Stability analysis of the Hubbard model

被引:61
作者
Grote, I [1 ]
Körding, E [1 ]
Wegner, F [1 ]
机构
[1] Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany
关键词
D O I
10.1023/A:1013804405357
中图分类号
O59 [应用物理学];
学科分类号
摘要
An effective Hartree-Fock-Bogoliubov-type interaction is calculated for the Hubbard model in second order in the coupling by means of flow equations. A stability analysis is performed in order to obtain the transition into various possible phases. We find, that the second order contribution weakens the tendency for the antiferromagnetic transition. Apart from a possible antiferromagnetic transition the d-wave Pomeranchuk instability recently reported by Halboth and Metzner is usually the, strongest instability. A newly found instability is of p-wave character and yields band-splitting. In the BCS-channel one obtains the strongest contribution for d(x2-y2)-waves. Other types of instabilities of comparable strength are also reported.
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页码:1385 / 1409
页数:25
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