Phase diagram of the spin-1/2J1-J2-J3Heisenberg model on the square lattice with ferromagneticJ1

We deal with a 2D half occupied square lattice with repulsive interactions between first and second neighboring particles. Despite the intensive studies of the present model the central point of the phase diagram for which the ratio of the two interaction strengths is still open. In the present paper we show, using standard Monte Carlo calculations, that the situation corresponds to a phase of mixed ordered structures quantified by an “algebraic” order parameter defined as the sum of densities of the existing ordered clusters. The introduced grandeur also characterizes the transitions towards the known pure ordered phases for the other values of as mentioned by the agreement of our results with those of the literature. The computation of the Cowley short range order parameter against suggests that the central point is bicritical and is a state to cross when passing between the two pure phases.

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Magnetic Phase Diagram Slightly below the Saturation Field in the StackedJ1–J2Model in the Square Lattice with theJCInterlayer Coupling

Journal of the Physical Society of Japan ◽

10.7566/jpsj.84.023601 ◽

2015 ◽

Vol 84 (2) ◽

pp. 023601 ◽

Cited By ~ 8

Author(s):

Hiroaki T. Ueda

Keyword(s):

Phase Diagram ◽

Magnetic Phase ◽

Magnetic Phase Diagram ◽

Square Lattice ◽

Saturation Field

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Phase diagram of an anisotropic J1−J2−J3 model of a spin- square-lattice antiferromagnet

Solid State Communications ◽

10.1016/j.ssc.2004.02.024 ◽

2004 ◽

Vol 130 (5) ◽

pp. 301-303 ◽

Cited By ~ 1

Author(s):

Z.H. Dong

Keyword(s):

Phase Diagram ◽

Square Lattice

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GROUND STATE OF THE 2D EXTENDED HUBBARD MODEL WITH MORE THAN NEAREST-NEIGHBOR INTERACTIONS

International Journal of Modern Physics B ◽

10.1142/s0217979212501561 ◽

2012 ◽

Vol 26 (29) ◽

pp. 1250156 ◽

Cited By ~ 4

Author(s):

S. HARIR ◽

M. BENNAI ◽

Y. BOUGHALEB

Keyword(s):

Phase Diagram ◽

Hubbard Model ◽

Ground State ◽

State Energy ◽

Nearest Neighbor ◽

Finite Size ◽

Square Lattice ◽

Extended Hubbard Model ◽

Eigenvalues And Eigenvectors ◽

Repulsion Energy

We investigate the ground state phase diagram of the two dimensional Extended Hubbard Model (EHM) with more than Nearest-Neighbor (NN) interactions for finite size system at low concentration. This EHM is solved analytically for finite square lattice at one-eighth filling. All eigenvalues and eigenvectors are given as a function of the on-site repulsion energy U and the off-site interaction energy Vij. The behavior of the ground state energy exhibits the emergence of phase diagram. The obtained results clearly underline that interactions exceeding NN distances in range can significantly influence the emergence of the ground state conductor–insulator transition.

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