An optimized cluster density matrix embedding theory

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We propose an optimized cluster density matrix embedding theory (CDMET).It reduces the computational cost of CDMET with simpler bath states.And the result is as accurate as the original one.As a demonstration,we study the distant correlations of the Heisenberg J1-J2 model on the square lattice.We find that the intermediate phase (0.43 (~<) J2 (<~) 0.62) is divided into two parts.One part is a near-critical region (0.43 (~<) J2 (~<) 0.50).The other part is the plaquette valence bond solid (PVB) state (0.51 (~<) J2 (~<) 0.62).The spin correlations decay exponentially as a function of distance in the PVB.
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