Low-Temperature Properties of the Quantum Heisenberg Antiferromagnet on Some One-Dimensional Lattices Containing Equilateral Triangles

• Authors: M. Maksymenko , O. Derzhko , J. Richter
• Languages of publication: EN

Abstracts

EN

We consider the quantum Heisenberg antiferromagnet in a magnetic field on two one-dimensional lattices containing equilateral triangles (a chain of corner-sharing double tetrahedra and a frustrated three-leg ladder) which support localized-magnon states. By mapping of the localized-magnon degrees of freedom on a classical lattice gas we obtain high-field thermodynamic quantities of the models at low temperatures.

Keywords

EN

75.10.Jm; 75.40.Gb

Discipline

• 75.40.Gb: Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.)
• 75.10.Jm: Quantized spin models, including quantum spin frustration

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 119
• Issue: 6
• Pages: 860-862

Dates

published

2011-06

received

2010-11-09

Contributors

author

M. Maksymenko

• Institute for Condensed Matter Physics, NAS of Ukraine, 1 Svientsitskii Street, L'viv-11, 79011, Ukraine

author

O. Derzhko

• Institute for Condensed Matter Physics, NAS of Ukraine, 1 Svientsitskii Street, L'viv-11, 79011, Ukraine

author

J. Richter

• Institut für Theoretische Physik, Universität Magdeburg, P.O. Box 4120, 39016 Magdeburg, Germany

References

• 1. J. Schulenburg, A. Honecker, J. Schnack, J. Richter, H.-J. Schmidt, Phys. Rev. Lett. 88, 167207 (2002)
• 2. O. Derzhko, J. Richter, A. Honecker, H.-J. Schmidt, Fiz. Nizk. Temp. (Kharkiv) 33, 982 (2007); Low Temp. Phys. 33, 745 (2007)
• 3. O. Rojas, F.C. Alcaraz, Phys. Rev. B 67, 174401 (2003)
• 4. A. Honecker, F. Mila, M. Troyer, Eur. Phys. J. B 15, 227 (2000)
• 5. O. Derzhko, J. Richter, Eur. Phys. J. B 52, 23 (2006)
• 6. F. Albuquerque, F. Alet, P. Corboz, P. Dayal, A. Feiguin, S. Fuchs, L. Gamper, E. Gull, S. Gürtler, A. Honecker, R. Igarashi, M. Körner, A. Kozhevnikov, A. Läuchli, S.R. Manmana, M. Matsumoto, I.P. McCulloch, F. Michel, R.M. Noack, G. Pawłowski, L. Pollet, T. Pruschke, U. Schollwöck, S. Todo, S. Trebst, M. Troyer, P. Werner, S. Wessel, J. Magn. Magn. Mater. 310, 1187 (2007)
• 7. G. Seeber, P. Kögerler, B.M. Kariuki, L. Cronin, Chem. Commun., 1580 (2004)
• 8. N.B. Ivanov, J. Schnack, R. Schnalle, J. Richter, P. Kögerler, G.N. Newton, L. Cronin, Y. Oshima, H. Nojiri, Phys. Rev. Lett. 105, 037206 (2010)
• 9. O. Derzhko, T. Krokhmalskii, J. Richter, Phys. Rev. B 82, 214412 (2010)
• 10. M. Trif, F. Troiani, D. Stepanenko, D. Loss, Phys. Rev. Lett. 101, 217201 (2008)
• 11. L.N. Bulaevskii, C.D. Batista, M.V. Mostovoy, D.I. Khomskii, Phys. Rev. B 78, 024402 (2008)
• 12. B. Georgeot, F. Mila, arXiv:0902.4652
• 13. C.D. Batista, B.S. Shastry, Phys. Rev. Lett. 91, 116401 (2003)
• 14. A. Honecker, J. Richter, Condens. Matter Phys. (L'viv) 8, 813 (2005)
• 15. O. Derzhko, A. Honecker, J. Richter, Phys. Rev. B 76, 220402(R) (2007); 79, 054403 (2009); O. Derzhko, J. Richter, A. Honecker, M. Maksymenko, R. Moessner, Phys. Rev. B 81, 014421 (2010)

Identifiers

DOI

10.12693/APhysPolA.119.860