Abstract
Quantum magnetic phase transition in square-octagon lattice was investigated by cellular dynamical mean field theory combining with continuous time quantum Monte Carlo algorithm. Based on the systematic calculation on the density of states, the double occupancy and the Fermi surface evolution of square-octagon lattice, we presented the phase diagrams of this splendid many particle system. The competition between the temperature and the on-site repulsive interaction in the isotropic square-octagon lattice has shown that both antiferromagnetic and paramagnetic order can be found not only in the metal phase, but also in the insulating phase. Antiferromagnetic metal phase disappeared in the phase diagram that consists of the anisotropic parameter λ and the on-site repulsive interaction U while the other phases still can be detected at T = 0.17. The results found in this work may contribute to understand well the properties of some consuming systems that have square-octagon structure, quasi square-octagon structure, such as ZnO.
Highlights
Quantum magnetic phase transition in square-octagon lattice was investigated by cellular dynamical mean field theory combining with continuous time quantum Monte Carlo algorithm
Antiferromagnetic metal phase disappeared in the phase diagram that consists of the anisotropic parameter l and the on-site repulsive interaction U while the other phases still can be detected at T 5 0.17
The cellular dynamical mean field theory (CDMFT)[37,38,39,40,41,42], which maps the lattice to a selfconsistent embedded cluster in real space, was adopted to deal with the Hubbard model and the continuous time quantum Monte Carlo (CTQMC)[47] algorithm was used as a impurity solver to deal with the mean field equations
Summary
Correspondence and requests for materials should be addressed to W.-M.L. The discovery and classification of quantum phases of matters and the transition between these distinctive phases have been recurring theme in condensed matter physics for many years and still wheel the researchers’ extensive interests[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15] Notable quantum phases, such as super-conductivity, quantum hall effect, Mott insulating phase and topological phase, have great significance in theoretical investigations and promising potential in applications. We presented phase diagram which consists of the competition between the temperature and on-site repulsive interaction for isotropic square-octagon lattice and the the competition between the anisotropy and on-site repulsive interaction
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