65 research outputs found
Boundaries, Cusps and Caustics in the Multimagnon Continua of 1D Quantum Spin Systems
The multimagnon continua of 1D quantum spin systems possess several
interesting singular features that may soon be accessible experimentally
through inelastic neutron scattering. These include cusps and composition
discontinuities in the boundary envelopes of two-magnon continuum states and
discontinuities in the density of states, "caustics", on and within the
continuum, which will appear as discontinuities in scattering intensity. In
this note we discuss the general origins of these continuum features, and
illustrate our results using the alternating Heisenberg antiferromagnetic chain
and two-leg ladder as examples.Comment: 18 pages, 10 figure
Thermodynamic Properties of the Dimerised and Frustrated S=1/2 Chain
By high temperature series expansion, exact diagonalisation and temperature
density-matrix renormalisation the magnetic susceptibility and the
specific heat of dimerised and frustrated chains are computed.
All three methods yield reliable results, in particular for not too small
temperatures or not too small gaps. The series expansion results are provided
in the form of polynomials allowing very fast and convenient fits in data
analysis using algebraic programmes. We discuss the difficulty to extract more
than two coupling constants from the temperature dependence of .Comment: 14 pages, 13 figures, 4 table
Soliton Lattices in the Incommensurate Spin-Peierls Phase: Local Distortions and Magnetizations
It is shown that nonadiabatic fluctuations of the soliton lattice in the
spin-Peierls system CuGeO_3 lead to an important reduction of the NMR line
widths. These fluctuations are the zero-point motion of the massless phasonic
excitations. Furthermore, we show that the discrepancy of X-ray and NMR soliton
widths can be understood as the difference between a distortive and a magnetic
width. Their ratio is controlled by the frustration of the spin system. By this
work, theoretical and experimental results can be reconciled in two important
points.Comment: 9 pages, 5 figures included, Revtex submitted to Physical Review
Possible Localized Modes in the Uniform Quantum Heisenberg Chains of Sr2CuO3
A model of mobile-bond defects is tentatively proposed to analyze the
"anomalies" observed on the NMR spectrum of the quantum Heisenberg chains of
Sr2CuO3. A bond-defect is a local change in the exchange coupling. It results
in a local alternating magnetization (LAM), which when the defect moves,
creates a flipping process of the local field seen by each nuclear spin. At low
temperature, when the overlap of the LAM becomes large, the defects form a
periodic structure, which extends over almost all the chains. In that regime,
the density of bond-defects decreases linearly with T.Comment: 4 pages + 3 figures. To appear in Physical Review
Hole Dispersions for Antiferromagnetic Spin-1/2 Two-Leg Ladders by Self-Similar Continuous Unitary Transformations
The hole-doped antiferromagnetic spin-1/2 two-leg ladder is an important
model system for the high- superconductors based on cuprates. Using the
technique of self-similar continuous unitary transformations we derive
effective Hamiltonians for the charge motion in these ladders. The key
advantage of this technique is that it provides effective models explicitly in
the thermodynamic limit. A real space restriction of the generator of the
transformation allows us to explore the experimentally relevant parameter
space. From the effective Hamiltonians we calculate the dispersions for single
holes. Further calculations will enable the calculation of the interaction of
two holes so that a handle of Cooper pair formation is within reach.Comment: 16 pages, 26 figure
Coexistence of double alternating antiferromagnetic chains in (VO)_2P_2O_7 : NMR study
Nuclear magnetic resonance (NMR) of 31P and 51V nuclei has been measured in a
spin-1/2 alternating-chain compound (VO)_2P_2O_7. By analyzing the temperature
variation of the 31P NMR spectra, we have found that (VO)_2P_2O_7 has two
independent spin components with different spin-gap energies. The spin gaps are
determined from the temperature dependence of the shifts at 31P and 51V sites
to be 35 K and 68 K, which are in excellent agreement with those observed in
the recent inelastic neutron scattering experiments [A.W. Garrett et al., Phys.
Rev. Lett. 79, 745 (1997)]. This suggests that (VO)_2P_2O_7 is composed of two
magnetic subsystems showing distinct magnetic excitations, which are associated
with the two crystallographically-inequivalent V chains running along the b
axis. The difference of the spin-gap energies between the chains is attributed
to the small differences in the V-V distances, which may result in the
different exchange alternation in each magnetic chain. The exchange
interactions in each alternating chain are estimated and are discussed based on
the empirical relation between the exchange interaction and the interatomic
distance.Comment: 10 pages, 11 embedded eps figures, REVTeX, Submitted to Phys. Rev.
Magnetic excitations in the stripe phase of high-T_c superconductors
The magnetic excitations in the stripe phase of high-T_c superconductors are
investigated in a model of spin ladders which are effectively coupled via
charged stripes. Starting from the effective single-triplon model for the
isolated spin ladder, the quasi-one-dimensional spin system can be described
straightforwardly. Very good agreement is obtained with recent neutron
scattering data on La_(15/8)Ba_(1/8)CuO_4 (no spin gap) and YBa_2Cu_3O_(6.6)
(gapped). The signature of quasi-one-dimensional spin physics in a
single-domain stripe phase is predicted.Comment: 3 pages, 3 figures included, submitted to the proceedings of JEMS
200
Heat transport in SrCu_2(BO_3)_2 and CuGeO_3
In the low dimensional spin systems and the
thermal conductivities along different crystal directions show pronounced
double-peak structures and strongly depend on magnetic fields. For
the experimental data can be described by a purely phononic
heat current and resonant scattering of phonons by magnetic excitations. A
similar effect seems to be important in , too but, in addition, a
magnetic contribution to the heat transport may be present.Comment: 4 pages, 2 figures; appears in the proceedings of the SCES2001
(Physica B
Optical spectroscopy of (La,Ca)14Cu24O41 spin ladders: comparison of experiment and theory
Transmission and reflectivity of La_x Ca_14-x Cu_24 O_41 two-leg spin-1/2
ladders were measured in the mid-infrared regime between 500 and 12000 1/cm.
This allows us to determine the optical conductivity sigma_1 directly and with
high sensitivity. Here we show data for x=4 and 5 with the electrical field
polarized parallel to the rungs (E||a) and to the legs (E||c). Three
characteristic peaks are identified as magnetic excitations by comparison with
two different theoretical calculations.Comment: 4 pages, 2 figures, submitted to SCES 200
The microscopic spin-phonon coupling constants in CuGeO_3
Using RPA results, mean field theory, and refined data for the polarization
vectors we determine the coupling constants of the four Peierls-active phonon
modes to the spin chains of CuGeO_3. We then derive the values of the coupling
of the spin system to the linear ionic displacements, the bond lengths and the
angles between bonds. Our values are consistent with microscopic theories and
various experimental results. We discuss the applicability of static approaches
to the spin-phonon coupling. The c-axis anomaly of the thermal expansion is
explained. We give the values of the coupling constants in an effective
one-dimensional Hamiltonian.Comment: 11 pages, two figures, 13 tables, PRB 59 (in press
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