Publications (3)7.4 Total impact
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ABSTRACT: The onedimensional S = 1 quantum spin chain with a linear and bilinear nearestneighbour interaction of equal strength is integrable by the nested Bethe ansatz. In this paper the model is studied in the presence of an external magnetic field and an internal crystal field. By solving the Bethe ansatz equations for chains up to length N = 360 we construct the complete phase diagram of the system. We discuss how the magnetization curves depend on the internal field. In the SU(3) phase, where all three densities of atoms with component 1, 0, +1 are nonvanishing, lines of constant density can be approximately parametrized by modified hypocycloides. 
Article: Static and dynamic structure factors in the Haldane phase of the bilinearbiquadratic spin1 chain
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ABSTRACT: The excitation spectra of the T = 0 dynamic structure factors for the spin, dimer, and trimer fluctuation operators as well as for the center fluctuation operator in the onedimensional S = 1 Heisenberg model with isotropic bilinear (J cos theta) and biquadratic (J sin theta) exchange are investigated via the recursion method for systems with up to N = 18 sites over the predicted range,  pi/4 < theta less than or similar to pi/4, of the topologically ordered Haldane phase. The four static and dynamic structure factors probe the ordering tendencies in the various coupling regimes and the elementary and composite excitations which dominate the T = 0 dynamics. At theta = arctan1/3 (valencebond solid point), the dynamically relevant spectra in the invariant subspaces with total spin ST = 0,1,2 are dominated by a branch of magnon states (ST = 1), by continua of twomagnon scattering states (ST = 0,1,2), and by discrete branches of twomagnon bound states with positive interaction energy (ST = 0,2). The dimer and trimer spectra at q = pi are found to consist of single modes with Nindependent excitation energies omega(lambda)(D)//e(0)/ = 5 and omega(lambda)(T)//e(0)/ = 6, where e(0) = E0/N is the groundstate energy per site. The basic structure of the dynamically relevant excitation spectrum remains the same over a substantial parameter range within the Haldane phase. At the transition to the dimerized phase (theta =  pi/4), the twomagnon excitations turn into twospinon excitations.  [Show abstract] [Hide abstract]
ABSTRACT: In the presence of a uniform field the onedimensional spin$\frac{1}{2}$ antiferromagnetic Heisenberg model develops zero frequency excitations at fielddependent 'soft mode' momenta. We determine three types of critical quantities, which we extract from the finitesize dependence of the lowest excitation energies, the singularities in the static structure factors and the infrared singularities in the dynamical structure factors at the soft mode momenta. We also compare our results with the predictions of conformal field theory. Comment: 12 pages, REVTEX, 7 figures, submitted to Physical Review B
Publication Stats
56  Citations  
7.40  Total Impact Points  
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Institutions

19961998

Bergische Universität Wuppertal
 Department of Physik
Wuppertal, North RhineWestphalia, Germany
