Frustration-Driven Quantum Phase Transition in the 1D Extended Anisotropic Heisenberg Model

• Authors: E. Plekhanov , A. Avella , F. Mancini
• Languages of publication: EN

Abstracts

EN

By using density matrix renormalization group technique we study the 1D extended anisotropic Heisenberg model. We find that starting from the ferromagnetic phase, the system undergoes two quantum phase transitions induced by frustration. By increasing the next-nearest-neighbor interaction, the ground state of the system changes smoothly from a completely polarized state to a next-nearest-neighbor correlated one. On the contrary, letting the in-plane interaction to be greater than the out-of-plane one, the ground state changes abruptly.

Keywords

EN

75.10.Jm; 75.30.Kz; 75.10.Pq; 75.40.Mg

Discipline

• 75.40.Mg: Numerical simulation studies
• 75.10.Pq: Spin chain models
• 75.30.Kz: Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.)(for ferroelectric phase transitions, see 77.80.B-; for superconductivity phase diagrams, see 74.25.Dw)
• 75.10.Jm: Quantized spin models, including quantum spin frustration

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2008
• Volume: 113
• Issue: 1
• Pages: 429-432

Dates

published

2008-01

received

2007-07-09

Contributors

author

E. Plekhanov

• Dipartimento di Fisica "E.R. Caianiello" - UnitàCNISM di Salerno, Universita degli Studi di Salerno, 84081 Baronissi (SA), Italy

author

A. Avella

• Dipartimento di Fisica "E.R. Caianiello" - UnitàCNISM di Salerno, Universita degli Studi di Salerno, 84081 Baronissi (SA), Italy

author

F. Mancini

• Dipartimento di Fisica "E.R. Caianiello" - UnitàCNISM di Salerno, Universita degli Studi di Salerno, 84081 Baronissi (SA), Italy

References

• 1. S.L. Sondhi, S.M. Girvin, J.P. Carini, D. Shahar, Rev. Mod. Phys. 69, 315 (1997)
• 2. H. Bethe, Z. Phys. B 71, 205 (1931);L. Hulten, Arkiv Mat. Astron. Fyz. B 25A, 1 (1938)
• 3. See e.g. F.D.M. Haldane, Phys. Rev. B 25, 4925 (1982);L. Capriotti, F. Becca, S. Sorella, A. Parola, Phys. Rev. B 67, 172404 (2003);A. Chubukov, Phys. Rev. B 44, 4693 (1991)
• 4. S.R. White, Phys. Rev. Lett. 69, 2863 (1992);Phys. Rev. B 48, 10345 (1993)
• 5. E. Plekhanov, A. Avella, F. Mancini, Phys. Rev. B 74, 115120 (2006)

Identifiers

DOI

10.12693/APhysPolA.113.429