Breakdown of a Magnetization Plateau in Ferrimagnetic Mixed Spin-(1/2,S) Heisenberg Chains due to a Quantum Phase Transition towards the Luttinger Spin Liquid

• Authors: J. Strečka
• Languages of publication: EN

Abstracts

EN

Magnetization curves of the ferrimagnetic mixed spin-(1/2,S) Heisenberg chains are calculated with the help of density-matrix renormalization group method for several quantum spin numbers S=1, 3/2, 2 and 5/2. It is shown that the ferrimagnetic mixed spin-(1/2,S) Heisenberg chains exhibit irrespective of the spin value S exactly one intermediate magnetization plateau, which can be identified with the gapped Lieb-Mattis ferrimagnetic ground state. The magnetization plateau due to the Lieb-Mattis ferrimagnetism breaks down at a quantum phase transition towards the Luttinger spin liquid, which is characterized by a continuous change of the magnetization with the magnetic field until another quantum critical point is reached at the saturation field.

Keywords

EN

75.10.Pq; 75.10.Kt; 75.30.Kz; 75.40.Cx; 75.60.Ej

Discipline

• 75.10.Pq: Spin chain models
• 75.10.Kt: Quantum spin liquids, valence bond phases and related phenomena
• 75.40.Cx: Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)
• 75.60.Ej: Magnetization curves, hysteresis, Barkhausen and related effects(for hysteresis in ferroelectricity, see 77.80.Dj)
• 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)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 131
• Issue: 4
• Pages: 624-626

Dates

published

2017-04

Contributors

author

J. Strečka

• Institute of Physics, Faculty of Science, P.J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovakia

References

• [1] S. Yamamoto, T. Sakai, J. Phys. Condens. Matter 11, 5175 (1999), doi: 10.1088/0953-8984/11/26/318
• [2] T. Sakai, S. Yamamoto, Phys. Rev. B 60, 4053 (1999), doi: 10.1103/PhysRevB.60.4053
• [3] A. Honecker, F. Mila, M. Troyer, Eur. Phys. J. B 15, 227 (2000), doi: 10.1007/s100510051120
• [4] S. Yamamoto, T. Sakai, Phys. Rev. B 62, 3795 (2000), doi: 10.1103/PhysRevB.62.3795
• [5] T. Sakai, S. Yamamoto, Phys. Rev. B 65, 214403 (2002), doi: 10.1103/PhysRevB.65.214403
• [6] A.S.F. Tenório, R.R. Montenegro-Filho, M.D. Coutinho-Filho, J. Phys. Condens. Matter 23, 506003 (2011), doi: 10.1088/0953-8984/23/50/506003
• [7] M. Oshikawa, M. Yamanaka, I. Affleck, Phys. Rev. Lett. 78, 1984 (1997), doi: 10.1103/PhysRevLett.78.1984
• [8] E. Lieb, D. Mattis, J. Math. Phys. 3, 749 (1962), doi: 10.1063/1.1724276
• [9] B. Bauer, L.D. Carr, H.G. Evertz, A. Feiguin, J. Freire, S. Fuchs, L. Gamper, J. Gukelberger, E. Gull, S. Guertler, A. Hehn, R. Igarashi, S.V. Isakov, D. Koop, P.N. Ma, P. Mates, H. Matsuo, O. Parcollet, G. Pawlowski, J.D. Picon, L. Pollet, E. Santos, V.W. Scarola, U. Schollwöck, C. Silva, B. Surer, S. Todo, S. Trebst, M. Troyer, M.L. Wall, P. Werner, S. Wessel, J. Stat. Mech. Theor. Exp. 2011, P05001 (2011), doi: 10.1088/1742-5468/2011/05/P05001
• [10] O. Kahn, Struct. Bonding (Berlin) 68, 89 (1987), doi: 10.1007/3-540-18058-33
• [11] M. Drillon, E. Coronado, D. Beltran, R. Georges, J. Appl. Phys. 57, 3353 (1985), doi: 10.1063/1.335094

Identifiers

DOI

10.12693/APhysPolA.131.624