Frustrated Heisenberg antiferromagnet on the pyrochlore lattice

作者: Akihisa Koga , Norio Kawakami

DOI: 10.1103/PHYSREVB.63.144432

关键词: TetrahedronQuantum phase transitionAntiferromagnetismSpin (physics)PhysicsCondensed matter physicsSeries expansionPhase diagramPyrochloreHeisenberg model

摘要: We investigate quantum phase transitions for the $s=\frac{1}{2}$ antiferromagnetic Heisenberg model on pyrochlore lattice. By means of series expansion method starting from isolated tetrahedra, ground-state diagram is determined. When ratio two competing exchange couplings varied, a first-order (second-order) transition occurs between spin gap phases (the spin-gap and phases). also discuss some properties expected $s=1$ system.

参考文章(30)
Joel Louis Lebowitz, Cyril Domb, Melville S. Green, Phase Transitions and Critical Phenomena ,(1972)
M. J. Harris, S. T. Bramwell, D. F. McMorrow, T. Zeiske, K. W. Godfrey, Geometrical frustration in the ferromagnetic pyrochlore Ho 2 Ti 2 O 7 Physical Review Letters. ,vol. 79, pp. 2554- 2557 ,(1997) , 10.1103/PHYSREVLETT.79.2554
A. P. Ramirez, A. Hayashi, R. J. Cava, R. Siddharthan, B. S. Shastry, Zero-point entropy in ‘spin ice’ Nature. ,vol. 399, pp. 333- 335 ,(1999) , 10.1038/20619
S. Kondo, D. C. Johnston, C. A. Swenson, F. Borsa, A. V. Mahajan, L. L. Miller, T. Gu, A. I. Goldman, M. B. Maple, D. A. Gajewski, E. J. Freeman, N. R. Dilley, R. P. Dickey, J. Merrin, K. Kojima, G. M. Luke, Y. J. Uemura, O. Chmaissem, J. D. Jorgensen, LiV2O4: A Heavy Fermion Transition Metal Oxide Physical Review Letters. ,vol. 78, pp. 3729- 3732 ,(1997) , 10.1103/PHYSREVLETT.78.3729
M. J. P. Gingras, C. V. Stager, N. P. Raju, B. D. Gaulin, J. E. Greedan, Static Critical Behavior of the Spin-Freezing Transition in the Geometrically Frustrated Pyrochlore Antiferromagnet Y 2 Mo 2 O 7 Physical Review Letters. ,vol. 78, pp. 947- 950 ,(1997) , 10.1103/PHYSREVLETT.78.947
A. B. Harris, A. J. Berlinsky, C. Bruder, Ordering by quantum fluctuations in a strongly frustrated Heisenberg antiferromagnet Journal of Applied Physics. ,vol. 69, pp. 5200- 5202 ,(1991) , 10.1063/1.348098
B. Canals, C. Lacroix, Pyrochlore Antiferromagnet: A Three-Dimensional Quantum Spin Liquid Physical Review Letters. ,vol. 80, pp. 2933- 2936 ,(1998) , 10.1103/PHYSREVLETT.80.2933
Benjamin Canals, Claudine Lacroix, Quantum spin liquid: The Heisenberg antiferromagnet on the three-dimensional pyrochlore lattice Physical Review B. ,vol. 61, pp. 1149- 1159 ,(2000) , 10.1103/PHYSREVB.61.1149
Makoto Isoda, Shigeyoshi Mori, Valence-Bond Crystal and Anisotropic Excitation Spectrum on 3-Dimensionally Frustrated Pyrochlore Journal of the Physical Society of Japan. ,vol. 67, pp. 4022- 4025 ,(1998) , 10.1143/JPSJ.67.4022