Ground-State Properties of the Spin-1/2 Heisenberg-Ising Bond Alternating Chain with Dzyaloshinskii-Moriya Interaction

• Authors: J. Strečka , L. Gálisová , O. Derzhko
• Languages of publication: EN

Abstracts

EN

Ground-state energy is exactly calculated for the spin-1/2 Heisenberg-Ising bond alternating chain with the Dzyaloshinskii-Moriya interaction. Under certain condition, which relates a strength of the Ising, Heisenberg and Dzyaloshinskii-Moriya interactions, the ground-state energy exhibits an interesting nonanalytic behavior accompanied with a gapless excitation spectrum.

Keywords

EN

05.50.+q; 05.70.Jk; 64.60.De; 75.10.Pq

Discipline

• 75.10.Pq: Spin chain models
• 64.60.De: Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.)
• 05.50.+q: Lattice theory and statistics (Ising, Potts, etc.)(see also 64.60.Cn Order-disorder transformations, and 75.10.Hk Classical spin models)
• 05.70.Jk: Critical point phenomena(for quantum critical phenomena in superconductivity, see 74.40.Kb)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2010
• Volume: 118
• Issue: 5
• Pages: 742-744

Dates

published

2010-11

Contributors

author

J. Strečka

• Department of Theoretical Physics and Astrophysics, Faculty of Science, P.J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovak Republic

author

L. Gálisová

• Department of Applied Mathematics, Faculty of Mechanical Engineering, Technical University, Letná 9, 042 00 Košice, Slovak Republic

author

O. Derzhko

• Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, 1 Svientsitskii Str., L'viv-11, 79011, Ukraine

References

• 1. D.C. Mattis, The Many-Body Problem: An Encyclopedia of Exactly Solved Models in One Dimension, World Scientific, Singapore 1993
• 2. E. Lieb, T. Schultz, D. Mattis, Ann. Phys. 16, 407 (1961)
• 3. H. Yao, J. Li, Ch.-D. Gong, Solid State Commun. 121, 687 (2002)

Identifiers

DOI

10.12693/APhysPolA.118.742