Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-02-05
Phys. Rev. B 78, 024440 (2008)
Physics
Condensed Matter
Strongly Correlated Electrons
8 pages, 2 figures; some comments and references added
Scientific paper
10.1103/PhysRevB.78.024440
The many-body Green's function theory with the random-phase approximation is applied to the study of easy-plane spin-1/2 ferromagnets in an in-plane magnetic field. We demonstrate that the usual procedure, in which only the three Green's functions $<< S_i^\mu;S_j^->>$ ($\mu=+,-,z$) are used, yields unreasonable results in this case. Then the problem is discussed in more detail by considering all combinations of Green's functions. We can derive one more equation, which cannot be obtained by using only the set of the above three Green's functions, and point out that the two equations contradict each other if one demands that the identities of the spin operators are exactly satisfied. We discuss the cause of the contradiction and attempt to improve the method in a self consistent way. In our procedure, the effect of the anisotropy can be appropriately taken into account, and the results are in good agreement with the quantum Monte Carlo calculations.
Kurihara Susumu
Todo Synge
Yamamoto Daisuke
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