,Quantum phase transition and von Neumann entropy of quasiperiodic Hubbard chains

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The half-filled Hubbard chains with the Fibonacci and Harper modulating site potentials are studied in a selfconsistent mean-field approximation.A new order parameter is introduced to describe a charge density order.We also calculate the yon Neumann entropy of the ground state.The results show that the yon Neumann entropy can identify a CDW/SDW (charge density wave/spin density wave) transition for quasiperiodic models.
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