antiferromagnet with an anisotropic axis parallel to thec-axis.     

An X-Y antiferromagnet

A two-sublattice X-Y antiferromagnet is treated using the second-order Green function theory. The higher-order Green functions are decoupled by the random phase approximation (RPA), and the transition temperature T_N, where the paramagnetic staggered susceptibility diverges, and the critical values of the spin correlation functions are calculated for systems having simple cubic and body centred cubic lattice structures and for all spin values. Comparing the results with the experimental Néel temperatures of Co(C₅H₅NO)₆(ClO₄)₂ and Co(C₅H₅NO)₆(BF₄)₂ we get J/k_B=0.258 K and 0.216 K for these compounds, respectively.     

Diluted graphene antiferromagnet

We study RKKY interactions between local magnetic moments for both doped and undoped graphene. In the former case interactions for moments located on definite sublattices fall off as 1/R2, whereas for those placed at interstitial sites they decay as 1/R3. The interactions are primarily (anti)ferromagnetic for moments on (opposite) equivalent sublattices, suggesting that at low temperature dilute magnetic moments embedded in graphene can order into a state analogous to that of a dilute antiferromagnet. In the undoped case we find no net magnetic moment in the ground state, and demonstrate numerically this effect for ribbons, suggesting the possibility of an unusual spin-transfer device.     

Magnetoelectric effect and magnetic dynamics in the Gd2CuO4 antiferromagnet

The magnetoelectric effect and the magnetic dynamics in Gd₂CuO₄ have been studied using a phenomenological approach and group-theory methods. Vector order parameters are introduced based on four magnetic sublattices. Invariant products of the order parameters are determined, from which the thermodynamic potential density is constructed. Using the spin-wave representation, the calculations can be significantly simplified and the ground orientation magnetic state can be presumably determined. The magnetic dynamics is described by the Landau-Lifshitz equations, from which the antiferromagnetic resonance frequency and the dynamic susceptibilities, namely, magnetic, antiferromagnetic, magnetoelectric, and antiferroelectric susceptibilities are found. The frequency and the susceptibility are shown to be controlled by applied electric field.