Ferromagnetic ground states for the Hubbard model on line graphs
作者： A Mielke
DOI: 10.1088/0305-4470/24/2/005
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摘要: The author discusses some of the properties Hubbard model on a line graph with n vertices. It is shown that has ferromagnetic ground states if interaction repulsive (U)0) and number electrons N satisfies 2n>or=N>or=M. M natural depends graph. For example, Kagome lattice graph, it M=5n/3-1.
sci-hub.se 参考文章(12)
P. W. Anderson, Ordering and Antiferromagnetism in Ferrites Physical Review. ,vol. 102, pp. 1008- 1013 ,(1956) , 10.1103/PHYSREV.102.1008
Michael Aizenman, Elliott H. Lieb, Magnetic properties of some itinerant-electron systems at T>0. Physical Review Letters. ,vol. 65, pp. 1470- 1473 ,(1990) , 10.1103/PHYSREVLETT.65.1470
András Sütö, Bounds on ferromagnetism at T>0 in the hard-core electron lattice gas. Physical Review B. ,vol. 43, pp. 8779- 8781 ,(1991) , 10.1103/PHYSREVB.43.8779
Conyers Herring, On the possibility of saturated ferromagnetism Physical Review B. ,vol. 11, pp. 2056- 2061 ,(1975) , 10.1103/PHYSREVB.11.2056
Yosuke Nagaoka, Ferromagnetism in a Narrow, Almost Half-Filled s Band Physical Review. ,vol. 147, pp. 392- 405 ,(1966) , 10.1103/PHYSREV.147.392
A.J. Hoffman, On graphs whose least eigenvalue exceeds − 1 − √2 Linear Algebra and its Applications. ,vol. 16, pp. 153- 165 ,(1977) , 10.1016/0024-3795(77)90027-1
Hal Tasaki, Extension of Nagaoka's theorem on the large-U Hubbard model. Physical Review B. ,vol. 40, pp. 9192- 9193 ,(1989) , 10.1103/PHYSREVB.40.9192
Elliott H. Lieb, Two Theorems on the Hubbard Model Physical Review Letters. ,vol. 62, pp. 1201- 1204 ,(1989) , 10.1103/PHYSREVLETT.62.1201
A. Mielke, The One-Dimensional Hubbard Model for Large or Infinite-U Journal of Statistical Physics. ,vol. 62, pp. 509- 528 ,(1991) , 10.1007/BF01017970
D J Thouless, Exchange in solid 3He and the Heisenberg Hamiltonian Proceedings of the Physical Society. ,vol. 86, pp. 893- 904 ,(1965) , 10.1088/0370-1328/86/5/301