To Magnetic Solutions of the Hubbard Model

Lindner, U.; Schumacher, Walter

doi:10.1002/pssb.2221550127

Cited by 4 publications

(7 citation statements)

References 16 publications

(3 reference statements)

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“…The former is determined from the minimisation of the free energy given in (33) in the next subsection in the limit q -, -1. Relying on our ansatz (23) we find that the instability of the AB-CDW towards a deviation of 7 from -1 is the relevant instability since it precedes the divergence of ~( 7 , A). This modifies our results presented previously [431.…”

Section: Second Order Transitionsmentioning

confidence: 85%

“…1. For the spatial structure of the incommensurate phase we proposed a very general ansatz (23) in product form. We were able to show that within this framework the free energy of the ip depends only on the amplitude b 0 of the order parameter and on the parameter of incommensurability which is directly linked by = 2h 1 to the relative frequency h that the order parameter has the same sign on two randomly chosen adjacent sites (see appendix A).…”

Section: Discussionmentioning

confidence: 99%

“…Relying on our ansatz (23) we nd that the instability of the ab-cdw towards a deviation of from -1 is the relevant instability since it precedes the divergence of ( ; ). This modi es our results presented previously 43].…”

Section: Second Order Transitionsmentioning

confidence: 92%

“…Henceforth, we will drop the explicit notation of the k-dependence of q. The analysis of the relation (10) for general values of q is similar to the one of Lindner and Schumacher [23] for the two-dimensional Hubbard model and to the one of Freericks [31] for the infinite dimensional Falicov-Kimball model. Coming from low interaction and low filling we look for the minimum value of the interaction at which the susceptibility diverges for some value of q.…”

Section: Second Order Transitionsmentioning

confidence: 96%

“…In order to investigate phase separation including the incommensurate phase given by the ansatz (23) the free energy functional…”

Section: First Order Transitionsmentioning

confidence: 99%

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Zero and finite temperature phase diagram of the spinless fermion model in infinite dimensions

Uhrig

Vlaming

1995

Annalen der Physik

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The phase diagram of the model of spinless fermions with repulsive nearest neighbour interaction is calculated analytically on a hypercubic lattice in in nite dimensions (d ! 1). In spite of its simplicity the model displays a rich phase diagram depending on the doping , the interaction U and the temperature T . The system can be in the homogeneous phase (hom), the nonsegregated AB charge density wave (ab-cdw), the AB phase separation region (ps-ab/hom; coexistence of ab-cdw and hom), the incommensurate phase (ip) or the IP phase separation region (ps-ab/ip; coexistence of ab-cdw and ip). We identify three important values of the interaction U IPL = 0:572 < U IPH = 1:914 < U IP=PS = 4:212 which distinguish four intervals of U . These imply four di erent types of phase diagrams. In all the three phase diagrams with U below U IP=PS the ip appears. We propose a new general ansatz for the order parameter of this phase. A competition between the ip, the ps-ab/ip and the ps-ab/hom is found. The relevance of our ndings for the phase scenario of the Hubbard model is shown.

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Section: Second Order Transitionsmentioning

confidence: 85%

Section: Discussionmentioning

confidence: 99%

Section: Second Order Transitionsmentioning

confidence: 92%

Section: Second Order Transitionsmentioning

confidence: 96%

“…In order to investigate phase separation including the incommensurate phase given by the ansatz (23) the free energy functional…”

Section: First Order Transitionsmentioning

confidence: 99%