skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Erratum: Dynamics and Scaling in a Quantum Spin Chain Material with Bond Randomness

Abstract

No abstract prepared.

Authors:
 [1];  [1];  [2];  [3];  [3]
  1. ORNL
  2. RIKEN, Japan
  3. National Institute of Standards and Technology (NIST)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); High Flux Isotope Reactor
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
966384
DOE Contract Number:
DE-AC05-00OR22725
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 93; Journal Issue: 16
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; RANDOMNESS; SPIN; CHEMICAL BONDS; DYNAMICS

Citation Formats

Masuda, Takatsugu, Zheludev, Andrey I, Uchinokura, K., Chung, J.-H., and Park, S. Erratum: Dynamics and Scaling in a Quantum Spin Chain Material with Bond Randomness. United States: N. p., 2006. Web.
Masuda, Takatsugu, Zheludev, Andrey I, Uchinokura, K., Chung, J.-H., & Park, S. Erratum: Dynamics and Scaling in a Quantum Spin Chain Material with Bond Randomness. United States.
Masuda, Takatsugu, Zheludev, Andrey I, Uchinokura, K., Chung, J.-H., and Park, S. Sun . "Erratum: Dynamics and Scaling in a Quantum Spin Chain Material with Bond Randomness". United States. doi:.
@article{osti_966384,
title = {Erratum: Dynamics and Scaling in a Quantum Spin Chain Material with Bond Randomness},
author = {Masuda, Takatsugu and Zheludev, Andrey I and Uchinokura, K. and Chung, J.-H. and Park, S.},
abstractNote = {No abstract prepared.},
doi = {},
journal = {Physical Review Letters},
number = 16,
volume = 93,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 2006},
month = {Sun Jan 01 00:00:00 EST 2006}
}
  • Single crystal inelastic neutron scattering is used to study dynamic spin correlations in the quasi-one-dimensional quantum antiferromagnet BaCu{sub 2}(Si{sub 0.5}Ge{sub 0.5}){sub 2}O{sub 7}, where the exchange constant fluctuates due to a random distribution of Si and Ge atoms. The measured low-energy spectrum is dominated by localized excitations and can be understood in the framework of the random singlet model. The observed scaling relations for the frequency dependencies of the correlation length and structure factor are in excellent agreement with recent theoretical predictions for the renormalization group fixed point.
  • Scaling behavior of spin gap of a bond alternating spin-1/2 anisotropic Heisenberg chain has been studied both in ferromagnetic (FM) and antiferromagnetic (AFM) cases. Spin gap has been estimated by using exact diagonalization technique. All those quantities have been obtained for a region of anisotropic parameter Δ defined by 0≤Δ≤1. Spin gap is found to develop as soon as the non-uniformity in the alternating bond strength is introduced in the AFM regime which furthermore sustains in the FM regime as well. Scaling behavior of the spin gap has been studied by introducing scaling exponent. The variation of scaling exponents withmore » Δ is fitted with a regular function.« less
  • The quasi-one-dimensional bond-alternating S=1 quantum antiferromagnet [Ni(N,N'-bis(3aminopropyl)propane-1,3-diamine({mu}-NO{sub 2})]ClO{sub 4} (NTENP) is studied by single-crystal inelastic neutron scattering. Parameters of the measured dispersion relation for magnetic excitations are compared to existing numerical results and used to determine the magnitude of bond-strength alternation. The measured neutron-scattering intensities are also analyzed, using the first-moment sum rules for the magnetic dynamic structure factor, to directly determine the modulation of ground-state exchange energies. These independently determined modulation parameters characterize the level of spin dimerization in NTENP. First-principles density-matrix renormalization-group calculations are used to study the relation between these two quantities.
  • Low temperature dynamics of the S=(1)/(2) Heisenberg chain is studied via a simple ansatz generalizing the conformal mapping and analytic continuation procedures to correlation functions with multiplicative logarithmic factors. Closed form expressions for the dynamic susceptibility and the NMR relaxation rates 1/T{sub 1} and 1/T{sub 2G} are obtained, and are argued to improve the agreement with recent experiments. Scaling in q/T and {omega}/T are violated due to these logarithmic terms. Numerical results show that the logarithmic corrections are very robust. While not yet in the asymptotic low temperature regime, they provide striking qualitative confirmation of the theoretical results. {copyright} {italmore » 1997} {ital The American Physical Society}« less
  • The spin evolution equation of an isotropic, quantum ferromagnetic Heisenberg chain is analyzed in the continuum approximation using spin-coherent states. The advantages of this approach are discussed. Magnetic solitary-wave solutions are found, and the expectation values of the energy, momentum, and angular momentum corresponding to these solutions are determined. The energy-momentum dispersion relation for the nonlinear excitations is derived. The semiclassical spectrum is shown to arise when quantum effects are neglected by using a random-phase approximation to calculate certain expectation values. On including the quantum effects, it is found that the spectrum comprises two branches: a lower-energy branch of spin-wave-like,more » small-amplitude solitary waves with small quantum corrections, and a higher branch of particlelike large-amplitude solitary waves subject to significant quantum corrections for small {ital S} values. A heuristic discussion of the stability of these excitations is presented. A physical interpretation of the dispersion relation obtained is given.« less