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Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest-neighbor exchange interactions

Low Temp. Phys. 35, 455 (2009); doi:10.1063/1.3151992

Issue Date: June 2009

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A. A. Zvyagin
B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov 61103, Ukraine; IFW Dresden, Institute for Solid State Research, P.O. 270116, Dresden D-01171, Germany

V. O. Cheranovskii
V. N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov 61077, Ukraine
A one-dimensional spin-1/2 model in which the alternation of the exchange interactions between neighboring spins is accompanied by the next-nearest-neighbor (NNN) spin exchange (zig-zag spin ladder with alternation) is studied. The thermodynamic characteristics of the model quantum spin chain are obtained in the mean-field-like approximation. Depending on the strength of the NNN interactions, the model manifests either the spin-gapped behavior of low-lying excitations at low magnetic fields, or ferrimagnetic ordering in the ground state with gapless low-lying excitations. The system undergoes second-order or first-order quantum phase transitions, governed by the external magnetic field, NNN coupling strength, and the degree of the alternation. Hence, NNN spin–spin interactions in a dimerized quantum spin chain can produce a spontaneous magnetization. On the other hand, for quantum spin chains with a spontaneous magnetization, caused by NNN spin–spin couplings, the alternation of nearest-neighbor (NN) exchange interactions can cause destruction of that magnetization and the onset of a spin gap for low-lying excitations. Alternating NN interactions produce a spin gap between two branches of low-energy excitations, and the NNN interactions yield asymmetry of the dispersion laws of those excitations, with possible minima corresponding to incommensurate structures in the spin chain. ©2009 American Institute of Physics
History: Submitted 12 January 2009; revised 20 January 2009
Permalink: http://link.aip.org/link/?LTPHEG/35/455/1
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KEYWORDS and PACS

Keywords
PACS
  • 75.30.Et
    Exchange and superexchange interactions in magnetically ordered materials
  • 75.30.Cr
    Saturation moments and magnetic susceptibilities in magnetically ordered materials
  • 75.30.Kz
    Magnetic phase boundaries
  • 75.40.Cx
    Static properties of magnetic materials
  • 75.10.Pq
    Spin chain models (magnetism)
  • 75.10.Jm
    Quantized spin models (magnetism)
  • YEAR: 2009

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ISSN:
1063-777X (print)   1090-6517 (online)
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