Incommensurate magnetic order and phase separation in the two-dimensional Hubbard model with nearest and next-nearest neighbor hopping

Abstract

We consider the ground state magnetic phase diagram of the two-dimensional Hubbard model with nearest and next-nearest neighbor hopping in terms of electronic density and interaction. We treat commensurate ferro- and antiferromagnetic, as well as incommensurate (spiral) magnetic phases. The first-order magnetic transitions with changing chemical potential, resulting in a phase separation (PS) in terms of density, are found between ferromagnetic, antiferromagnetic and spiral magnetic phases. We argue that the account of PS has a dramatic influence on the phase diagram in the vicinity of half-filling. The results imply possible interpretation of the unusual behavior of magnetic properties of one-layer cuprates in terms of PS between collinear and spiral magnetic phases. The relation of the results obtained to the magnetic properties of ruthenates is also discussed.

19 pages, 7 figures

References in corpus (7)

• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Spin dynamics in the pseudogap state of a high-temperature superconductor
• Spatially inhomogeneous phase in the two-dimensional repulsive Hubbard model
• Interaction flow method for many-fermion systems
• Destruction of Neel order and local spin spirals in insulating La_{2-x}Sr_xCuO_4
• Change of the Ground State upon Hole Doping Unveiled by Ni Impurity in High-$T_{\mathrm{c}}$ Cuprates
• Spin fluctuations and ferromagnetic order in two-dimensional itinerant systems with Van Hove singularities

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